Internet-Draft PQ Composite ML-DSA June 2024
Ounsworth, et al. Expires 8 December 2024 [Page]
Intended Status:
Standards Track
M. Ounsworth
J. Gray
M. Pala
OpenCA Labs
J. Klaussner
Bundesdruckerei GmbH
S. Fluhrer
Cisco Systems

Composite ML-DSA for use in Internet PKI


This document defines Post-Quantum / Traditional composite Key Signaturem algorithms suitable for use within X.509, PKIX and CMS protocols. Composite algorithms are provided which combine ML-DSA with RSA, ECDSA, Ed25519, and Ed448. The provided set of composite algorithms should meet most X.509, PKIX, and CMS needs.

Status of This Memo

This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79.

Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet-Drafts is at

Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress."

This Internet-Draft will expire on 8 December 2024.

Table of Contents

1. Changes since adoption by the lamps working group

2. Introduction

During the transition to post-quantum cryptography, there will be uncertainty as to the strength of cryptographic algorithms; we will no longer fully trust traditional cryptography such as RSA, Diffie-Hellman, DSA and their elliptic curve variants, but we will also not fully trust their post-quantum replacements until they have had sufficient scrutiny and time to discover and fix implementation bugs. Unlike previous cryptographic algorithm migrations, the choice of when to migrate and which algorithms to migrate to, is not so clear. Even after the migration period, it may be advantageous for an entity's cryptographic identity to be composed of multiple public-key algorithms.

Cautious implementers may wish to combine cryptographic algorithms such that an attacker would need to break all of them in order to compromise the data being protected. Such mechanisms are referred to as Post-Quantum / Traditional Hybrids [I-D.driscoll-pqt-hybrid-terminology].

In particular, certain jurisdictions are recommending or requiring that PQC lattice schemes only be used within a PQ/T hybrid. As an example, we point to [BSI2021] which includes the following recommendation:

"Therefore, quantum computer-resistant methods should not be used alone - at least in a transitional period - but only in hybrid mode, i.e. in combination with a classical method. For this purpose, protocols must be modified or supplemented accordingly. In addition, public key infrastructures, for example, must also be adapted"

This specification represents the straightforward implementation of the hybrid solutions called for by European cyber security agencies.

PQ/T Hybrid cryptography can, in general, provide solutions to two migration problems:

This document defines a specific instantiation of the PQ/T Hybrid paradigm called "composite" where multiple cryptographic algorithms are combined to form a single signature such that it can be treated as a single atomic algorithm at the protocol level. Composite algorithms address algorithm strength uncertainty because the composite algorithm remains strong so long as one of its components remains strong. Concrete instantiations of composite signature algorithms are provided based on ML-DSA, RSA and ECDSA. Backwards compatibility is not directly covered in this document, but is the subject of Appendix B.2.

This document is intended for general applicability anywhere that digital signatures are used within PKIX and CMS structures. For a more detailed use-case discussion for composite signatures, the reader is encouraged to look at [I-D.vaira-pquip-pqc-use-cases]

This document attemps to bind the composite component keys together to achieve the weak non-separability property as defined in [I-D.hale-pquip-hybrid-signature-spectrums] using a label as defined in [Bindel2017].

2.1. Terminology

The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all capitals, as shown here.

The following terms are used in this document:

ALGORITHM: A standardized cryptographic primitive, as well as any ASN.1 structures needed for encoding data and metadata needed to use the algorithm. This document is primarily concerned with algorithms for producing digital signatures.

BER: Basic Encoding Rules (BER) as defined in [X.690].

CLIENT: Any software that is making use of a cryptographic key. This includes a signer, verifier, encrypter, decrypter.

COMPONENT ALGORITHM: A single basic algorithm which is contained within a composite algorithm.

COMPOSITE ALGORITHM: An algorithm which is a sequence of two component algorithms, as defined in Section 3.

DER: Distinguished Encoding Rules as defined in [X.690].

LEGACY: For the purposes of this document, a legacy algorithm is any cryptographic algorithm currently in use which is not believed to be resistant to quantum cryptanalysis.

PKI: Public Key Infrastructure, as defined in [RFC5280].

POST-QUANTUM ALGORITHM: Any cryptographic algorithm which is believed to be resistant to classical and quantum cryptanalysis, such as the algorithms being considered for standardization by NIST.

PUBLIC / PRIVATE KEY: The public and private portion of an asymmetric cryptographic key, making no assumptions about which algorithm.

SIGNATURE: A digital cryptographic signature, making no assumptions about which algorithm.

STRIPPING ATTACK: An attack in which the attacker is able to downgrade the cryptographic object to an attacker-chosen subset of original set of component algorithms in such a way that it is not detectable by the receiver. For example, substituting a composite public key or signature for a version with fewer components.

2.2. Composