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<rfc xmlns:xi="http://www.w3.org/2001/XInclude" ipr="trust200902" docName="draft-ietf-openpgp-pqc-17" number="9980" updates="" obsoletes="" category="std" consensus="true" submissionType="IETF" tocInclude="true" sortRefs="true" symRefs="true" version="3">
  <!-- xml2rfc v2v3 conversion 3.31.0 --> version="3" xml:lang="en">

  <front>
    <title abbrev="PQC in OpenPGP">Post-Quantum Cryptography in OpenPGP</title>
    <seriesInfo name="Internet-Draft" value="draft-ietf-openpgp-pqc-17"/> name="RFC" value="9980"/>
    <author initials="S." surname="Kousidis" fullname="Stavros Kousidis">
      <organization>BSI</organization>
      <address>
        <postal>
          <country>Germany</country>
        </postal>
        <email>kousidis.ietf@gmail.com</email>
      </address>
    </author>
    <author initials="J." surname="Roth" fullname="Johannes Roth">
      <organization>MTG AG</organization>
      <address>
        <postal>
          <country>Germany</country>
        </postal>
        <email>johannes.roth+ietf@posteo.de</email>
      </address>
    </author>
    <author initials="F." surname="Strenzke" fullname="Falko Strenzke">
      <organization>MTG AG</organization>
      <address>
        <postal>
          <country>Germany</country>
        </postal>
        <email>fstrenzke@cryptosource.de</email>
      </address>
    </author>
    <author initials="A." surname="Wussler" fullname="Aron Wussler">
      <organization>Proton AG</organization>
      <address>
        <postal>
          <country>Switzerland</country>
        </postal>
        <email>aron@wussler.it</email>
      </address>
    </author>
    <date year="2026" month="January" day="13"/>
    <area>sec</area>
    <workgroup>Network Working Group</workgroup>
    <keyword>Internet-Draft</keyword> month="May"/>
    <area>SEC</area>
    <workgroup>openpgp</workgroup>

<!-- [rfced] Please insert any keywords (beyond those that appear in
     the title) for use on https://www.rfc-editor.org/search. -->

<keyword>example</keyword>

    <abstract>
      <?line 222?>
<t>This document defines a post-quantum public key algorithm extension for the OpenPGP protocol, extending RFC9580. RFC 9580.
Given the generally assumed threat of a cryptographically relevant quantum computer, this extension provides a basis for long-term secure OpenPGP signatures and ciphertexts.
Specifically, it defines composite public key encryption based on ML-KEM (formerly CRYSTALS-Kyber), composite public key signatures based on ML-DSA (formerly CRYSTALS-Dilithium), both in combination with elliptic curve cryptography, Elliptic Curve Cryptography (ECC), and SLH-DSA (formerly SPHINCS+) as a standalone public key signature scheme.</t>
    </abstract>
    <note removeInRFC="true">
      <name>About This Document</name>
      <t>
        Status information for this document may be found at <eref target="https://datatracker.ietf.org/doc/draft-ietf-openpgp-pqc/"/>.
      </t>
      <t>
        Discussion of this document takes place on the
        WG Working Group mailing list (<eref target="mailto:openpgp@ietf.org"/>),
        which is archived at <eref target="https://mailarchive.ietf.org/arch/browse/openpgp/"/>.
        Subscribe at <eref target="https://www.ietf.org/mailman/listinfo/openpgp/"/>.
      </t>
      <t>Source for this draft and an issue tracker can be found at
        <eref target="https://github.com/openpgp-pqc/draft-openpgp-pqc"/>.</t>
    </note>
  </front>
  <middle>
    <?line 228?>

    <section anchor="introduction">
      <name>Introduction</name>
      <t>The OpenPGP protocol <xref target="RFC9580"/> supports various traditional public key algorithms based on the factoring or discrete logarithm problem.
As the security of algorithms based on these mathematical problems is endangered by the advent of quantum computers, there is a need to extend OpenPGP with algorithms that remain secure in the presence of a cryptographically relevant quantum computer Cryptographically Relevant Quantum Computer (CRQC), i.e., a quantum computer with sufficient capacity to break traditional public key cryptography.</t>
      <t>Such cryptographic algorithms are referred to as post-quantum cryptography (PQC). "Post-Quantum Cryptography" (or "PQC").
      The algorithms defined in this extension were chosen for standardization by the US National Institute of Standards and Technology (NIST) in mid-2022 <xref target="NISTIR-8413"/> as the result of the NIST Post-Quantum Cryptography Standardization process initiated in 2016 <xref target="NIST-PQC"/>.

<!--[rfced] This sentence is difficult to parse please rephrase (and
     perhaps consider breaking up into multiple sentences).

Original:
Namely, these are ML-KEM [FIPS-203] as a Key Encapsulation Mechanism
(KEM), a KEM being a modern building block for public key encryption,
and ML-DSA [FIPS-204] as well as SLH-DSA [FIPS-205] as signature
schemes.

-->
Namely, these are ML-KEM <xref target="FIPS-203"/> as a Key Encapsulation Mechanism (KEM), a KEM being a modern building block for public key encryption, and ML-DSA <xref target="FIPS-204"/> as well as SLH-DSA <xref target="FIPS-205"/> as signature schemes.</t>
      <t>For the two ML-* ML-KEM and ML-DSA schemes, this document follows the conservative strategy to deploy post-quantum in combination with traditional schemes such that the security is retained even if all schemes but one in the combination are broken.
Such combinations are referred to as multi-algorithm "multi-algorithm" or "post-quantum/traditional" (PQ/T) (or "PQ/T") hybrid algorithms.
In contrast, the stateless hash-based signature scheme SLH-DSA is considered to be sufficiently well understood with respect to its security assumptions in order to be used standalone.
To this end, this document specifies the following new set: SLH-DSA standalone and the two ML-* as composite with ECC-based KEM based on ECC and digital signature schemes.
Here, the term "composite" indicates that any data structure or algorithm pertaining to the combination of the two components appears as a single data structure or algorithm from the protocol perspective.</t>
      <t>This document extends <xref target="RFC9580"/> by adding KEM and signature algorithms specified in Sections <xref target="composite-kem-section"/>, target="composite-kem-section" format="counter"/>, <xref target="composite-signature-section"/>, target="composite-signature-section" format="counter"/>, and <xref target="slhdsa-section"/> target="slhdsa-section" format="counter"/> and specifies the conventions for interoperability between compliant OpenPGP implementations.</t>
      <section anchor="conventions-used-in-this-document">
        <name>Conventions used in this Used In This Document</name>
        <t>The
        <t>
    The key words "<bcp14>MUST</bcp14>", "<bcp14>MUST NOT</bcp14>", "<bcp14>REQUIRED</bcp14>", "<bcp14>SHALL</bcp14>", "<bcp14>SHALL
    NOT</bcp14>", "<bcp14>SHOULD</bcp14>", "<bcp14>SHOULD NOT</bcp14>", "<bcp14>RECOMMENDED</bcp14>", "<bcp14>NOT RECOMMENDED</bcp14>",
    "<bcp14>MAY</bcp14>", and "<bcp14>OPTIONAL</bcp14>" in this document are to be interpreted as
    described in BCP 14 <xref target="RFC2119"/> <xref target="RFC8174"/>
    when, and only when, they appear in all capitals, as shown here.</t>
        <?line -18?> here.
        </t>
	<t>In wire format descriptions, the operator "<tt>||</tt>" is used to indicate concatenation of groups of octets.</t>
        <section anchor="terminology-for-multi-algorithm-schemes">
          <name>Terminology for Multi-Algorithm Schemes</name>

<!--[rfced] Would it make sense to include the following sentences
     from the subsections of 5.1 and Section 6 in the Terminology
     section?

Original:
   Throughout this specification EdDSA refers to the PureEdDSA variant
   defined in [RFC8032].

Original:
   Throughout this specification ML-DSA refers to the default pure and
   hedged version of ML-DSA defined in [FIPS-204].

Original:
   Throughout this specification SLH-DSA refers to the default pure and
   hedged version of SLH-DSA defined in [FIPS-205].

-->

          <t>The terminology in this document is oriented towards the definitions in <xref target="RFC9794"/>.
Specifically, the terms "multi-algorithm", "composite" and "non-composite" are used in correspondence with the definitions therein.
The abbreviation "PQ" is used for post-quantum schemes.
To denote the combination of post-quantum and traditional schemes, the abbreviation "PQ/T" is used.
The short form "PQ(/T)" stands for PQ or PQ/T.</t>
        </section>
      </section>
      <section anchor="post-quantum-cryptography">
        <name>Post-Quantum Cryptography</name>
        <t>This section describes the individual post-quantum cryptographic schemes.
All schemes listed here are designed to provide security in the presence of a CRQC.
However, the mathematical problems on which the two ML-* schemes and SLH-DSA are based, based are fundamentally different, and accordingly and, accordingly, the level of trust commonly placed in them as well as their performance characteristics vary.</t>
        <section anchor="mlkem-intro">
          <name>ML-KEM</name>
          <t>ML-KEM <xref target="FIPS-203"/> is based on the hardness of solving the Learning with Errors problem in module lattices (MLWE).
The scheme is believed to provide security against cryptanalytic attacks based on classical as well as quantum algorithms.
This specification defines ML-KEM only in composite combination with ECDH Elliptic Curve Diffie-Hellman (ECDH) encryption schemes in order to provide a pre-quantum security fallback.</t>
        </section>
        <section anchor="mldsa-intro">

          <name>ML-DSA</name>
          <t>ML-DSA <xref target="FIPS-204"/> is a signature scheme that, like ML-KEM, is based on the hardness of solving the Learning With Errors MLWE problem and a variant of the Short Integer Solution problem in module lattices (MLWE and SelfTargetMSIS).
Accordingly, this specification only defines ML-DSA in composite combination with EdDSA Edwards-Curve Digital Signature Algorithm (EdDSA) signature schemes.</t>
        </section>
        <section anchor="slh-dsa">
          <name>SLH-DSA</name>
          <t>SLH-DSA <xref target="FIPS-205"/> is a stateless hash-based signature scheme.
Its security relies on the hardness of finding preimages for cryptographic hash functions.
This feature is generally considered to be a high security guarantee.
Therefore, this specification defines SLH-DSA as a standalone signature scheme.</t>
          <t>In deployments deployments, the performance characteristics of SLH-DSA should be taken into account.
The performance characteristics of this scheme are discussed in <xref target="performance-considerations"/>.</t>
        </section>
      </section>
      <section anchor="elliptic-curve-cryptography">
        <name>Elliptic Curve Cryptography</name>
        <t>ECDH encryption is defined here as a KEM via X25519 and X448 X448, which are defined in <xref target="RFC7748"/>.
EdDSA as defined in <xref target="RFC8032"/> is used as the elliptic curve-based digital signature scheme.</t>
      </section>
      <section anchor="multi-algo-schemes">
        <name>Standalone and Multi-Algorithm Schemes</name>
        <t>This section provides a categorization of the new algorithms and their combinations.</t>
        <section anchor="composite-multi-alg">
          <name>Standalone and Composite Multi-Algorithm Schemes</name>
          <t>This specification introduces new cryptographic schemes, which can be categorized as follows:</t>
          <ul spacing="normal">
            <li>
              <t>PQ/T multi-algorithm public key encryption, namely a composite combination of ML-KEM with ECDH,</t>
            </li>
            <li>
              <t>PQ/T multi-algorithm digital signature, namely composite combinations of ML-DSA with EdDSA,</t> EdDSA, and</t>
            </li>
            <li>
              <t>PQ digital signature, namely SLH-DSA as a standalone cryptographic algorithm.</t>
            </li>
          </ul>
          <t>For each of the composite schemes, this specification mandates that the consuming party successfully perform the cryptographic algorithms for each of the component schemes used in a cryptographic message, for the message to be deciphered and considered as valid.
This means that all component signatures must be verified successfully to achieve a successful verification of the composite signature.
In the case of the composite public key decryption, each of the component KEM decapsulation operations must succeed.</t>
        </section>
        <section anchor="non-composite-multi-alg">
          <name>Non-Composite Algorithm Combinations</name>
          <t>As the OpenPGP protocol <xref target="RFC9580"/> allows for multiple signatures to be applied to a single message, it is also possible to realize non-composite combinations of signatures.
Furthermore, multiple OpenPGP signatures may be combined on the application layer.
These latter two cases realize non-composite combinations of signatures.
<xref target="multiple-signatures"/> specifies how implementations should handle the verification of such combinations of signatures.</t>
          <t>Furthermore, the OpenPGP protocol also allows parallel encryption to different keys by using multiple Public Key Encrypted Session Key (PKESK) packets, thus realizing non-composite multi-algorithm public key encryption.</t>
        </section>
      </section>
    </section>
    <section anchor="supported-public-key-algorithms">
      <name>Supported Public Key Algorithms</name>
      <t>This section specifies the composite ML-KEM + ECDH and ML-DSA + EdDSA schemes as well as the standalone SLH-DSA signature scheme.
All of these schemes are fully specified via their algorithm ID, that is, they are not parametrized.</t> parameterized.</t>
      <section anchor="algorithm-specifications">
        <name>Algorithm Specifications</name>
        <t>For signatures, the following (composite) signature schemes are specified:</t>
        <table anchor="sig-alg-specs">
          <name>Signature algorithm specifications</name> Algorithm Specifications</name>
          <thead>
            <tr>
              <th align="right">ID</th>
              <th align="left">Algorithm</th>
              <th align="left">Requirement</th>
              <th align="left">Definition</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="right">30</td>
              <td align="left">ML-DSA-65+Ed25519</td>
              <td align="left">
                <bcp14>MUST</bcp14></td>
              <td align="left">
                <xref target="ecc-mldsa"/></td>
            </tr>
            <tr>
              <td align="right">31</td>
              <td align="left">ML-DSA-87+Ed448</td>
              <td align="left">
                <bcp14>SHOULD</bcp14></td>
              <td align="left">
                <xref target="ecc-mldsa"/></td>
            </tr>
            <tr>
              <td align="right">32</td>
              <td align="left">SLH-DSA-SHAKE-128s</td>
              <td align="left">
                <bcp14>MAY</bcp14></td>
              <td align="left">
                <xref target="slhdsa"/></td>
            </tr>
            <tr>
              <td align="right">33</td>
              <td align="left">SLH-DSA-SHAKE-128f</td>
              <td align="left">
                <bcp14>MAY</bcp14></td>
              <td align="left">
                <xref target="slhdsa"/></td>
            </tr>
            <tr>
              <td align="right">34</td>
              <td align="left">SLH-DSA-SHAKE-256s</td>
              <td align="left">
                <bcp14>MAY</bcp14></td>
              <td align="left">
                <xref target="slhdsa"/></td>
            </tr>
          </tbody>
        </table>
        <t>For encryption, the following composite KEM schemes are specified:</t>
        <table anchor="kem-alg-specs">
          <name>KEM algorithm specifications</name> Algorithm Specifications</name>
          <thead>
            <tr>
              <th align="left">ID</th>
              <th align="left">Algorithm</th>
              <th align="left">Requirement</th>
              <th align="left">Definition</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">35</td>
              <td align="left">ML-KEM-768+X25519</td>
              <td align="left">
                <bcp14>MUST</bcp14></td>
              <td align="left">
                <xref target="ecc-mlkem"/></td>
            </tr>
            <tr>
              <td align="left">36</td>
              <td align="left">ML-KEM-1024+X448</td>
              <td align="left">
                <bcp14>SHOULD</bcp14></td>
              <td align="left">
                <xref target="ecc-mlkem"/></td>
            </tr>
          </tbody>
        </table>
        <t>A conformant implementation <bcp14>MUST</bcp14> implement ML-DSA-65+Ed25519 and ML-KEM-768+X25519.
It <bcp14>SHOULD</bcp14> also implement ML-DSA-87+Ed448 and ML-KEM-1024+X448,
but it may omit them if targeting a highly constrained environment.
An implementation <bcp14>MAY</bcp14> implement any of the SLH-DSA algorithms.</t>
        <t>The specified algorithm IDs offer two security levels for each scheme, for a tradeoff trade-off between security and performance.
The SLH-DSA algorithms offer an additional performance tradeoff trade-off between signature generation time ("128f" is faster) and signature size ("128s" is smaller) at the lower of the two SLH-DSA security levels.
The larger parameter sets of ML-DSA and ML-KEM (Algorithm IDs 31 and 36) are recommended to support interoperability, but they are not required for compliance.
Implementations targeting highly constrained environments may omit these larger variants.</t>
        <t>For SLH-DSA-SHAKE-256, only the "small" variant is offered to contain signature size.
See also <xref target="performance-considerations"/> for further considerations about parameter choices.</t>
      </section>
    </section>
    <section anchor="algorithm-combinations">
      <name>Algorithm Combinations</name>
      <section anchor="composite-kem">
        <name>Composite KEMs</name>
        <t>The ML-KEM + ECDH public key encryption involves both the ML-KEM and an ECDH KEM in an a priori non-separable inseparable manner.
This is achieved via KEM combination, that is, both key encapsulations/decapsulations are performed in parallel, and the resulting key shares are fed into a key combiner to produce a single shared secret for message encryption.</t>
        <t>As explained in <xref target="non-composite-multi-alg"/>, the OpenPGP protocol inherently supports parallel encryption to different keys.
Note that the confidentiality of a message is not post-quantum secure when encrypting to different keys unless all keys support PQ(/T) encryption schemes.</t>
      </section>
      <section anchor="composite-signatures">
        <name>Composite Signatures</name>
        <t>The ML-DSA + EdDSA signature consists of independent ML-DSA and EdDSA signatures, and an implementation <bcp14>MUST</bcp14> successfully validate both signatures to state that the ML-DSA + EdDSA signature is valid.</t>
      </section>
      <section anchor="multiple-signatures">
        <name>Multiple Signatures</name>
        <t>The OpenPGP message format allows multiple signatures of a message, that is, the attachment of multiple signature packets.</t>
        <t>An implementation <bcp14>MAY</bcp14> sign a message with a traditional key and a PQ(/T) key from the same sender.
This ensures backwards compatibility due to <xref section="5.2.5" sectionFormat="of" target="RFC9580"/>, since a legacy implementation without PQ(/T) support can fall back on the traditional signature.</t>
        <t>Newer implementations with PQ(/T) support <bcp14>MAY</bcp14> ignore the traditional signature(s) during validation.</t>
        <t>Implementations <bcp14>SHOULD</bcp14> consider the message correctly signed if at least one of the non-ignored signatures validates successfully.
This is consistent with <xref section="5.2.5" sectionFormat="of" target="RFC9580"/>.</t>
      </section>
      <section anchor="ecc-requirements">
        <name>ECC Requirements</name>
        <t>Even though the zero point, also called the point at infinity, may occur as a result of arithmetic operations on points of an elliptic curve, it <bcp14>MUST NOT</bcp14> appear in any ECC data structure defined in this document.
An implementation <bcp14>MAY</bcp14> signal an error if this condition is encountered.</t>
        <t>Furthermore, when performing the explicitly listed operations in Sections <xref target="x25519-kem"/> target="x25519-kem" format="counter"/> or <xref target="x448-kem"/> target="x448-kem" format="counter"/>, it is <bcp14>REQUIRED</bcp14> to follow the specification and security advisory mandated from the respective elliptic curve specification <xref target="RFC7748"/>.</t>
      </section>
      <section anchor="key-version-binding">
        <name>Key Version Binding</name>
        <t>All PQ(/T) asymmetric algorithms are to be used only in v6 (and newer) keys and certificates, with the single exception of ML-KEM-768+X25519 (algorithm ID 35), which is also allowed in v4 encryption-capable subkeys.</t>
      </section>
    </section>
    <section anchor="composite-kem-section">
      <name>Composite KEM Schemes</name>
      <section anchor="building-blocks">
        <name>Building Blocks</name>
        <section anchor="ecc-kem">
          <name>ECDH KEM</name>
          <t>In this section, the encryption, decryption, and data formats for the ECDH component of the composite algorithms are defined.</t>
          <t><xref target="tab-ecdh-cfrg-artifacts"/> describes the ECDH KEM parameters and artifact lengths.
The artifacts in <xref target="tab-ecdh-cfrg-artifacts"/> follow the encodings described in <xref target="RFC7748"/>.</t>
          <table anchor="tab-ecdh-cfrg-artifacts">
            <name>Montgomery curve parameters Curve Parameters and artifact lengths</name> Artifact Lengths</name>
            <thead>
              <tr>
                <th align="left"> </th> align="left"/>
                <th align="left">X25519</th>
                <th align="left">X448</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="left">Algorithm ID reference</td>
                <td align="left">35</td>
                <td align="left">36</td>
              </tr>
              <tr>
                <td align="left">ECDH KEM</td>
                <td align="left">X25519-KEM (<xref target="x25519-kem"/>)</td>
                <td align="left">X448-KEM (<xref target="x448-kem"/>)</td>
              </tr>
              <tr>
                <td align="left">ECDH public key</td>
                <td align="left">32 octets</td>
                <td align="left">56 octets</td>
              </tr>
              <tr>
                <td align="left">ECDH secret key</td>
                <td align="left">32 octets</td>
                <td align="left">56 octets</td>
              </tr>
              <tr>
                <td align="left">ECDH ephemeral</td>
                <td align="left">32 octets</td>
                <td align="left">56 octets</td>
              </tr>
              <tr>
                <td align="left">ECDH key share</td>
                <td align="left">32 octets</td>
                <td align="left">56 octets</td>
              </tr>
            </tbody>
          </table>
          <t>The various procedures to perform the operations of an ECDH KEM are defined in the following subsections.
Specifically, each of these subsections defines the instances of the following operations:</t>
          <artwork><![CDATA[
(ecdhCipherText, ecdhKeyShare) <- ECDH-KEM.Encaps(ecdhPublicKey)
]]></artwork> ECDH-KEM.Encaps(ecdhPublicKey)]]></artwork>

          <t>and</t>
          <artwork><![CDATA[
(ecdhKeyShare) <- ECDH-KEM.Decaps(ecdhCipherText, ecdhSecretKey)
]]></artwork> ecdhSecretKey)]]></artwork>

          <t>To instantiate <tt>ECDH-KEM</tt>, one must select a parameter set from <xref target="tab-ecdh-cfrg-artifacts"/>.</t>
          <section anchor="x25519-kem">
            <name>X25519-KEM</name>
            <t>The encapsulation and decapsulation operations of <tt>X25519-KEM</tt> are described using the function <tt>X25519()</tt> and encodings defined in <xref target="RFC7748"/>.
The <tt>ecdhSecretKey</tt> is denoted as <tt>r</tt>, <tt>r</tt> and the <tt>ecdhPublicKey</tt> as <tt>R</tt>, <tt>R</tt>; they are subject to the equation <tt>R = X25519(r, U(P))</tt>.
Here, <tt>U(P)</tt> denotes the u-coordinate of the base point of Curve25519.</t>
            <t>The operation <tt>X25519-KEM.Encaps()</tt> is defined as follows:</t>
            <ol spacing="normal" type="1"><li>
                <t>Generate an ephemeral key pair {<tt>v</tt>, <tt>V</tt>} via <tt>V = X25519(v,U(P))</tt> where <tt>v</tt> is a randomly generated octet string with a length of 32 octets</t>
              </li>
              <li>
                <t>Compute the shared coordinate <tt>X = X25519(v, R)</tt> where <tt>R</tt> is the recipient's public key <tt>ecdhPublicKey</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhCipherText</tt> to <tt>V</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhKeyShare</tt> to <tt>X</tt></t>
              </li>
            </ol>
            <t>The operation <tt>X25519-KEM.Decaps()</tt> is defined as follows:</t>
            <ol spacing="normal" type="1"><li>
                <t>Compute the shared coordinate <tt>X = X25519(r, V)</tt>, where <tt>r</tt> is the <tt>ecdhSecretKey</tt> and <tt>V</tt> is the <tt>ecdhCipherText</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhKeyShare</tt> to <tt>X</tt></t>
              </li>
            </ol>
          </section>
          <section anchor="x448-kem">
            <name>X448-KEM</name>
            <t>The encapsulation and decapsulation operations of <tt>X448-KEM</tt> are described using the function <tt>X448()</tt> and encodings defined in <xref target="RFC7748"/>.
The <tt>ecdhSecretKey</tt> is denoted as <tt>r</tt>, <tt>r</tt> and the <tt>ecdhPublicKey</tt> as <tt>R</tt>, <tt>R</tt>; they are subject to the equation <tt>R = X448(r, U(P))</tt>.
Here, <tt>U(P)</tt> denotes the u-coordinate of the base point of Curve448.</t>
            <t>The operation <tt>X448-KEM.Encaps()</tt> is defined as follows:</t>
            <ol spacing="normal" type="1"><li>
                <t>Generate an ephemeral key pair {<tt>v</tt>, <tt>V</tt>} via <tt>V = X448(v,U(P))</tt> where <tt>v</tt> is a randomly generated octet string with a length of 56 octets</t>
              </li>
              <li>
                <t>Compute the shared coordinate <tt>X = X448(v, R)</tt> where <tt>R</tt> is the recipient's public key <tt>ecdhPublicKey</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhCipherText</tt> to <tt>V</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhKeyShare</tt> to <tt>X</tt></t>
              </li>
            </ol>
            <t>The operation <tt>X448-KEM.Decaps()</tt> is defined as follows:</t>
            <ol spacing="normal" type="1"><li>
                <t>Compute the shared coordinate <tt>X = X448(r, V)</tt>, where <tt>r</tt> is the <tt>ecdhSecretKey</tt> and <tt>V</tt> is the <tt>ecdhCipherText</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhKeyShare</tt> to <tt>X</tt></t>
              </li>
            </ol>
          </section>
        </section>
        <section anchor="mlkem-ops">
          <name>ML-KEM</name>
          <t>ML-KEM features the following operations:</t>
          <artwork><![CDATA[
(mlkemCipherText, mlkemKeyShare) <- ML-KEM.Encaps(mlkemPublicKey)
]]></artwork> ML-KEM.Encaps(mlkemPublicKey)]]></artwork>
          <t>and</t>
          <artwork><![CDATA[
(mlkemKeyShare) <- ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)
]]></artwork> mlkemSecretKey)]]></artwork>

          <t>The above are the operations <tt>ML-KEM.Encaps</tt> and <tt>ML-KEM.Decaps</tt> defined in <xref target="FIPS-203"/>.
Note that <tt>mlkemPublicKey</tt> is the encapsulation and <tt>mlkemSecretKey</tt> is the decapsulation key.</t>
          <t>ML-KEM has the parametrization parameterization with the corresponding artifact lengths in octets as given in <xref target="tab-mlkem-artifacts"/>.
All artifacts are encoded as defined in <xref target="FIPS-203"/>.</t>
          <table anchor="tab-mlkem-artifacts">
            <name>ML-KEM parameters Parameters and artifact lengths</name> Artifact Lengths</name>
            <thead>
              <tr>
                <th align="left"> </th> align="left"/>
                <th align="left">ML-KEM-768</th>
                <th align="left">ML-KEM-1024</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="left">Algorithm ID reference</td>
                <td align="left">35</td>
                <td align="left">36</td>
              </tr>
              <tr>
                <td align="left">Public (encapsulation) key</td>
                <td align="left">1184 octets</td>
                <td align="left">1568 octets</td>
              </tr>
              <tr>
                <td align="left">Secret (decapsulation) key</td>
                <td align="left">64 octets</td>
                <td align="left">64 octets</td>
              </tr>
              <tr>
                <td align="left">Ciphertext</td>
                <td align="left">1088 octets</td>
                <td align="left">1568 octets</td>
              </tr>
              <tr>
                <td align="left">Key share (shared secret key)</td>
                <td align="left">32 octets</td>
                <td align="left">32 octets</td>
              </tr>
            </tbody>
          </table>
          <t>To instantiate <tt>ML-KEM</tt>, one must select a parameter set from the column "ML-KEM" of <xref target="tab-mlkem-artifacts"/>.</t>
        </section>
      </section>
      <section anchor="ecc-mlkem">
        <name>Composite Encryption Schemes with ML-KEM</name>
        <t><xref target="kem-alg-specs"/> specifies the following ML-KEM + ECDH composite public key encryption schemes:</t>
        <table anchor="tab-mlkem-ecc-composite">
          <name>ML-KEM + ECDH composite schemes</name> Composite Schemes</name>
          <thead>
            <tr>
              <th align="right">Algorithm ID reference</th>
              <th align="left">ML-KEM</th>
              <th align="left">ECDH-KEM</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="right">35</td>
              <td align="left">ML-KEM-768</td>
              <td align="left">X25519-KEM</td>
            </tr>
            <tr>
              <td align="right">36</td>
              <td align="left">ML-KEM-1024</td>
              <td align="left">X448-KEM</td>
            </tr>
          </tbody>
        </table>
        <t>The ML-KEM + ECDH composite public key encryption schemes are built according to the following principal design:</t>
        <ul spacing="normal">
          <li>
            <t>The ML-KEM encapsulation algorithm is invoked to create an ML-KEM ciphertext together with an ML-KEM symmetric key share.</t>
          </li>
          <li>
            <t>The encapsulation algorithm of an ECDH KEM, namely X25519-KEM or X448-KEM, is invoked to create an ECDH ciphertext together with an ECDH symmetric key share.</t>
          </li>
          <li>
            <t>A Key Encryption Key (KEK) is computed as the output of a key combiner that receives as input both of the above created symmetric key shares, the ECDH ciphertext, the ECDH public key, and the protocol binding information.</t>
          </li>
          <li>
            <t>The session key for content encryption, generated as specified in <xref target="RFC9580"/>, is then wrapped as described in <xref target="RFC3394"/> using AES-256 as the algorithm and the KEK as the key.</t>
          </li>
          <li>
            <t>The PKESK packet's algorithm-specific parts are made up of the ML-KEM ciphertext, the ECDH ciphertext, and the wrapped session key.</t>
          </li>
        </ul>
        <section anchor="kem-key-combiner">
          <name>Key Combiner</name>
          <t>For the composite KEM schemes defined in <xref target="kem-alg-specs"/> target="kem-alg-specs"/>, the following procedure <bcp14>MUST</bcp14> be used to compute the KEK that wraps a session key.
The construction is a key derivation function compliant to with the QSF/X-Wing construction in <xref target="BCD_24"/>, the generalization of which is analyzed in <xref target="CHHKM"/>.
It is given by the following algorithm, which computes the key encryption key <tt>KEK</tt> that is used to wrap (that is, encrypt) the session key.</t>
          <artwork><![CDATA[
//   multiKeyCombine(
//       mlkemKeyShare, ecdhKeyShare,
//       ecdhCipherText, ecdhPublicKey,
//       algId
//   )
//
//   Input:
//   mlkemKeyShare   - the ML-KEM key share encoded as an octet string
//   ecdhKeyShare    - the ECDH key share encoded as an octet string
//   ecdhCipherText  - the ECDH ciphertext encoded as an octet string
//   ecdhPublicKey   - the ECDH public key of the recipient as an
//                     octet string
//   algId           - the OpenPGP algorithm ID of the public key
//                     encryption algorithm

KEK = SHA3-256(
          mlkemKeyShare || ecdhKeyShare ||
          ecdhCipherText || ecdhPublicKey ||
          algId || domSep || len(domSep)
      )
return KEK
]]></artwork> KEK]]></artwork>
          <t>The value <tt>domSep</tt> is a constant set to the UTF-8 encoding of the string "OpenPGPCompositeKDFv1", that is:</t>

          <artwork><![CDATA[
domSep = 4F 70 65 6E 50 47 50 43 6F 6D 70 6F 73 69 74 65 4B 44 46 76 31
]]></artwork>
          <t>Here 31]]></artwork>

          <t>Here, <tt>len(domSep)</tt> is the single octet with the value equal to the octet-length of <tt>domSep</tt>, that is, decimal 21.</t>
        </section>
        <section anchor="ecc-mlkem-generation">
          <name>Key Generation Procedure</name>
          <t>The implementation <bcp14>MUST</bcp14> generate the ML-KEM and the ECDH component keys independently.
ML-KEM key generation follows the specification in <xref target="FIPS-203"/>, and the artifacts are encoded as fixed-length octet strings whose sizes are listed in <xref target="mlkem-ops"/>.
ECDH key generation follows the specification in <xref target="RFC7748"/>, and the artifacts are encoded as fixed-length octet strings whose sizes are listed in <xref target="tab-ecdh-cfrg-artifacts"/>.</t>
        </section>
        <section anchor="ecc-mlkem-encryption">
          <name>Encryption Procedure</name>
          <t>The procedure to perform public key encryption with an ML-KEM + ECDH composite scheme is as follows:</t>
          <ol spacing="normal" type="1"><li>
              <t>Take the recipient's authenticated public key packet <tt>pkComposite</tt> and <tt>sessionKey</tt> as input</t>
            </li>
            <li>
              <t>Parse the algorithm ID from <tt>pkComposite</tt> and set it as <tt>algId</tt></t>
            </li>
            <li>
              <t>Extract the <tt>ecdhPublicKey</tt> and <tt>mlkemPublicKey</tt> component components from the algorithm specific algorithm-specific data encoded in <tt>pkComposite</tt> with the format specified in <xref target="mlkem-ecc-key"/>.</t> target="mlkem-ecc-key"/></t>
            </li>
            <li>
              <t>Instantiate the ECDH-KEM and the ML-KEM depending on the algorithm ID according to <xref target="tab-mlkem-ecc-composite"/></t>
            </li>
            <li>
              <t>Compute <tt>(ecdhCipherText, ecdhKeyShare) = ECDH-KEM.Encaps(ecdhPublicKey)</tt></t>
            </li>
            <li>
              <t>Compute <tt>(mlkemCipherText, mlkemKeyShare) = ML-KEM.Encaps(mlkemPublicKey)</tt></t>
            </li>
            <li>
              <t>Compute <tt>KEK = multiKeyCombine(mlkemKeyShare, ecdhKeyShare, ecdhCipherText, ecdhPublicKey, algId)</tt> as defined in <xref target="kem-key-combiner"/></t>
            </li>
            <li>
              <t>Compute <tt>C = AESKeyWrap(KEK, sessionKey)</tt> with AES-256 as per <xref target="RFC3394"/> that includes a 64 bit 64-bit integrity check</t>
            </li>
            <li>
              <t>Output the algorithm specific algorithm-specific part of the PKESK as <tt>ecdhCipherText || mlkemCipherText || len(C, symAlgId) (|| symAlgId) || C</tt>, where both <tt>symAlgId</tt> and <tt>len(C, symAlgId)</tt> are single octet single-octet fields, <tt>symAlgId</tt> denotes the symmetric algorithm ID used and is present only for a v3 PKESK, and <tt>len(C, symAlgId)</tt> denotes the combined octet length of the fields specified as the arguments.</t>
            </li>
          </ol>
        </section>
        <section anchor="decryption-procedure">
          <name>Decryption Procedure</name>
          <t>The procedure to perform public key decryption with an ML-KEM + ECDH composite scheme is as follows:</t>

          <ol spacing="normal" type="1"><li>
              <t>Take the matching PKESK and own secret key packet as input</t>
            </li>
            <li>
              <t>From the PKESK PKESK, extract the algorithm ID as <tt>algId</tt> and the wrapped session key as <tt>encryptedKey</tt></t>
            </li>
            <li>
              <t>Check that the own and the extracted algorithm ID match</t>
            </li>
            <li>
              <t>Parse the <tt>ecdhSecretKey</tt> and <tt>mlkemSecretKey</tt> from the algorithm specific algorithm-specific data of the own secret key encoded in the format specified in <xref target="mlkem-ecc-key"/></t>
            </li>
            <li>
              <t>Instantiate the ECDH-KEM and the ML-KEM depending on the algorithm ID according to <xref target="tab-mlkem-ecc-composite"/></t>
            </li>
            <li>
              <t>Parse <tt>ecdhCipherText</tt>, <tt>mlkemCipherText</tt>, and <tt>C</tt> from <tt>encryptedKey</tt> encoded as <tt>ecdhCipherText || mlkemCipherText || len(C, symAlgId) (|| symAlgId) || C</tt> as specified in <xref target="ecc-mlkem-pkesk"/>, where <tt>symAlgId</tt> is present only in the case of a v3 PKESK.</t> PKESK</t>
            </li>
            <li>
              <t>Compute <tt>(ecdhKeyShare) = ECDH-KEM.Decaps(ecdhCipherText, ecdhSecretKey)</tt></t>
            </li>
            <li>
              <t>Compute <tt>(mlkemKeyShare) = ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)</tt></t>
            </li>
            <li>
              <t>Compute <tt>KEK = multiKeyCombine(mlkemKeyShare, ecdhKeyShare, ecdhCipherText, ecdhPublicKey, algId)</tt> as defined in <xref target="kem-key-combiner"/></t>
            </li>
            <li>
              <t>Compute <tt>sessionKey = AESKeyUnwrap(KEK, C)</tt> with AES-256 as per <xref target="RFC3394"/>, aborting if the 64 bit 64-bit integrity check fails</t>
            </li>
            <li>
              <t>Output <tt>sessionKey</tt></t>
            </li>
          </ol>
        </section>
      </section>
      <section anchor="packet-specifications">
        <name>Packet Specifications</name>
        <section anchor="ecc-mlkem-pkesk">
          <name>Public Key Encrypted Session Key Packets (Packet Type ID 1)</name>
          <t>The algorithm-specific fields consist of the output of the encryption procedure described in <xref target="ecc-mlkem-encryption"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string representing an ECDH ephemeral public key in the format associated with the curve as specified in <xref target="ecc-kem"/>.</t>
            </li>
            <li>
              <t>A fixed-length octet string of the ML-KEM ciphertext, ciphertext whose length depends on the algorithm ID as specified in <xref target="tab-mlkem-artifacts"/>.</t>
            </li>
            <li>
              <t>A one-octet size of the following fields.</t>
            </li>
            <li>
              <t>Only
              <t>(Only in the case of a v3 PKESK packet: packet) a one-octet symmetric algorithm identifier.</t>
            </li>
            <li>
              <t>The wrapped session key represented as an octet string.</t>
            </li>
          </ul>

<!--[rfced] How may we rephrase to avoid the stacked "in the case"?
     Perhaps breaking this sentence up would be helpful?

Original:
Note that like in the case of the algorithms X25519 and X448
specified in [RFC9580], for the ML-KEM composite schemes, in the case
of a v3 PKESK packet, the symmetric algorithm identifier is not
encrypted.
-->

          <t>Note that like in the case of the algorithms X25519 and X448 specified in <xref target="RFC9580"/>, for the ML-KEM composite schemes, in the case of a v3 PKESK packet, the symmetric algorithm identifier is not encrypted.
Instead, it is placed prepended to the wrapped session key in plaintext after the <tt>mlkemCipherText</tt> and before the its length octet preceding is included in the wrapped session key. preceding length field.
In the case of v3 PKESK packets for ML-KEM composite schemes, the symmetric algorithm used <bcp14>MUST</bcp14> be AES-128, AES-192 or AES-256 (algorithm ID IDs 7, 8 8, or 9).</t>
          <t>In the case of a v3 PKESK, a receiving implementation <bcp14>MUST</bcp14> check if the length of the unwrapped symmetric key matches the symmetric algorithm identifier, ID and abort if this is not the case.</t>
          <t>Implementations <bcp14>MUST NOT</bcp14> use the obsolete Symmetrically Encrypted Data packet (Packet Type ID 9) to encrypt data protected with the algorithms described in this document.</t>
        </section>
        <section anchor="mlkem-ecc-key">
          <name>Key Material Packets</name>
          <t>The composite ML-KEM-768 + X25519 (algorithm ID 35) <bcp14>MUST</bcp14> be used only with v4 or v6 keys, as defined in <xref target="RFC9580"/>, or newer versions defined by updates of that document.</t>
          <t>The composite ML-KEM-1024 + X448 (algorithm ID 36) <bcp14>MUST</bcp14> be used only with v6 keys, as defined in <xref target="RFC9580"/>, or newer versions defined by updates of that document.</t>
          <section anchor="public-key-packets-packet-type-ids-6-and-14">
            <name>Public Key Packets (Packet Type IDs 6 and 14)</name>
            <t>The algorithm-specific public key is this series of values:</t>
            <ul spacing="normal">
              <li>
                <t>A fixed-length octet string representing an ECC public key, in the point format associated with the curve specified in <xref target="ecc-kem"/>.</t>
              </li>
              <li>
                <t>A fixed-length octet string containing the ML-KEM public key, key whose length depends on the algorithm ID as specified in <xref target="tab-mlkem-artifacts"/>.</t>
              </li>
            </ul>
          </section>
          <section anchor="secret-key-packets-packet-type-ids-5-and-7">
            <name>Secret Key Packets (Packet Type IDs 5 and 7)</name>
            <t>The algorithm-specific secret key is comprised of these two values:</t>
            <ul spacing="normal">
              <li>
                <t>A fixed-length octet string of the encoded ECDH secret key, key whose encoding and length depend on the algorithm ID as specified in <xref target="ecc-kem"/>.</t>
              </li>
              <li>
                <t>A fixed-length octet string containing the ML-KEM secret key in seed format, format whose length is 64 octets (compare <xref target="tab-mlkem-artifacts"/>).
The seed format is defined in accordance with Section 3.3 of <xref target="FIPS-203"/>.
Namely, the secret key is given by the concatenation of the values of <tt>d</tt> and <tt>z</tt>, generated in steps 1 and 2 of <tt>ML-KEM.KeyGen</tt> <xref target="FIPS-203"/>, each of a length of 32 octets.
Upon parsing the secret key format, or before using the secret key, for the expansion of the key, the function <tt>ML-KEM.KeyGen_internal</tt> <xref target="FIPS-203"/> has to be invoked with the parsed values of <tt>d</tt> and <tt>z</tt> as input.</t>
              </li>
            </ul>
          </section>
        </section>
      </section>
    </section>
    <section anchor="composite-signature-section">
      <name>Composite Signature Schemes</name>
      <section anchor="building-blocks-1">
        <name>Building Blocks</name>
        <section anchor="eddsa-signature">
          <name>EdDSA-Based Signatures</name>
          <t>Throughout this specification EdDSA specification, "EdDSA" refers to the PureEdDSA variant defined in <xref target="RFC8032"/>.
The context is always empty.</t>
          <t>To sign and verify with EdDSA EdDSA, the following operations are defined:</t>
          <artwork><![CDATA[
(eddsaSignature) <- EdDSA.Sign(eddsaSecretKey, dataDigest)
]]></artwork> dataDigest)]]></artwork>
          <t>and</t>
          <artwork><![CDATA[
(verified) <- EdDSA.Verify(eddsaPublicKey, dataDigest, eddsaSignature)
]]></artwork> eddsaSignature)]]></artwork>
          <t>The public and secret key, as well as the signature signature, <bcp14>MUST</bcp14> be encoded according to <xref target="RFC8032"/> as fixed-length octet strings.
The following table describes the EdDSA parameters and artifact lengths:</t>
          <table anchor="tab-eddsa-artifacts">
            <name>EdDSA parameters Parameters and artifact lengths</name> Artifact Lengths</name>
            <thead>
              <tr>
                <th align="left"> </th> align="left"/>
                <th align="left">Ed25519</th>
                <th align="left">Ed448</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="left">Algorithm ID reference</td>
                <td align="left">30</td>
                <td align="left">31</td>
              </tr>
              <tr>
                <td align="left">Public key</td>
                <td align="left">32 octets</td>
                <td align="left">57 octets</td>
              </tr>
              <tr>
                <td align="left">Secret key</td>
                <td align="left">32 octets</td>
                <td align="left">57 octets</td>
              </tr>
              <tr>
                <td align="left">Signature</td>
                <td align="left">64 octets</td>
                <td align="left">114 octets</td>
              </tr>
            </tbody>
          </table>
        </section>
        <section anchor="mldsa-signature">
          <name>ML-DSA Signatures</name>
          <t>Throughout this specification ML-DSA specification, "ML-DSA" refers to the default pure and hedged version of ML-DSA defined in <xref target="FIPS-204"/>.</t>
          <t>ML-DSA signature generation is performed using the default hedged version of the <tt>ML-DSA.Sign</tt> algorithm, as specified in <xref target="FIPS-204"/>, with an empty context string <tt>ctx</tt>.
That is, to sign with ML-DSA ML-DSA, the following operation is defined:</t>
          <artwork><![CDATA[
(mldsaSignature) <- ML-DSA.Sign(mldsaSecretKey, dataDigest)
]]></artwork> dataDigest)]]></artwork>

          <t>ML-DSA signature verification is performed using the <tt>ML-DSA.Verify</tt> algorithm, as specified in <xref target="FIPS-204"/>, with an empty context string <tt>ctx</tt>.
That is, to verify with ML-DSA ML-DSA, the following operation is defined:</t>
          <artwork><![CDATA[
(verified) <- ML-DSA.Verify(mldsaPublicKey, dataDigest, mldsaSignature)
]]></artwork> mldsaSignature)]]></artwork>

          <t>ML-DSA has the parametrization parameterization with the corresponding artifact lengths in octets as given in <xref target="tab-mldsa-artifacts"/>.
All artifacts are encoded as defined in <xref target="FIPS-204"/>.</t>
          <table anchor="tab-mldsa-artifacts">
            <name>ML-DSA parameters Parameters and artifact lengths</name> Artifact Lengths</name>
            <thead>
              <tr>
                <th align="left"> </th> align="left"/>
                <th align="left">ML-DSA-65</th>
                <th align="left">ML-DSA-87</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="left">Algorithm ID reference</td>
                <td align="left">30</td>
                <td align="left">31</td>
              </tr>
              <tr>
                <td align="left">Public key</td>
                <td align="left">1952 octets</td>
                <td align="left">2592 octets</td>
              </tr>
              <tr>
                <td align="left">Secret (Private) key</td>
                <td align="left">32 octets</td>
                <td align="left">32 octets</td>
              </tr>
              <tr>
                <td align="left">Signature</td>
                <td align="left">3309 octets</td>
                <td align="left">4627 octets</td>
              </tr>
            </tbody>
          </table>
        </section>
      </section>
      <section anchor="ecc-mldsa">
        <name>Composite Signature Schemes with ML-DSA</name>
        <section anchor="ecc-mldsa-generation">
          <name>Key Generation Procedure</name>
          <t>The implementation <bcp14>MUST</bcp14> generate the ML-DSA and the EdDSA component keys independently.
ML-DSA key generation follows the specification in <xref target="FIPS-204"/>, and the artifacts are encoded as fixed-length octet strings whose sizes are listed in <xref target="mldsa-signature"/>.
EdDSA key generation follows the specification in <xref target="RFC8032"/>, and the artifacts are encoded as fixed-length octet strings whose sizes are listed in <xref target="eddsa-signature"/>.</t>
        </section>
        <section anchor="signature-generation">
          <name>Signature Generation</name>
          <t>To sign a message <tt>M</tt> with ML-DSA + EdDSA EdDSA, the following sequence of operations has to be performed:</t>
          <ol spacing="normal" type="1"><li>
              <t>Generate <tt>dataDigest</tt> according to <xref section="5.2.4" sectionFormat="of" target="RFC9580"/></t>
            </li>
            <li>
              <t>Create the EdDSA signature over <tt>dataDigest</tt> with <tt>EdDSA.Sign()</tt> from <xref target="eddsa-signature"/></t>
            </li>
            <li>
              <t>Create the ML-DSA signature over <tt>dataDigest</tt> with <tt>ML-DSA.Sign()</tt> from <xref target="mldsa-signature"/></t>
            </li>
            <li>
              <t>Encode the EdDSA and ML-DSA signatures according to the packet structure given in <xref target="ecc-mldsa-sig-packet"/></t>
            </li>
          </ol>
        </section>
        <section anchor="signature-verification">
          <name>Signature Verification</name>
          <t>To verify an ML-DSA + EdDSA signature signature, the following sequence of operations has to be performed:</t>
          <ol spacing="normal" type="1"><li>
              <t>Verify the EdDSA signature with <tt>EdDSA.Verify()</tt> from <xref target="eddsa-signature"/></t>
            </li>
            <li>
              <t>Verify the ML-DSA signature with <tt>ML-DSA.Verify()</tt> from <xref target="mldsa-signature"/></t>
            </li>
          </ol>
          <t>As specified in <xref target="composite-signature-section"/> target="composite-signature-section"/>, an implementation <bcp14>MUST</bcp14> validate both signatures, that is, EdDSA and ML-DSA, successfully to state that a composite ML-DSA + EdDSA signature is valid.</t>
        </section>
      </section>
      <section anchor="packet-specifications-1">
        <name>Packet Specifications</name>
        <section anchor="ecc-mldsa-sig-packet">
          <name>Signature Packet (Packet Type ID 2)</name>
          <t>The composite ML-DSA + EdDSA schemes <bcp14>MUST</bcp14> be used only with v6 signatures, as defined in <xref target="RFC9580"/>, or newer versions defined by updates of that document.</t>
          <t>The algorithm-specific v6 signature parameters for ML-DSA + EdDSA signatures consist of:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string representing the EdDSA signature, signature whose length depends on the algorithm ID as specified in <xref target="tab-eddsa-artifacts"/>.</t>
            </li>
            <li>
              <t>A fixed-length octet string of the ML-DSA signature value, value whose length depends on the algorithm ID as specified in <xref target="tab-mldsa-artifacts"/>.</t>
            </li>
          </ul>
          <t>A composite ML-DSA + EdDSA signature <bcp14>MUST</bcp14> use a hash algorithm with a digest size of at least 256 bits for the computation of the message digest.
A verifying implementation <bcp14>MUST</bcp14> reject any composite ML-DSA + EdDSA signature that uses a hash algorithm with a smaller digest size.</t>
        </section>
        <section anchor="key-material-packets">
          <name>Key Material Packets</name>
          <t>The composite ML-DSA + EdDSA schemes <bcp14>MUST</bcp14> be used only with v6 keys, as defined in <xref target="RFC9580"/>, or newer versions defined by updates of that document.</t>
          <section anchor="public-key-packets-packet-type-ids-6-and-14-1">
            <name>Public Key Packets (Packet Type IDs 6 and 14)</name>
            <t>The algorithm-specific public key for ML-DSA + EdDSA keys is this series of values:</t>
            <ul spacing="normal">
              <li>
                <t>A fixed-length octet string representing the EdDSA public key, key whose length depends on the algorithm ID as specified in <xref target="tab-eddsa-artifacts"/>.</t>
              </li>
              <li>
                <t>A fixed-length octet string containing the ML-DSA public key, key whose length depends on the algorithm ID as specified in <xref target="tab-mldsa-artifacts"/>.</t>
              </li>
            </ul>
          </section>
          <section anchor="secret-key-packets-packet-type-ids-5-and-7-1">
            <name>Secret Key Packets (Packet Type IDs 5 and 7)</name>
            <t>The algorithm-specific secret key for ML-DSA + EdDSA keys is this series of values:</t>
            <ul spacing="normal">
              <li>
                <t>A fixed-length octet string representing the EdDSA secret key, key whose length depends on the algorithm ID as specified in <xref target="tab-eddsa-artifacts"/>.</t>
              </li>
              <li>
                <t>A fixed-length octet string containing the ML-DSA secret key in seed format, format whose length is 32 octets (compare <xref target="tab-mldsa-artifacts"/>).
The seed format is defined in accordance with Section 3.6.3 of <xref target="FIPS-204"/>.
Namely, the secret key is given by the value <tt>xi</tt> generated in step 1 of <tt>ML-DSA.KeyGen</tt> <xref target="FIPS-204"/>.
Upon parsing the secret key format, or before using the secret key, for the expansion of the key, the function <tt>ML-DSA.KeyGen_internal</tt> <xref target="FIPS-204"/> has to be invoked with the parsed value of <tt>xi</tt> as input.</t>
              </li>
            </ul>
          </section>
        </section>
      </section>
    </section>
    <section anchor="slhdsa-section">
      <name>SLH-DSA</name>
      <t>Throughout this specification SLH-DSA specification, "SLH-DSA" refers to the default pure and hedged version of SLH-DSA defined in <xref target="FIPS-205"/>.</t>
      <section anchor="slhdsa">
        <name>The SLH-DSA Algorithms</name>
        <t>The following table lists the group of algorithm code points for the SLH-DSA signature scheme and the corresponding artifact lengths.
This group of algorithms is henceforth referred to as "SLH-DSA code points".</t>
        <table anchor="slhdsa-artifact-lengths">
          <name>SLH-DSA code points Code Points and the corresponding artifact lengths.</name> Corresponding Artifact Lengths</name>
          <thead>
            <tr>
              <th align="left"> </th> align="left"/>
              <th align="left">SLH-DSA-SHAKE-128s</th>
              <th align="left">SLH-DSA-SHAKE-128f</th>
              <th align="left">SLH-DSA-SHAKE-256s</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">Algorithm ID reference</td>
              <td align="left">32</td>
              <td align="left">33</td>
              <td align="left">34</td>
            </tr>
            <tr>
              <td align="left">Public key (PK)</td>
              <td align="left">32 octets</td>
              <td align="left">32 octets</td>
              <td align="left">64 octets</td>
            </tr>
            <tr>
              <td align="left">Secret key (SK)</td>
              <td align="left">64 octets</td>
              <td align="left">64 octets</td>
              <td align="left">128 octets</td>
            </tr>
            <tr>
              <td align="left">Signature</td>
              <td align="left">7856 octets</td>
              <td align="left">17088 octets</td>
              <td align="left">29792 octets</td>
            </tr>
          </tbody>
        </table>
        <section anchor="key-generation">
          <name>Key Generation</name>
          <t>SLH-DSA key generation is performed via the algorithm <tt>slh_keygen</tt> as specified in <xref target="FIPS-205"/>, and the artifacts are encoded as fixed-length octet strings whose sizes are listed in <xref target="slhdsa"/>.</t>
        </section>
        <section anchor="signature-generation-1">
          <name>Signature Generation</name>
          <t>SLH-DSA signature generation is performed using the default hedged version of the <tt>slh_sign</tt> algorithm, as specified in <xref target="FIPS-205"/>, with an empty context string <tt>ctx</tt>.</t>
        </section>
        <section anchor="signature-verification-1">
          <name>Signature Verification</name>
          <t>SLH-DSA signature verification is performed using the <tt>slh_verify</tt> algorithm, as specified in <xref target="FIPS-205"/>, with an empty context string <tt>ctx</tt>.</t>
        </section>
      </section>
      <section anchor="packet-specifications-2">
        <name>Packet Specifications</name>
        <section anchor="signature-packet-packet-type-id-2">
          <name>Signature Packet (Packet Type ID 2)</name>
          <t>The SLH-DSA algorithms <bcp14>MUST</bcp14> be used only with v6 signatures, as defined in <xref section="5.2.3" sectionFormat="of" target="RFC9580"/>.</t>
          <t>The algorithm-specific part of a signature packet for an SLH-DSA code point consists of:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string of the SLH-DSA signature value, value whose length depends on the algorithm ID in the format specified in <xref target="slhdsa-artifact-lengths"/>.</t>
            </li>
          </ul>
          <t>An SLH-DSA signature <bcp14>MUST</bcp14> use a hash algorithm with a digest size of at least 256 bits for the computation of the message digest.
A verifying implementation <bcp14>MUST</bcp14> reject any SLH-DSA signature that uses a hash algorithm with a smaller digest size.</t>
        </section>
        <section anchor="key-material-packets-1">
          <name>Key Material Packets</name>
          <t>The SLH-DSA code points <bcp14>MUST</bcp14> be used only with v6 keys, as defined in <xref target="RFC9580"/>, or newer versions defined by updates of that document.</t>
          <section anchor="public-key-packets-packet-type-ids-6-and-14-2">
            <name>Public Key Packets (Packet Type IDs 6 and 14)</name>
            <t>The algorithm-specific part of the public key consists of:</t>
            <ul spacing="normal">
              <li>
                <t>A fixed-length octet string containing the SLH-DSA public key, key whose length depends on the algorithm ID as specified in <xref target="slhdsa-artifact-lengths"/>.</t>
              </li>
            </ul>
          </section>
          <section anchor="secret-key-packets-packet-type-ids-5-and-7-2">
            <name>Secret Key Packets (Packet Type IDs 5 and 7)</name>
            <t>The algorithm-specific part of the secret key consists of:</t>
            <ul spacing="normal">
              <li>
                <t>A fixed-length octet string containing the SLH-DSA secret key, key whose length depends on the algorithm ID as specified in <xref target="slhdsa-artifact-lengths"/>.</t>
              </li>
            </ul>
          </section>
        </section>
      </section>
    </section>
    <section anchor="notes-on-algorithms">
      <name>Notes on Algorithms</name>
      <section anchor="symmetric-algorithms-for-seipd-packets">
        <name>Symmetric Algorithms for SEIPD Packets</name>
        <t>Implementations <bcp14>MUST</bcp14> implement <tt>AES-256</tt>.
An implementation <bcp14>SHOULD</bcp14> use <tt>AES-256</tt> in the case of a v1 Symmetrically Encrypted and Integrity Protected Data (SEIPD) packet, packet or <tt>AES-256</tt> with any available AEAD Authenticated Encryption with Associated Data (AEAD) mode in the case of a v2 SEIPD packet, if all recipient certificates indicate support for it (explicitly or implicitly).
This requirement is not specified as a <bcp14>MUST</bcp14>, <bcp14>MUST</bcp14> because it would render messages not using AES-256 invalid and subject to rejection upon decryption; however, a receiving implementation may not have access to all recipient certificates and therefore and, therefore, cannot reliably enforce such a requirement.</t>
        <t>A certificate that contains a PQ(/T) key <bcp14>SHOULD</bcp14> include <tt>AES-256</tt> in the "Preferred Symmetric Ciphers for v1 SEIPD" subpacket and <bcp14>SHOULD</bcp14> include the pair <tt>AES-256</tt> with <tt>OCB</tt> in the "Preferred AEAD Ciphersuites" subpacket to make support for <tt>AES-256</tt> and <tt>AES-256</tt> with <tt>OCB</tt> explicit.</t>
        <t>If <tt>AES-256</tt> is not explicitly in the list of the "Preferred Symmetric Ciphers for v1 SEIPD" subpacket, and if the certificate contains a PQ(/T) key, it is implicitly at the end of the list.
This is justified since <tt>AES-256</tt> is mandatory to implement.
If <tt>AES-128</tt> is also implicitly added to the list, it is added after <tt>AES-256</tt>.</t>
        <t>If the pair of <tt>AES-256</tt> with and <tt>OCB</tt> is not explicitly in the list of the "Preferred AEAD Ciphersuites" subpacket, and if the certificate contains a PQ(/T) key, it is implicitly at the end of the list.
This is justified since <tt>AES-256</tt> and <tt>OCB</tt> are mandatory to implement.
If the pair of <tt>AES-128</tt> with and <tt>OCB</tt> is also implicitly added to the list, it is added after the pair of <tt>AES-256</tt> with and <tt>OCB</tt>.</t>
      </section>
      <section anchor="hash-algorithms-for-key-binding-signatures">
        <name>Hash Algorithms for Key Binding Signatures</name>
        <t>Subkey binding signatures (Signature Type 0x18) over algorithms described in this document <bcp14>MUST NOT</bcp14> be made with <tt>MD5</tt>, <tt>SHA-1</tt>, or <tt>RIPEMD-160</tt>.
A receiving implementation <bcp14>MUST</bcp14> treat such a signature as invalid.</t>
      </section>
    </section>
    <section anchor="migration-considerations">
      <name>Migration Considerations</name>
      <t>The post-quantum KEM algorithms defined in <xref target="kem-alg-specs"/> and the signature algorithms defined in <xref target="sig-alg-specs"/> are a set of new public key algorithms that extend the algorithm selection of <xref target="RFC9580"/>.
During the transition period, the post-quantum algorithms will not be supported by all clients.
Therefore, various migration considerations must be taken into account, in particular account particularly backwards compatibility to existing implementations that have not yet been updated to support the post-quantum algorithms.</t>
      <section anchor="encrypting-to-traditional-and-pqt-keys">
        <name>Encrypting to Traditional and PQ(/T) Keys</name>
        <t>During the transition to post-quantum cryptography, an implementation <bcp14>MAY</bcp14>, by default, encrypt messages to both PQ(/T) and traditional keys to avoid disruption to communications, optionally displaying a warning.
As noted in <xref target="composite-kem"/>, the confidentiality of a message is not post-quantum secure when using multiple PKESKs unless all of them use PQ(/T) encryption schemes.</t>
      </section>
      <section anchor="signing-with-traditional-and-pqt-keys">
        <name>Signing with Traditional and PQ(/T) Keys</name>
        <t>The OpenPGP specification <xref target="RFC9580"/> allows signing a message with multiple signatures.
This implies the possibility to sign of signing with both a PQ(/T) and a traditional key as described in <xref target="multiple-signatures"/>.
Note that signing only with only PQ(/T) key material is not backwards compatible.</t>
      </section>
      <section anchor="verifying-with-traditional-and-pqt-keys">
        <name>Verifying with Traditional and PQ(/T) Keys</name>
        <t>When verifying, an implementation <bcp14>MAY</bcp14> be willing to accept signatures both from PQ(/T) keys and from traditional keys.
A verifier concerned with a cryptographically relevant quantum computer with knowledge of a peer that has a PQ(/T) signing key <bcp14>MAY</bcp14> prefer instead prefer to ignore all traditional signatures from that peer.</t>
      </section>
      <section anchor="pq-key-generation">
        <name>Generating PQ(/T) Keys</name>
        <t>It is <bcp14>RECOMMENDED</bcp14> to generate fresh secrets when generating PQ(/T) keys.
Note that reusing key material from existing ECC keys in PQ(/T) keys does not provide backwards compatibility.</t>
      </section>
    </section>
    <section anchor="security-considerations">
      <name>Security Considerations</name>
      <section anchor="security-aspects-of-composite-signatures">
        <name>Security Aspects of Composite Signatures</name>
        <t>When multiple signatures are applied to a message, the question of the protocol's resistance against signature stripping signature-stripping attacks naturally arises.
In a signature stripping signature-stripping attack, an adversary removes one or more of the signatures such that only a subset of the signatures remain in the message at the point when it is verified.
This amounts to a downgrade attack that potentially reduces the value of the signature.
It should be noted that the composite signature schemes specified in this draft document are not subject to a signature stripping signature-stripping vulnerability.
This is due to the fact that that, in any OpenPGP signature, the hashed metadata includes the signature algorithm ID, as specified in <xref section="5.2.4" sectionFormat="of" target="RFC9580"/>.
As a consequence, a component signature taken out of the context of a specific composite algorithm is not a valid OpenPGP signature for any message.</t>
        <t>An attacker cannot generate a fresh valid signature for a message that has already been signed twice with the composite algorithm; being able to do so would violate Strong Unforgeability under Chosen Message Attack (SUF-CMA). Specifically, an attacker might try to construct a new signature by remixing the component parts of two legitimate composite signatures. That is impossible because each v6 signature embeds a random salt at the start of its hashed metadata. The two legitimate signatures use different salts, so their components are not interchangeable and cannot be recombined into a valid signature.</t>
        <section anchor="preventing-signature-cross-protocol-attacks">
          <name>Preventing Signature Cross-Protocol Attacks</name>
          <t>Signature cross-protocol attacks exploit the reuse of signatures across different protocols or contexts, allowing attackers to maliciously repurpose valid signatures in unintended ways.
ML-DSA <xref target="FIPS-204"/>, SLH-DSA <xref target="FIPS-205"/>, and EdDSA <xref target="RFC8032"/> support an optional context string parameter ctx that can be incorporated into the algorithm's internal message preprocessing step before signing and verification.
This
In principle, this context parameter can in principle contribute to the prevention of cross-protocol attacks.
Nevertheless, this specification defines all these algorithms to use an empty context string string, which is in accordance with the previous use of EdDSA in OpenPGP, OpenPGP and maximizes interoperability with cryptographic libraries.
In order to reliably prevent cross-protocol attacks, this specification recommends avoiding key-reuse across protocols in <xref target="pq-key-generation"/>.</t>
        </section>
      </section>
      <section anchor="sec-key-combiner">
        <name>Key Combiner</name>
        <t>A central security notion of a key combiner is IND-CCA2-security. It is argued in <xref target="BCD_24"/> that the key combiner specified in <xref target="kem-key-combiner"/> is IND-CCA2-secure if ML-KEM is IND-CCA2-secure or the Strong Diffie-Hellman problem in a nominal group holds. Note that Curve25519 and Curve448 qualify as such nominal groups <xref target="ABH_21"/>.</t>
        <t>Note that the inclusion of the ECC public key in the key combiner also accounts for multi-target attacks against X25519 and X448.</t>
        <section anchor="sec-fixed-info">
          <name>Domain Separation and Context Binding</name>
          <t>The <tt>domSep</tt> information defined in <xref target="kem-key-combiner"/> provides the domain separation for the key combiner key-combiner construction.
This ensures that the input keying material is used to generate a KEK for a specific purpose.
Appending the length octet ensures that no collisions can result across different domains, which might be defined in the future.
This is because <tt>domSep || len(domSep)</tt> is guaranteed to result in a suffix-free set of octet strings even if further values should be defined for <tt>domSep</tt>.
The term "suffix-free" applied to a set of words indicates that no word is the suffix of another.
Thus, this property ensures unambiguous parsing of a word from the rear of a string.
Unambiguous parseability, parsability, in turn, ensures that no collisions can happen on the space of input strings to the key combiner.</t>
          <t>The algorithm ID, passed as the <tt>algID</tt> parameter to <tt>multiKeyCombine</tt>, binds the derived KEK to the chosen algorithm.
The algorithm ID identifies unequivocally identifies the algorithm, the parameters for its instantiation, and the length of all artifacts, including the derived key.</t>
        </section>
      </section>
      <section anchor="hedged-sec-cons">
        <name>ML-DSA and SLH-DSA Hedged Variants</name>
        <t>This specification makes use of the default "hedged" variants of ML-DSA and SLH-DSA, which mix fresh randomness into the respective signature-generation algorithm's internal hashing step.
This has the advantage of an enhanced side-channel resistance of the signature operations according to <xref target="FIPS-204"/> and <xref target="FIPS-205"/>.</t>
      </section>
      <section anchor="minimum-digest-size-for-pqt-signatures">
        <name>Minimum Digest Size for PQ(/T) Signatures</name>
        <t>This specification requires that all PQ(/T) signatures defined in this document are made on message digests computed with a hash algorithm with at least 256 bits of digest size.
Since all signature algorithms defined in this document require version 6 (or newer) signature packets, which currently include a leading random salt value in the hashed data, the required property is not collision but (2nd) (second) preimage resistance.
Therefore, a hash algorithm with a digest size of at least 256 bits is sufficient to match the targeted security levels of all PQ(/T) algorithms defined in this document.</t>
      </section>
      <section anchor="symmetric-algorithms-for-seipd-packets-1">
        <name>Symmetric Algorithms for SEIPD Packets</name>
        <t>This specification mandates support for <tt>AES-256</tt> for two reasons.
First, <tt>AES-KeyWrap</tt> with <tt>AES-256</tt> is already part of the composite KEM construction.
Second, some of the PQ(/T) algorithms target the security level of <tt>AES-256</tt>.</t>
        <t>For the same reasons, this specification further recommends the use of <tt>AES-256</tt> if it is supported by all recipient certificates, regardless of what the implementation would otherwise choose based on the recipients' preferences.
This recommendation should be understood as a clear and simple rule for the selection of <tt>AES-256</tt> for encryption.
Implementations may also make more nuanced decisions.</t>
      </section>
      <section anchor="key-generation-1">
        <name>Key Generation</name>
        <t>When generating keys, this specification requires component keys to be generated independently, independently and recommends not to reuse reusing existing keys for any of the components.
Note that reusing a key across different protocols may lead to signature confusion vulnerabilities, vulnerabilities that formally classify as signature forgeries.
Generally, reusing a key for different purposes may lead to subtle vulnerabilities.</t>
      </section>
      <section anchor="random-number-generation-and-seeding">
        <name>Random Number Generation and Seeding</name>
        <t>As mandated by <xref section="13.10" sectionFormat="of" target="RFC9580"/>, all random data must be generated using a cryptographically secure pseudorandom number generator Cryptographically Secure Pseudorandom Number Generator (CSPRNG).</t>
      </section>
    </section>
    <section anchor="additional-considerations">
      <name>Additional Considerations</name>
      <section anchor="performance-considerations">
        <name>Performance Considerations for SLH-DSA</name>
        <t>This specification introduces both ML-DSA + EdDSA as well as and SLH-DSA as PQ(/T) signature schemes.</t>
        <t>Generally, it can be said that ML-DSA + EdDSA provides a performance in terms of execution time requirements that is close to that of traditional ECC signature schemes.
Regarding the size of signatures and public keys, though, ML-DSA has far greater requirements than traditional schemes like ECC-based or even RSA signature schemes.</t>
        <t>Implementers may want to offer SLH-DSA for applications where the weaker security assumptions of a hash-based signature scheme are required - -- namely only the 2nd second preimage resistance of a hash function - and thus function; thus, a potentially higher degree of trust in the long-term security of signatures is achieved.
However, SLH-DSA has performance characteristics in terms of execution time of the signature generation as well as space requirements for the signature that are even greater than those of ML-DSA + EdDSA signature schemes.</t>
        <t>Pertaining to the execution time, the particularly costly operation in SLH-DSA is the signature generation.
Depending on the parameter set, it can range from approximately one hundred to more than two thousand times that of ML-DSA-87.
These numbers are based on the performance measurements published in the NIST submissions for SLH-DSA and ML-DSA.
In order to achieve fast signature generation times, the algorithm SLH-DSA-SHAKE-128f ("f" standing for "fast") should be chosen.
This comes at the expense of a larger signature size.
This choice can be relevant in applications where mass signing occurs or a small latency is required.</t>
        <t>In order to minimize the space requirements of an SLH-DSA signature, an algorithm ID with the name ending in "s" for "small" should be chosen.
This comes at the expense of a longer signature generation time.
In particular, SLH-DSA-SHAKE-128s achieves the smallest possible signature size, which is about the double size of an ML-DSA-87 signature.
Where a higher security level than 128 bit bits is needed, SLH-DSA-SHAKE-256s can be used.</t>
        <t>Unlike the signature generation time, the signature verification time of SLH-DSA is not that much larger than that of other PQC schemes.
Based on the performance measurements published in the NIST submissions for SLH-DSA and ML-DSA, the verification time of SLH-DSA is, for the parameters covered by this specification, larger than that of ML-DSA-87 by a factor ranging from four (for -128s) over nine (for -256s) to twelve (for -128f).</t>
      </section>
    </section>
    <section anchor="iana-considerations">
      <name>IANA Considerations</name>
      <t>IANA is requested to add has added the algorithm IDs defined in <xref target="iana-pubkey-algos"/> to the existing registry <tt>OpenPGP "OpenPGP Public Key Algorithms</tt> maintained Algorithms" registry at <xref target="IANA-OPENPGP"/>.</t>
      <table anchor="iana-pubkey-algos">
        <name>IANA

<!--[rfced] We had the following questions related to the table in the
     IANA Considerations section:

a) The table of IANA values is very difficult to read and, now that
some edits have been made to the text, exceed our 72-character line
length limit.

We suggest updating to a definitions list for readability.  This
update would appear as seen here:

[insert file link]

b) We see links to specific tables in the various "Format" columns.
Please review as ID 30 (for example) mentions Tables 6 and 7 (which
are in Sections 5.1.1 and 5.1.2, respectively), while the Reference
column is pointing to Section 5.2.  If this is not as expected, please
review each entry and let us know if/how to update.

c) Please note that we will communicate any updates we've made to the
text in the IANA table to IANA for registry 'OpenPGP corresponding updates at
https://www.iana.org/assignments/openpgp/openpgp.xhtml#openpgp-public-key-algorithms
once AUTH48 completes (and the text is stable).

-->

      <table anchor="iana-pubkey-algos">
        <name>Updates to the "OpenPGP Public Key Algorithms'</name> Algorithms" Registry</name>
        <thead>
          <tr>
            <th align="left">ID</th>
            <th align="left">Algorithm</th>
            <th align="right">Public Key Format</th>
            <th align="right">Secret Key Format</th>
            <th align="right">Signature Format</th>
            <th align="right">PKESK Format</th>
            <th align="right">Reference</th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td align="left">TBD(30)</td> align="left">30</td>
            <td align="left">ML-DSA-65+Ed25519</td>
            <td align="right">32 octets align="right">32-octet Ed25519 public key (<xref target="tab-eddsa-artifacts"/>), 1952 octets 1952-octet ML-DSA-65 public key (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">32 octets align="right">32-octet Ed25519 secret key (<xref target="tab-eddsa-artifacts"/>), 32 octets 32-octet ML-DSA-65 secret key (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">64 octets align="right">64-octet Ed25519 signature (<xref target="tab-eddsa-artifacts"/>), 3309 octets 3309-octet ML-DSA-65 signature (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">N/A</td>
            <td align="right">
              <xref target="ecc-mldsa"/> of RFC TBD</td> 9980</td>
          </tr>
          <tr>
            <td align="left">TBD(31)</td> align="left">31</td>
            <td align="left">ML-DSA-87+Ed448</td>
            <td align="right">57 octets align="right">57-octet Ed448 public key (<xref target="tab-eddsa-artifacts"/>),  2592 octets  2592-octet ML-DSA-87 public key (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">57 octets align="right">57-octet Ed448 secret key (<xref target="tab-eddsa-artifacts"/>), 32 octets 32-octet ML-DSA-87 secret key (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">114 octets align="right">114-octet Ed448 signature (<xref target="tab-eddsa-artifacts"/>), 4627 octets 4627-octet ML-DSA-87 signature (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">N/A</td>
            <td align="right">
              <xref target="ecc-mldsa"/> of RFC TBD</td> 9980</td>
          </tr>
          <tr>
            <td align="left">TBD(32)</td> align="left">32</td>
            <td align="left">SLH-DSA-SHAKE-128s</td>
            <td align="right">32 octets align="right">32-octet public key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">64 octets align="right">64-octet secret key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">7856 octets align="right">7856-octet signature (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">N/A</td>
            <td align="right">
              <xref target="slhdsa"/> of RFC TBD</td> 9980</td>
          </tr>
          <tr>
            <td align="left">TBD(33)</td> align="left">33</td>
            <td align="left">SLH-DSA-SHAKE-128f</td>
            <td align="right">32 octets align="right">32-octet public key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">64 octets align="right">64-octet secret key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">17088 octets align="right">17088-octet signature (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">N/A</td>
            <td align="right">
              <xref target="slhdsa"/> of RFC TBD</td> 9980</td>
          </tr>
          <tr>
            <td align="left">TBD(34)</td> align="left">34</td>
            <td align="left">SLH-DSA-SHAKE-256s</td>
            <td align="right">64 octets align="right">64-octet public key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">128 octets align="right">128-octet secret key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">29792 octets align="right">29792-octet signature (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">N/A</td>
            <td align="right">
              <xref target="slhdsa"/> of RFC TBD</td> 9980</td>
          </tr>
          <tr>
            <td align="left">TBD(35)</td> align="left">35</td>
            <td align="left">ML-KEM-768+X25519</td>
            <td align="right">32 octets align="right">32-octet X25519 public key (<xref target="tab-ecdh-cfrg-artifacts"/>), 1184 octets 1184-octet ML-KEM-768 public key (<xref target="tab-mlkem-artifacts"/>)</td>
            <td align="right">32 octets align="right">32-octet X25519 secret key (<xref target="tab-ecdh-cfrg-artifacts"/>), 64 octets 64-octet ML-KEM-768 secret-key secret key (<xref target="tab-mlkem-artifacts"/>)</td>
            <td align="right">N/A</td>
            <td align="right">32 octets align="right">32-octet X25519 ciphertext, 1088 octets 1088-octet ML-KEM-768 ciphertext, 1 octet remaining length, [1 octet algorithm ID in case of v3 PKESK,] <tt>n</tt> octets wrapped session key (<xref target="ecc-mlkem-pkesk"/>)</td>
            <td align="right">
              <xref target="ecc-mlkem"/> of RFC TBD</td> 9980</td>
          </tr>
          <tr>
            <td align="left">TBD(36)</td> align="left">36</td>
            <td align="left">ML-KEM-1024+X448</td>
            <td align="right">56 octets align="right">56-octet X448 public key (<xref target="tab-ecdh-cfrg-artifacts"/>), 1568  octets 1568-octet ML-KEM-1024 public key (<xref target="tab-mlkem-artifacts"/>)</td>
            <td align="right">56 octets align="right">56-octet X448 secret key (<xref target="tab-ecdh-cfrg-artifacts"/>), 64 octets 64-octet ML-KEM-1024 secret-key secret key (<xref target="tab-mlkem-artifacts"/>)</td>
            <td align="right">N/A</td>
            <td align="right">56 octets align="right">56-octet X448 ciphertext, 1568 octets 1568-octet ML-KEM-1024 ciphertext, 1 octet remaining length, [1 octet algorithm ID in case of v3 PKESK,] <tt>n</tt> octets wrapped session key (<xref target="ecc-mlkem-pkesk"/>)</td>
            <td align="right">
              <xref target="ecc-mlkem"/> of RFC TBD</td> 9980</td>
          </tr>
        </tbody>
	</table>

      <t>IANA is asked to add has added the following note to this registry:</t>
      <ul empty="true">
        <li>
          <t>The
      <t indent="3">The field specifications enclosed in square brackets for
      PKESK Format represent fields that may or may not be present, depending
      on the PKESK version.</t>
        </li>
      </ul>
    </section>
    <section anchor="changelog">
      <name>Changelog</name>
      <section anchor="draft-wussler-openpgp-pqc-01">
        <name>draft-wussler-openpgp-pqc-01</name>
        <ul spacing="normal">
          <li>
            <t>Shifted the algorithm IDs by 4 to align with the crypto-refresh.</t>
          </li>
          <li>
            <t>Renamed v5 packets into v6 to align with the crypto-refresh.</t>
          </li>
          <li>
            <t>Defined IND-CCA2 security for KDF and key combination.</t>
          </li>
          <li>
            <t>Added explicit key generation procedures.</t>
          </li>
          <li>
            <t>Changed the key combination KMAC salt.</t>
          </li>
          <li>
            <t>Mandated Parameter ID check in SPHINCS+ signature verification.</t>
          </li>
          <li>
            <t>Fixed key share size for Kyber-768.</t>
          </li>
          <li>
            <t>Added "Preliminaries" section.</t>
          </li>
          <li>
            <t>Fixed IANA considerations.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-wussler-openpgp-pqc-02">
        <name>draft-wussler-openpgp-pqc-02</name>
        <ul spacing="normal">
          <li>
            <t>Added the ephemeral and public key in the ECC key derivation function.</t>
          </li>
          <li>
            <t>Removed public key hash from key combiner.</t>
          </li>
          <li>
            <t>Allowed v3 PKESKs and v4 keys with PQ algorithms, limiting them to AES
symmetric ciphers.
for encryption with SEIPDv1, in line with the crypto-refresh.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-wussler-openpgp-pqc-03">
        <name>draft-wussler-openpgp-pqc-03</name>
        <ul spacing="normal">
          <li>
            <t>Replaced round 3 submission with NIST PQC Draft Standards FIPS 203, 204, 205.</t>
          </li>
          <li>
            <t>Added consideration about security level for hashes.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-wussler-openpgp-pqc-04">
        <name>draft-wussler-openpgp-pqc-04</name>
        <ul spacing="normal">
          <li>
            <t>Added Johannes Roth as author</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-00">
        <name>draft-ietf-openpgp-pqc-00</name>
        <ul spacing="normal">
          <li>
            <t>Renamed draft</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-01">
        <name>draft-ietf-openpgp-pqc-01</name>
        <ul spacing="normal">
          <li>
            <t>Mandated <tt>AES-256</tt> as mandatory to implement.</t>
          </li>
          <li>
            <t>Added <tt>AES-256</tt> / <tt>AES-128</tt> with <tt>OCB</tt> implicitly to v1/v2 SEIPD preferences of "PQ(/T) certificates".</t>
          </li>
          <li>
            <t>Added a recommendation to use <tt>AES-256</tt> when possible.</t>
          </li>
          <li>
            <t>Swapped the optional v3 PKESK algorithm identifier with length octet in order to align with X25519 and X448.</t>
          </li>
          <li>
            <t>Fixed ML-DSA secret key size.</t>
          </li>
          <li>
            <t>Added test vectors.</t>
          </li>
          <li>
            <t>Correction and completion of IANA instructions.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-02">
        <name>draft-ietf-openpgp-pqc-02</name>
        <ul spacing="normal">
          <li>
            <t>Removed git rebase artifact.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-03">
        <name>draft-ietf-openpgp-pqc-03</name>
        <ul spacing="normal">
          <li>
            <t>Updated SLH-DSA by removing parametrization and restricting to three SLH-DSA-SHAKE algorithm code points.</t>
          </li>
          <li>
            <t>Removed NIST and Brainpool curve hybrids, dropped ECDSA from the current specification.</t>
          </li>
          <li>
            <t>Updated KDF as proposed at IETF 119.</t>
          </li>
          <li>
            <t>Removed whitespaces from composite algorithm names.</t>
          </li>
          <li>
            <t>Explicitly disallowed SED (Packet Type ID 9) and weak hashes when using PQ algorithms.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-04">
        <name>draft-ietf-openpgp-pqc-04</name>
        <ul spacing="normal">
          <li>
            <t>Fixed ML-DSA signature size.</t>
          </li>
          <li>
            <t>Fixed parameters order in PKESK description.</t>
          </li>
          <li>
            <t>Fixed missing inputs into KEM combination description.</t>
          </li>
          <li>
            <t>Improved parallel encryption guidance.</t>
          </li>
          <li>
            <t>Improved SED deprecation description.</t>
          </li>
          <li>
            <t>Added ML-DSA test vectors.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-05">
        <name>draft-ietf-openpgp-pqc-05</name>
        <ul spacing="normal">
          <li>
            <t>Reworked KEM combiner for the purpose of NIST-compliance.</t>
          </li>
          <li>
            <t>Mandated v6 keys for ML-KEM + ECDH algorithms.</t>
          </li>
          <li>
            <t>Defined secret key seed format for ML-KEM and ML-DSA.</t>
          </li>
          <li>
            <t>Added key generation security considerations.</t>
          </li>
          <li>
            <t>Replaced initial public drafts with FIPS 203, 204, 205.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-06">
        <name>draft-ietf-openpgp-pqc-06</name>
        <ul spacing="normal">
          <li>
            <t>Fixed and improved test vectors.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-07">
        <name>draft-ietf-openpgp-pqc-07</name>
        <ul spacing="normal">
          <li>
            <t>Assigned code points 30 - 34 for ML-DSA + EdDSA and SLH-DSA algorithms.</t>
          </li>
          <li>
            <t>Aligned KEM combiner with LAMPS.</t>
          </li>
          <li>
            <t>Dropped CCA-conversion of X25519/X448 and adjusted security considerations.</t>
          </li>
          <li>
            <t>Switched to hedged variant also for SLH-DSA.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-08">
        <name>draft-ietf-openpgp-pqc-08</name>
        <ul spacing="normal">
          <li>
            <t>Assigned code points 35 and 36 for ML-KEM + ECDH algorithms.</t>
          </li>
          <li>
            <t>Removed hash binding for ML-DSA + EdDSA and SLH-DSA algorithms.</t>
          </li>
          <li>
            <t>Allowed usage of ML-KEM-768 + X25519 with v4 keys.</t>
          </li>
          <li>
            <t>Aligned KEM combiner to X-Wing and switched to suffix-free encoding of the domain separator.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-09">
        <name>draft-ietf-openpgp-pqc-09</name>
        <ul spacing="normal">
          <li>
            <t>Removed subkey semantics related guidance.</t>
          </li>
          <li>
            <t>Updated test vectors.</t>
          </li>
          <li>
            <t>Added non-normative algorithm explanation.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-10">
        <name>draft-ietf-openpgp-pqc-10</name>
        <ul spacing="normal">
          <li>
            <t>Specified minimum requirements for signature message digest sizes.</t>
          </li>
          <li>
            <t>Added security considerations for signature message digest sizes.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-11">
        <name>draft-ietf-openpgp-pqc-11</name>
        <ul spacing="normal">
          <li>
            <t>Editorial changes and fixes of inconsistencies.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-12">
        <name>draft-ietf-openpgp-pqc-12</name>
        <ul spacing="normal">
          <li>
            <t>Moved from informational to standards-track.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-13">
        <name>draft-ietf-openpgp-pqc-13</name>
        <ul spacing="normal">
          <li>
            <t>Addressed various editorial comments from AD review.</t>
          </li>
          <li>
            <t>Added text about signature verification to the migration considerations section.</t>
          </li>
          <li>
            <t>Added text about preventing signature cross-protocol attacks to the security considerations section.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-14">
        <name>draft-ietf-openpgp-pqc-14</name>
        <ul spacing="normal">
          <li>
            <t>Fixed a broken reference.</t>
          </li>
          <li>
            <t>Updated KEM combiner references.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-15">
        <name>draft-ietf-openpgp-pqc-15</name>
        <ul spacing="normal">
          <li>
            <t>Addressed various editorial comments from IESG reviews.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-16">
        <name>draft-ietf-openpgp-pqc-16</name>
        <ul spacing="normal">
          <li>
            <t>Addressed more editorial comments from IESG reviews.</t>
          </li>
        </ul>
      </section>
    </section>
    <section anchor="contributors">
      <name>Contributors</name>
      <t>Stephan Ehlen (BSI)<br/>
Carl-Daniel Hailfinger (BSI)<br/>
Andreas Huelsing (TU Eindhoven)</t>
    </section>
    <section numbered="false" anchor="acknowledgments">
      <name>Acknowledgments</name>
      <t>Thanks to Daniel Kahn Gillmor, Justus Winter, Daniel Huigens, Evangelos Karatsiolis, and early implementers of the draft for their reviews and feedback on this document.</t>
    </section>
  </middle>
  <back>
    <references anchor="sec-combined-references">
      <name>References</name>
      <references anchor="sec-normative-references">
        <name>Normative References</name>
        <reference anchor="RFC7748">
          <front>
            <title>Elliptic Curves for Security</title>
            <author fullname="A. Langley" initials="A." surname="Langley"/>
            <author fullname="M. Hamburg" initials="M." surname="Hamburg"/>
            <author fullname="S. Turner" initials="S." surname="Turner"/>
            <date month="January" year="2016"/>
            <abstract>
              <t>This memo specifies two elliptic curves over prime fields that offer a high level of practical security in cryptographic applications, including Transport Layer Security (TLS). These curves are intended to operate at the ~128-bit and ~224-bit security level, respectively, and are generated deterministically based on a list of required properties.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="7748"/>
          <seriesInfo name="DOI" value="10.17487/RFC7748"/>
        </reference>
        <reference anchor="RFC8032">
          <front>
            <title>Edwards-Curve Digital Signature Algorithm (EdDSA)</title>
            <author fullname="S. Josefsson" initials="S." surname="Josefsson"/>
            <author fullname="I. Liusvaara" initials="I." surname="Liusvaara"/>
            <date month="January" year="2017"/>
            <abstract>
              <t>This document describes elliptic curve signature scheme Edwards-curve Digital Signature Algorithm (EdDSA). The algorithm is instantiated with recommended parameters for the edwards25519 and edwards448 curves. An example implementation and test vectors are provided.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="8032"/>
          <seriesInfo name="DOI" value="10.17487/RFC8032"/>
        </reference>
        <reference anchor="RFC3394">
          <front>
            <title>Advanced Encryption Standard (AES) Key Wrap Algorithm</title>
            <author fullname="J. Schaad" initials="J." surname="Schaad"/>
            <author fullname="R. Housley" initials="R." surname="Housley"/>
            <date month="September" year="2002"/>
          </front>
          <seriesInfo name="RFC" value="3394"/>
          <seriesInfo name="DOI" value="10.17487/RFC3394"/>
        </reference>
        <reference anchor="RFC9580">
          <front>
            <title>OpenPGP</title>
            <author fullname="P. Wouters" initials="P." role="editor" surname="Wouters"/>
            <author fullname="D. Huigens" initials="D." surname="Huigens"/>
            <author fullname="J. Winter" initials="J." surname="Winter"/>
            <author fullname="Y. Niibe" initials="Y." surname="Niibe"/>
            <date month="July" year="2024"/>
            <abstract>
              <t>This document specifies the message formats used in OpenPGP. OpenPGP provides encryption with public key or symmetric cryptographic algorithms, digital signatures, compression, and key management.</t>
              <t>This document is maintained in order to publish all necessary information needed to develop interoperable applications based on the OpenPGP format. It is not a step-by-step cookbook for writing an application. It describes only the format and methods needed to read, check, generate, and write conforming packets crossing any network. It does not deal with storage and implementation questions. It does, however, discuss implementation issues necessary to avoid security flaws.</t>
              <t>This document obsoletes RFCs 4880 ("OpenPGP Message Format"), 5581 ("The Camellia Cipher in OpenPGP"), and 6637 ("Elliptic Curve Cryptography (ECC) in OpenPGP").</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="9580"/>
          <seriesInfo name="DOI" value="10.17487/RFC9580"/>
        </reference>
        <xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.7748.xml"/>
        <xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.8032.xml"/>
        <xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.3394.xml"/>
        <xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.9580.xml"/>

        <reference anchor="FIPS-203" target="https://doi.org/10.6028/NIST.FIPS.203"> target="https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.203.pdf">
          <front>
            <title>Module-Lattice-Based Key-Encapsulation Mechanism Standard</title>
            <author>
              <organization>National
              <organization abbrev="NIST">National Institute of Standards and Technology</organization>
            </author>
            <date year="2024" month="August"/> month="August" year="2024"/>
          </front>
          <seriesInfo name="NIST FIPS" value="203"/>
          <seriesInfo name="DOI" value="10.6028/NIST.FIPS.203"/>
        </reference>

        <reference anchor="FIPS-204" target="https://doi.org/10.6028/NIST.FIPS.204"> target="https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.204.pdf">
          <front>
            <title>Module-Lattice-Based Digital Signature Standard</title>
            <author>
              <organization>National
              <organization abbrev="NIST">National Institute of Standards and Technology</organization>
            </author>
            <date year="2024" month="August"/> month="August" year="2024"/>
          </front>
          <seriesInfo name="NIST FIPS" value="204"/>
          <seriesInfo name="DOI" value="10.6028/NIST.FIPS.204"/>
        </reference>

        <reference anchor="FIPS-205" target="https://doi.org/10.6028/NIST.FIPS.205"> target="https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.205.pdf">
          <front>
            <title>Stateless Hash-Based Digital Signature Standard</title>
            <author>
              <organization>National
              <organization abbrev="NIST">National Institute of Standards and Technology</organization>
            </author>
            <date year="2024" month="August"/> month="August" year="2024"/>
          </front>
          <seriesInfo name="NIST FIPS" value="205"/>
          <seriesInfo name="DOI" value="10.6028/NIST.FIPS.205"/>
        </reference>

        <reference anchor="IANA-OPENPGP" target="https://www.iana.org/assignments/openpgp/openpgp.xhtml#openpgp-public-key-algorithms"> target="https://www.iana.org/assignments/openpgp">
          <front>
            <title>OpenPGP Public Key Algorithms</title>
            <author>
              <organization>IANA</organization>
            </author>
            <date>n.d.</date>
          </front>
        </reference>
        <reference anchor="RFC2119">
          <front>
            <title>Key words
        <xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.2119.xml"/>
        <xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.8174.xml"/>
      </references>
      <references anchor="sec-informative-references">
        <name>Informative References</name>

<!-- [rfced] [NIST-PQC] Please review. The date provided for use in RFCs to Indicate Requirement Levels</title>
            <author fullname="S. Bradner" initials="S." surname="Bradner"/>
            <date month="March" year="1997"/>
            <abstract>
              <t>In many standards track documents several words are used to signify this
     reference does not match any of the requirements in dates provided at this
     reference's URL. At the specification. These words bottom of the page the dates listed are often capitalized. This document defines these words as they should be interpreted in IETF documents. This document specifies an Internet Best Current Practices for "
     Created January 03, 2017, Updated December 11, 2025".

Also, the Internet Community, and requests discussion and suggestions for improvements.</t>
            </abstract>
          </front>
          <seriesInfo name="BCP" value="14"/>
          <seriesInfo name="RFC" value="2119"/>
          <seriesInfo name="DOI" value="10.17487/RFC2119"/>
        </reference>
        <reference anchor="RFC8174">
          <front>
            <title>Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words</title>
            <author fullname="B. Leiba" initials="B." surname="Leiba"/>
            <date month="May" year="2017"/>
            <abstract>
              <t>RFC 2119 specifies common key words that may be authors used in protocol specifications. This document aims to reduce this reference entry are not listed on this
page (with the ambiguity by clarifying that only UPPERCASE usage exception of Dustin Moody who is listed in the key words have
"Contacts" section).

Is there another page this reference was meant to point to?

If this is the defined special meanings.</t>
            </abstract>
          </front>
          <seriesInfo name="BCP" value="14"/>
          <seriesInfo name="RFC" value="8174"/>
          <seriesInfo name="DOI" value="10.17487/RFC8174"/>
        </reference>
      </references>
      <references anchor="sec-informative-references">
        <name>Informative References</name> correct URL we recommend the following update:

Current:
   [NIST-PQC] Chen, L., Moody, D., and Y. Liu, "Post-Quantum Cryptography
   Standardization", December 2016,
   <https://csrc.nist.gov/projects/post-quantum-cryptography/post-quantum-cryptography-standardization>.

Perhaps:
   [NIST-PQC] NIST, "Post-Quantum Cryptography Standardization", December 2025,
   <https://csrc.nist.gov/projects/post-quantum-cryptography/post-quantum-cryptography-standardization>.

-->
        <reference anchor="NIST-PQC" target="https://csrc.nist.gov/projects/post-quantum-cryptography/post-quantum-cryptography-standardization">
          <front>
            <title>Post-Quantum Cryptography Standardization</title>
            <author initials="L." surname="Chen" fullname="Lily Chen">
              <organization/>
            </author>
            <author initials="D." surname="Moody" fullname="Dustin Moody">
              <organization/>
            </author>
            <author initials="Y." surname="Liu" fullname="Yi-Kai Liu">
              <organization/>
            </author>
            <date year="2016" month="December"/>
          </front>
        </reference>

        <!-- Note to PE: XML for update to [NIST-PQC]
        <reference anchor="NIST-PQC" target="https://csrc.nist.gov/projects/post-quantum-cryptography/post-quantum-cryptography-standardization">
          <front>
            <title>Post-Quantum Cryptography Standardization</title>
            <author>
              <organization>NIST</organization>
            </author>
            <date year="2025" month="December"/>
          </front>
        </reference>
        -->

<!-- [rfced] [NISTIR-8413] FYI: We've updated the date for this
reference from September 2022 to July 2022. Note that the version from
September was withdrawn and replaced by an updated version in July
2022: https://nvlpubs.nist.gov/nistpubs/ir/2022/NIST.IR.8413.pdf. We
also updated the series number from "NIST IR 8413" to "NIST IR
8413-upd1". -->

        <reference anchor="NISTIR-8413" target="https://doi.org/10.6028/NIST.IR.8413-upd1">
          <front>
            <title>Status Report on the Third Round of the NIST Post-Quantum Cryptography Standardization Process</title>
            <author initials="G." surname="Alagic" fullname="Gorjan Alagic">
              <organization/>
            </author>
            <author initials="D." surname="Apon" fullname="Daniel Apon">
              <organization/>
            </author>
            <author initials="D." surname="Cooper" fullname="David Cooper">
              <organization/>
            </author>
            <author initials="Q." surname="Dang" fullname="Quynh Dang">
              <organization/>
            </author>
            <author initials="T." surname="Dang" fullname="Thinh Dang">
              <organization/>
            </author>
            <author initials="J." surname="Kelsey" fullname="John Kelsay"> Kelsey">
              <organization/>
            </author>
            <author initials="J." surname="Lichtinger" fullname="Jacob Lichtinger">
              <organization/>
            </author>
            <author initials="Y." surname="Liu" fullname="Yi-Kai Liu">
              <organization/>
            </author>
            <author initials="C." surname="Miller" fullname="Carl Miller">
              <organization/>
            </author>
            <author initials="D." surname="Moody" fullname="Dustin Moody">
              <organization/>
            </author>
            <author initials="R." surname="Peralta" fullname="Rene Peralta">
              <organization/>
            </author>
            <author initials="R." surname="Perlner" fullname="Ray Perlner">
              <organization/>
            </author>
            <author initials="A." surname="Robinson" fullname="Angela Robinson">
              <organization/>
            </author>
            <author initials="D." surname="Smith-Tone" fullname="Daniel Smith-Tone">
              <organization/>
            </author>
            <author initials="Y." surname="Liu" fullname="Yi-Kai Liu">
              <organization/>
            </author>
            <date year="2022" month="September"/> month="July"/>
          </front>
          <seriesInfo name="NIST IR 8413" value=""/> IR" value="8413-upd1"/>
        </reference>
        <reference anchor="CHHKM" target="https://eprint.iacr.org/2025/1397">
          <front>
            <title>Starfighters - On the General Applicability of X-Wing</title>
            <author initials="D." surname="Connolly" fullname="Deirdre Connolly">
              <organization/>
            </author>
            <author initials="K." surname="Hoevelmanns" surname="Hövelmanns" fullname="Kathrin Hoevelmanns"> Hövelmanns">
              <organization/>
            </author>
            <author initials="A." surname="Huelsing" surname="Hülsing" fullname="Andreas Huelsing"> Hülsing">
              <organization/>
            </author>
            <author initials="S." surname="Kousidis" fullname="Stavros Kousidis">
              <organization/>
            </author>
            <author initials="M." surname="Meijers" fullname="Matthias Meijers">
              <organization/>
            </author>
            <date year="2025"/>
          </front>
          <seriesInfo name="Cryptology {ePrint}
          <refcontent>Cryptology ePrint Archive, Paper 2025/1397" value=""/> 2025/1397</refcontent>
        </reference>
        <reference anchor="BCD_24" target="https://doi.org/10.62056/a3qj89n4e">
          <front>
            <title>X-Wing The Hybrid KEM You've Been Looking For</title>
            <author initials="M." surname="Barbosa" fullname="Manuel Barbosa">
              <organization/>
            </author>
            <author initials="D." surname="Connolly" fullname="Deirdre Connolly">
              <organization/>
            </author>
            <author initials="J. D." surname="Duarte" fullname="Joao Diogo Duarte">
              <organization/>
            </author>
            <author initials="A." surname="Kaiser" fullname="Aaron Kaiser">
              <organization/>
            </author>
            <author initials="P." surname="Schwabe" fullname="Peter Schwabe">
              <organization/>
            </author>
            <author initials="K." surname="Varner" fullname="Karoline Varner">
              <organization/>
            </author>
            <author initials="B." surname="Westerbaan" fullname="Bas Westerbaan">
              <organization/>
            </author>
            <date year="2024"/>
          </front>
          <refcontent>IACR Communications in Cryptology, vol. 1, no. 1</refcontent>
        </reference>
        <reference anchor="ABH_21" target="https://doi.org/10.1007/978-3-030-77870-5_4">
          <front>
            <title>Analysing the HPKE Standard</title>
            <author initials="J." surname="Alwen" fullname="Joel Alwen">
              <organization/>
            </author>
            <author initials="B." surname="Blanchet" fullname="Bruno Blanchet">
              <organization/>
            </author>
            <author initials="E." surname="Hauck" fullname="Eduard Hauck">
              <organization/>
            </author>
            <author initials="E." surname="Kiltz" fullname="Eike Kiltz">
              <organization/>
            </author>
            <author initials="B." surname="Lipp" fullname="Benjamin Lipp">
              <organization/>
            </author>
            <author initials="D." surname="Riepel" fullname="Doreen Riepl">
              <organization/>
            </author>
            <date year="2021"/>
          </front>
        </reference>
        <reference anchor="RFC9794">
          <front>
            <title>Terminology for Post-Quantum Traditional Hybrid Schemes</title>
            <author fullname="F. Driscoll" initials="F." surname="Driscoll"/>
            <author fullname="M. Parsons" initials="M." surname="Parsons"/>
            <author fullname="B. Hale" initials="B." surname="Hale"/>
            <date month="June" year="2025"/>
            <abstract>
              <t>One aspect of the transition to post-quantum algorithms
          <refcontent>Advances in cryptographic protocols Cryptology – EUROCRYPT 2021, Lecture Notes in Computer Science, vol. 12696, pp. 87-116</refcontent>
        </reference>
        <xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.9794.xml"/>

<!--[rfced] [AD] The authors submitted a query about possible downrefs suggested by IDNITs (see list below).  This is not generally something the development of hybrid schemes that incorporate both post-quantum RPC advises on.  Upon conference between AD and traditional asymmetric algorithms. This document defines terminology authors, please let us know if any updates/changes are necessary.

  Checking references for such schemes. It is intended status: Proposed Standard

     (See RFCs 3967 and 4897 for information about using normative references
     to be used as a lower-maturity documents in RFCs)

  - Possible downref: Non-RFC (?) normative reference: ref. 'FIPS-203'

  - Possible downref: Non-RFC (?) normative reference: ref. 'FIPS-204'

  - Possible downref: Non-RFC (?) normative reference: ref. 'FIPS-205'

  - Possible downref: Non-RFC (?) normative reference: ref. 'IANA-OPENPGP'

  ** Downref: Normative reference and, hopefully, to ensure consistency and clarity across different protocols, standards, and organisations.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="9794"/>
          <seriesInfo name="DOI" value="10.17487/RFC9794"/>
        </reference> an Informational RFC: RFC 3394

  ** Downref: Normative reference to an Informational RFC: RFC 7748

  ** Downref: Normative reference to an Informational RFC: RFC 8032

From the authors: "We listed those references as normative as they
contain the algorithmic specifications needed.

We would appreciate guidance from the RFC Editor Team if this should
be handled differently."

-->

      </references>
    </references>
    <?line 1155?>

    <section anchor="test-vectors">
      <name>Test Vectors</name>
      <t>To help with implementing this specification specification, a set of non-normative examples follow here.</t> follow.</t>
      <section anchor="sample-v6-ed25519-with-ml-kem-768x25519-data">
        <name>Sample v6 Ed25519 with ML-KEM-768+X25519 Data</name>
        <section anchor="test-vector-sec-ed25519">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 Ed25519 Private Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Private Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>c789e17d9dbdca7b3c833a3c063feb0353f80ad911fe27868fb0645df803e947</tt>.</t>
          <t>The subkey has the fingerprint <tt>dafe0eebb2675ecfcdc20a23fe89ca5d12e83f527dfa354b6dcf662131a48b9d</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-eddsa-sample-sk.asc"><![CDATA[
-----BEGIN PGP PRIVATE KEY BLOCK-----
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-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="test-vector-pub-ed25519">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-ed25519"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 Ed25519 Public Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Public Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-eddsa-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----
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-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="encrypted-and-signed-message">
          <name>Encrypted and Signed Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-ed25519"/> and signed by the secret key <xref target="test-vector-sec-ed25519"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 PKESK</t>
            </li>
            <li>
              <t>A v2 SEIPD</t>
            </li>
          </ul>
          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>b0e45408d8c713f3941cd27276f879e557df013e05bcf43e37d4c60266a4b797</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>9d994741e0db5eacee44cb028c2ec48b1346feae2576aaac383bbcd64138c932</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>5bf078bf7977109db6dead92d3578b62d0ab0487ef84e8e0af08f4b4b229e590</tt>.</t>
          <t>The hex-encoded session key is <tt>94a3b8c9784463bb96b682cddf549adb23579b75bcb646f989d7cfe3e6e14435</tt>.</t>
          <sourcecode type="application/pgp-encrypted" type="application/pgp-keys" name="v6-eddsa-sample-message.asc"><![CDATA[
-----BEGIN PGP MESSAGE-----

wcPtBiEG2v4O67JnXs/Nwgoj/onKXRLoP1J9+jVLbc9mITGki50jheL+TOBHsjFH
wVgycjiaAbS8K5lgfQw4rBjSqx16Smu90uphsP45SHdcYxgCXThuQ7TN+iSi+eCg
6NwID4cGRb4jVXdg0S9ur3ehWmC142K5BukkbWWBQDJM0hQa9DW+Lz+5PAb6JOfF
OGfbXzRTmuNBM8nePrigxOrtDe00K6qZlDvBjXOx5mvuCej/33WnfJFYPhxpZfv0
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ngqFrEkdOzaOHiIZarV74y3G3wZyzXobjp+dpA==
-----END PGP MESSAGE-----
]]></sourcecode> MESSAGE-----]]></sourcecode>

        </section>
      </section>
      <section anchor="sample-v4-ed25519-with-ml-kem-768x25519-data">
        <name>Sample v4 Ed25519 with ML-KEM-768+X25519 Data</name>
        <section anchor="test-vector-sec-v4-ed25519">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v4 Ed25519 Private Key packet</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v4 positive certification self-signature</t>
            </li>
            <li>
              <t>A v4 ML-KEM-768+X25519 Private Subkey packet</t>
            </li>
            <li>
              <t>A v4 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>342e5db2de345215cb2c944f7102ffed3b9cf12d</tt>.</t>
          <t>The subkey has the fingerprint <tt>e51dbfea51936988b5428fffa4f95f985ed61a51</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v4-eddsa-sample-sk.asc"><![CDATA[
-----BEGIN PGP PRIVATE KEY BLOCK-----

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P/WoL5x2SDW3bNe2kpcypEWdTapexJdgWxDlzS5QUUMgdXNlciAoVGVzdCBLZXkp
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xY9xSwF/sZu5K3/mGYBwUmZdfGty1nOexsr0agYZSkEjBkRCWYJYqi+BswClWxr6
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XbLeNFIVyyyUT3EC/+07nPEtAADn/QwnUsJ2e8wOM1CRL7UfYfta21hApsSrb/KP
aFZa4v1Zz2bq/w+2YWC5UFY9hPTVriMS9ve0oUncLSoTJfMCmwk=
-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="test-vector-pub-v4-ed25519">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-v4-ed25519"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v4 Ed25519 Public Key packet</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v4 positive certification self-signature</t>
            </li>
            <li>
              <t>A v4 ML-KEM-768+X25519 Public Subkey packet</t>
            </li>
            <li>
              <t>A v4 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v4-eddsa-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

xiYEZ3SFgBuhDibMGc69QTyzKYr3R7MMaQOZuU0Bwg82JVcL+NGHs80uUFFDIHVz
ZXIgKFRlc3QgS2V5KSA8cHFjLXRlc3Qta2V5QGV4YW1wbGUuY29tPsLAAAQTGwgA
dgWCZ3SFgAMLCQcJkHEC/+07nPEtNRQAAAAAABwAEHNhbHRAbm90YXRpb25zLm9w
ZW5wZ3Bqcy5vcmflJVsqmBkKP2CYLg2xa6JXAhUIAhYAAhkBApsDAh4JFiEENC5d
st40UhXLLJRPcQL/7Tuc8S0FJwkCBwIAAIr/NRxHkYYrDZWvofM1fr0PR2wm+f7p
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6DxOATrLmLtUclmS+8WUxrU6rmvIkhy0aKi6aXS+7tDOSFGn2GmnFEZpxgEVYCuh
b5Y6TFV996wJ98swFdkkzJZ/MMYUSdkKJdErPpuC9ocre+IdGtOQ/TPCMpdifsPB
ueI5nGkcZjaAZTp3rDNOdqO05cHGY8CidqaNVMPEjaqKgClAZ7ucAPOzHyevfYoA
qINpk/A3tVu1QOVeJoVpJNyGhlBvmGoa6MdysdVYHnoN3fYK4zWQBwjCRLfMBSph
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8Eph5VNG7zgpeAcHXKe4KkNLeiV9KrNfI1vA7uZdPBYE2AU96hxMI/QXsyqlQlKn
1xu20fg6DfgkeJMWcVmvxIV5r6ocSRpZT9hvkEBUktmZ+khV3+fDmjLMCNYxD7uE
Y2xCuvfHfCYhbil1ALB9THxnReWl8Oa1BeMGCAQPclI7LpA+XYRnT0cXg+IXQkom
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WxQF3SBYAmJfcNUacIOkMKViZfpVE3OvkIl06vqkY0KuMyB79ygX98vDzPVbFoSE
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Kxs/CCoqSIFsfylEbFEAznZFqGtoG6F5X+wrA/qFXpnCt2Fj6GtBtllR5Swg6za/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-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="encrypted-and-signed-seipd-v1-message">
          <name>Encrypted and Signed SEIPD v1 Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-v4-ed25519"/> and signed by the secret key <xref target="test-vector-sec-v4-ed25519"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v3 PKESK</t>
            </li>
            <li>
              <t>A v1 SEIPD</t>
            </li>
          </ul>
          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>16f2aea8ec1ca277c04cc7b87681d7d38511a38f554775a8fc4de41aa76eb586</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>2fc0c8fcace9636c86d1ee1715a302819ad48c549579a462a33eed36627c532e</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>c1591d7511f9f0213bfd57cf316e5ec0d40c4ea826fa989ab606aa3b8a1a2c1f</tt>.</t>
          <t>The hex-encoded session key is <tt>b4dc7197e1519822ca689da484643edf272934d98ae1974b5d88317a7a6a3c4f</tt>.</t>
          <sourcecode type="application/pgp-encrypted" type="application/pgp-keys" name="v4-eddsa-sample-message-v1.asc"><![CDATA[
-----BEGIN PGP MESSAGE-----

wcPUA6T5X5he1hpRI8oKxrVQiCkB27ePKVHeA4pTYMKZA6u1l8syrP2+sEULDgvB
GmH6+0mTw07VEh6J1i1+3ymnnTqLhkv3YqdBtiC81+PL05YPCymPZaWf0ajq+4sM
dnBfLJ3BPrsJw03sVHIBh+L3qolG0CliIzGKxIPz9F5RBSvDdSIwCNg9hnfZjpMu
kcmceYISpWjJR+LeAieyYOTZ+Qhx71jYQ2svfpwW+XAw03uMpZkvqkOJmYr8uUca
i8x2j4G6EUXuu9NswSPPirCqU6OZVdpoHUZusFyRZz89V10fQr9hrnJOGw0VtPGz
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y6QD6I+PneJl/8M5a7ECrlFuR2p3Kyt6MTiY+6sxJ1GOVhpNS24iO/LRxAUe8DRi
tFC46oEQFByp98SIWt3JoJKHcjQzLKTjRWfYhZDiUnBkoM6nYaAZdItcFsBDG3IV
1UstcmfcCugJyWi8V8XHVKdhWe3bWc1WrhieDCVpfSBD2NnRMGG+g90WtHcwhntf
n/mwyR/GLG+gRc16I5hPm84lS34+/txx745yDXdTx/szZAqQw0VW47CwF17A3wdw
cX1UDnUnf7/llFKqg8Zn/GXGIEreo5q/83Ib7dehm50APhtaKnQzoPbPPu21lw+8
/3gisYxQbmrphEpU2KWWWrG5g8P3JG/D9wlHwDhhXPCdNFB7wthQbaDQ1WnN3WlV
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BtwlXWF3cgMvvAFfH8fXGXAtJw5Gz4/gxzan1q1JcOm6Akgp55J37LlPeXIKHiyX
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6MKJVXYuYnk2qpuNWV1NPlCUH583LH2xgJ1YNk6U7ID4opcBMJuVM+MTA7cmLObE
Fdoa2TvJu5rpyrnqedHPNgE98P95kZJ/UtaIqJL+zzGkD5rip70DJPuQ6CkVwX1o
pTx2EKwi3c8H5QZtZUkLYeh8x/1LidZeLBdMLut1Lc7BmD0j0wU0PrwaSLsWAYmW
L16/cY9xPwIqmC8nST8rH94QoBl5eFkm3HrDYjJZrNybk0RKP5oLKG8QoUO2kXyW
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GS/k57744ziY/ACTz8cRxVKgM1oTYjDsNKvmM2J6ij7vRxuMBvM/kO7g+0jD2hPV
eWyIS1VKeT1LG7sRBd+GVQ9jHKpP/7YonXYUrOkpCdG/5YOX6Doo3VlVTRi00QmC
t8716eEJLd7ivorFYFELY5eOEUcjmNLSwEgBr2kPm1Mkn8RS8mCNT188nXgTzZk7
jZ1rurNkkqQM53xMaLmQImS+N20GPoa2RdHW+R/veP7LugLO7gozMi/zz9+kcd0Y
wPahWnYsZ4uHg/zbgFMIH/iwQ04nv58gOLJfJafGarwotFvBIfl4Nd607lmVJTc0
OjVhhisWL5WDIC82+DDu0yDLH/huzY4W7/ks3Hn/UpEwzq+A1/bY3MbQomew5hTI
99z/IeulfiT8/0POofN3lvMvTzeGuMMsBiMFp2nbCEHrwWCN9uaE3eAbj3E0OtAM
AIIfxypiV+bYm0IA58t7Ur3kMG1KZmcKG4DF5zrL1u5ArX/T7258Z7shYff7WtNU
Wfo=
-----END PGP MESSAGE-----
]]></sourcecode> MESSAGE-----]]></sourcecode>
        </section>
        <section anchor="encrypted-and-signed-seipd-v2-message">
          <name>Encrypted and Signed SEIPD v2 Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-v4-ed25519"/> and signed by the secret key <xref target="test-vector-sec-v4-ed25519"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 PKESK</t>
            </li>
            <li>
              <t>A v2 SEIPD</t>
            </li>
          </ul>
          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>16a22adbeced91ada60b5561611748edd2fedc51e0770f86d7394870062e7322</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>5ac67eab192f25ac99d87543e6fcd3a4769cb02c9d1afdc79354c2baa2289e29</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>5c5652a690b55d1e9545fbd722f838cd8ff4d3657af5a9026d02f3185ca74993</tt>.</t>
          <t>The hex-encoded session key is <tt>160867d96032b640208c1c92174d0270bb89189d72320711acd221bbea2a26b6</tt>.</t>
          <sourcecode type="application/pgp-encrypted" type="application/pgp-keys" name="v4-eddsa-sample-message-v2.asc"><![CDATA[
-----BEGIN PGP MESSAGE-----

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-----END PGP MESSAGE-----
]]></sourcecode> MESSAGE-----]]></sourcecode>

        </section>
      </section>
      <section anchor="sample-ml-dsa-65ed25519-with-ml-kem-768x25519-data">
        <name>Sample ML-DSA-65+Ed25519 with ML-KEM-768+X25519 Data</name>
        <section anchor="test-vector-sec-mldsa65">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 ML-DSA-65+Ed25519 Private Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Private Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>a3e2e14b6a493ff930fb27321f125e9a6880338be9fb7da3ae065ea65793242f</tt>.</t>
          <t>The subkey has the fingerprint <tt>7dae8fbce23022607167af72a002e774e0ca379a2d7ae072384e1e8fde3265e4</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-65-sample-sk.asc"><![CDATA[
-----BEGIN PGP PRIVATE KEY BLOCK-----

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-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="test-vector-pub-mldsa65">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-mldsa65"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 ML-DSA-65+Ed25519 Public Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Public Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-65-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

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AAAAAAAAAAAABA8TGSIp
-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>

        <section anchor="encrypted-and-signed-message-1">
          <name>Encrypted and Signed Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-mldsa65"/> and signed by the secret key <xref target="test-vector-sec-mldsa65"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 PKESK</t>
            </li>
            <li>
              <t>A v2 SEIPD</t>
            </li>
          </ul>
          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>0987fe72ad5ea58e73344f9a2a543f4131d9fdb7cf07474f501430a20f705b4d</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>88f3e9a8de1917127b4b758f6e83bd4ce00faaae01bd8b6e412a43a710b26012</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>a4904982f7caa9c9de690afd772d8bfe027a1ad6a5bbda00db68963fe303ae8e</tt>.</t>
          <t>The hex-encoded session key is <tt>adee68618b302d4bfd7ae3d432bc63a1c1ad7f5fd6e7fd7bdedbb0d0b14a5c9a</tt>.</t>
          <sourcecode type="application/pgp-encrypted" type="application/pgp-keys" name="v6-mldsa-65-sample-message.asc"><![CDATA[
-----BEGIN PGP MESSAGE-----

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-----END PGP MESSAGE-----
]]></sourcecode> MESSAGE-----]]></sourcecode>

        </section>
        <section anchor="detached-signature">
          <name>Detached Signature</name>
          <t>Here is a detached signature for the message "Testing\n" made by the secret key in <xref target="test-vector-sec-mldsa65"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 signature packet</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-signature" type="application/pgp-keys" name="v6-mldsa-65-sample-signature.asc"><![CDATA[
-----BEGIN PGP SIGNATURE-----

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-----END PGP SIGNATURE-----
]]></sourcecode> SIGNATURE-----]]></sourcecode>

        </section>
      </section>
      <section anchor="sample-ml-dsa-87ed448-with-ml-kem-1024x448-data">
        <name>Sample ML-DSA-87+Ed448 with ML-KEM-1024+X448 Data</name>
        <section anchor="test-vector-sec-mldsa87">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 ML-DSA-87+Ed448 Private Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-1024+X448 Private Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>0d7a8be1410cd68eed4845ab487b4b4cfaecd8ebad1a1166a84230499200ee20</tt>.</t>
          <t>The subkey has the fingerprint <tt>65090e147a8116ab7f62ab4ec7aae59d9e6532feb2af230c73cdc869fbc60c8f</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-87-sample-sk.asc"><![CDATA[
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AAAAAAAAAAAAAAAAAAAAAAAAAAUMFRwiKDA1
-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="test-vector-pub-mldsa87">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-mldsa87"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 ML-DSA-87+Ed448 Public Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-1024+X448 Public Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-87-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

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BQwVHCIoMDU=
-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="encrypted-and-signed-message-2">
          <name>Encrypted and Signed Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-mldsa87"/> and signed by the secret key <xref target="test-vector-sec-mldsa87"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 PKESK</t>
            </li>
            <li>
              <t>A v2 SEIPD</t>
            </li>
          </ul>
          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>f18f161e617b8ce5968f109aadea1e7e1511d10165768d36127ba913c00637d2</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>732860c8114ae84a964664b1f607785d11bc7d24d5324510adad89bd52db7ee0df9982ad0d1669bdd05556330c86f2dae9e2edea42e05bc5</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>ef1e32906f67d39bc800d90cabb0033c77ca6dce8ffca3e96d9c7348e2e8c16e</tt>.</t>
          <t>The hex-encoded session key is <tt>0588ce40b038aac353d1cf8c67a674b412985105794821013ef154f786c4d89d</tt>.</t>
          <sourcecode type="application/pgp-encrypted" type="application/pgp-keys" name="v6-mldsa-87-sample-message.asc"><![CDATA[
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r9dO/yldgvycbQA=
-----END PGP MESSAGE-----
]]></sourcecode> MESSAGE-----]]></sourcecode>

        </section>
        <section anchor="detached-signature-1">
          <name>Detached Signature</name>
          <t>Here is a detached signature for the message "Testing\n" made by the secret key <xref target="test-vector-sec-mldsa87"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 signature packet</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-signature" type="application/pgp-keys" name="v6-mldsa-87-sample-signature.asc"><![CDATA[
-----BEGIN PGP SIGNATURE-----

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Bw4/Xqbj8PgAAAAAAAAAAAAAAAAAAAAABQ0XHycvMzs=
-----END PGP SIGNATURE-----
]]></sourcecode> SIGNATURE-----]]></sourcecode>

        </section>
      </section>
      <section anchor="sample-slh-dsa-shake-128s-with-ml-kem-768x25519-data">
        <name>Sample SLH-DSA-SHAKE-128s with ML-KEM-768+X25519 Data</name>
        <section anchor="test-vector-sec-slhdsa-128s">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-128s Private Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Private Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>eed4d13fc36c78e48276a93233339c4dd230fd5f6f5c5b82c63d5c0b5e361d92</tt>.</t>
          <t>The subkey has the fingerprint <tt>3e8745a4bb488779e0f32480fa23f8d0bfd8c2f49d7f74e957e1c2ffc2ef4bfc</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128s-sample-sk.asc"><![CDATA[
-----BEGIN PGP PRIVATE KEY BLOCK-----

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OSngGNmRTigQ
-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="test-vector-pub-slhdsa-128s">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-slhdsa-128s"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-128s Public Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Public Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128s-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

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3hjEn7SMGyQ/M2UEoRLXu178U9DsA5fEuAYqKBiuP4n2UJaQoFX7nBa7EpgL69IS
U2qr25RB70+QtdXGxZuwFQu7d/cdL1NDc710HId3gob8c76LLrh3B236Rmq5Apsy
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rluC1ZlWi6EEdlkjeC91x5CaoiNRhfzaW1TebGjchBkumLnFJ954tMP/5ysfsFOL
o0Hrwk+tHHB7dQuBn8FSkIkUurJVT/vVtYcJfl/SZnx56aNeL9OV+KePSRS93o1D
OqNezwg+Kx8swBvpPxAQMCzVq9CVfHzdUDt0C/imQekRIreSX6zUbgsbeQeSO3j0
cOrVcviHJIqF4pArtSHV0pUIMcusFC5I1Z0ARKsrOSngGNmRTigQ
-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="encrypted-and-signed-message-3">
          <name>Encrypted and Signed Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-slhdsa-128s"/> and signed by the secret key <xref target="test-vector-sec-slhdsa-128s"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 PKESK</t>
            </li>
            <li>
              <t>A v2 SEIPD</t>
            </li>
          </ul>
<!--[rfced] Please have a look at the line wrap issue in Appendix A.4.3.  Now that the text is in <tt> to format it as fixedwidth, it seems not to be able to wrap to fit within the 72-character limit.

	  -->

          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>5dc60150f5f965ddc8014b6aa2ecae1831467e98fa315422f238984d6421a22e</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>9dbd0f9bde7fef09817146e53a0b5ce7d27e79612670968fa0025422c578ab55</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>ae8ab57801911c04c7b4c2a2f665cf8d8a8188f948c2a65e39c292d9b1d86e32</tt>.</t>
          <t>The hex-encoded session key is <tt>e87567cad8fee5738f92090feed009d8af95437fa664f94da98776d966bbbc52</tt>.</t>
          <sourcecode type="application/pgp-encrypted" type="application/pgp-keys" name="v6-slhdsa-128s-sample-message.asc"><![CDATA[
-----BEGIN PGP MESSAGE-----

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-----END PGP MESSAGE-----
]]></sourcecode> MESSAGE-----]]></sourcecode>

        </section>
        <section anchor="detached-signature-2">
          <name>Detached Signature</name>
          <t>Here is a detached signature for the message "Testing\n" made by the secret key <xref target="test-vector-sec-slhdsa-128s"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 signature packet</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-signature" type="application/pgp-keys" name="v6-slhdsa-128s-sample-signature.asc"><![CDATA[
-----BEGIN PGP SIGNATURE-----

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qys5KeAY2ZFOKBA=
-----END PGP SIGNATURE-----
]]></sourcecode> SIGNATURE-----]]></sourcecode>

        </section>
      </section>
      <section anchor="sample-slh-dsa-shake-128f-with-ml-kem-768x25519-data">
        <name>Sample SLH-DSA-SHAKE-128f with ML-KEM-768+X25519 Data</name>
        <section anchor="test-vector-sec-slhdsa-128f">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-128f Private Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Private Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>d54e0307021169f7b88beb2b76e3aad0e114be1a8f982d74dba9ca51d03537f4</tt>.</t>
          <t>The subkey has the fingerprint <tt>d8875664256c382dd7f3a5ce05021088922811f5d0b1a1f8c7769944a51b7002</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128f-sample-sk.asc"><![CDATA[
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-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="test-vector-pub-slhdsa-128f">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-slhdsa-128f"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-128f Public Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Public Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128f-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

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-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="detached-signature-3">
          <name>Detached Signature</name>
          <t>Here is a detached signature for the message "Testing\n" made by the secret key <xref target="test-vector-sec-slhdsa-128f"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 signature packet</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-signature" type="application/pgp-keys" name="v6-slhdsa-128f-sample-signature.asc"><![CDATA[
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-----END PGP SIGNATURE-----
]]></sourcecode> SIGNATURE-----]]></sourcecode>

        </section>
      </section>
      <section anchor="sample-slh-dsa-shake-256s-with-ml-kem-1024x448-data">
        <name>Sample SLH-DSA-SHAKE-256s with ML-KEM-1024+X448 Data</name>
        <section anchor="test-vector-sec-slhdsa-256s">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-256s Private Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-1024+X448 Private Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>72fff84863aeba67f0d1d7691173247dd427533b9d7ee76011c6f77f2ce9fa7a</tt>.</t>
          <t>The subkey has the fingerprint <tt>570a5bbab93169876a8240da35a1ada7ba8a640aabe3ab467c797214844df15f</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-256s-sample-sk.asc"><![CDATA[
-----BEGIN PGP PRIVATE KEY BLOCK-----

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-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="test-vector-pub-slhdsa-256s">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-slhdsa-256s"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-256s Public Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-1024+X448 Public Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-256s-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

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TontEOLGO7U+
-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode> BLOCK-----]]></sourcecode>

        </section>
        <section anchor="detached-signature-4">
          <name>Detached Signature</name>
          <t>Here is a detached signature for the message "Testing\n" made by the secret key <xref target="test-vector-sec-slhdsa-256s"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 signature packet</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-signature" type="application/pgp-keys" name="v6-slhdsa-256s-sample-signature.asc"><![CDATA[
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-----END PGP SIGNATURE-----
]]></sourcecode> SIGNATURE-----]]></sourcecode>
        </section>
      </section>
    </section>
  </back>

    <section numbered="false" anchor="acknowledgments">
      <name>Acknowledgments</name>
      <t>Thanks to <contact fullname="Daniel Kahn Gillmor"/>, <contact
      fullname="Justus Winter"/>, <contact fullname="Daniel Huigens"/>,
      <contact fullname="Evangelos Karatsiolis"/>, and early implementers of
      the document for their reviews and feedback.</t>
    </section>

    <section numbered="false" anchor="contributors">
      <name>Contributors</name>

	<contact fullname="Stephan Ehlen">
	  <organization>BSI</organization>
	</contact>

	<contact fullname="Carl-Daniel Hailfinger">
	  <organization>BSI</organization>
	</contact>

	<contact fullname="Andreas Huelsing">
	  <organization>TU Eindhoven</organization>
	</contact>
    </section>

<!--[rfced] We had the following questions/comments related to
     abbreviation use throughout the document:

a) We have expanded abbreviations on first use.  Please review these
expansions for accuracy.

b) The document expands MLWE as "Learning with Errors problem in
module lattices (MLWE)".  We believe the abbreviation stands for
"Module Learning with Errors".  Please let us know if/how to update.

c) We have updated the expansion of SEIPD to match RFC 9580.  Please
let us know any objections.

Original:
Symmetrically Encrypted and Integrity Protected Data

Current:
Symmetrically Encrypted Integrity Protected Data

d) We see PK and SK are introduced in Section 6.1, but are not used
elsewhere in the text.  Would you like to introduce them sooner and
use them throughout?  Or perhaps remove them from Section 6.1?
-->

<!--[rfced] We had the following questions/comments about terminology use throughout the document:

a) We see both algorithm ID and Algorithm ID.  Please let us know if/how these should be made uniform.

-->

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LPDnzx8A+A+unuBa848LAA== [rfced] Please review the "Inclusive Language" portion of the online
Style Guide <https://www.rfc-editor.org/styleguide/part2/#inclusive_language>
and let us know if any changes are needed.  Updates of this nature typically
result in more precise language, which is helpful for readers.

Note that our script did not flag any words in particular, but this should
still be reviewed as a best practice.

In addition, please consider whether "traditional" should be updated for clarity.
While the NIST website
<https://web.archive.org/web/20250214092458/https://www.nist.gov/nist-research-library/nist-technical-series-publications-author-instructions#table1>
indicates that this term is potentially biased, it is also ambiguous.
"Tradition" is a subjective term, as it is not the same for everyone.

-->

  </back>

</rfc>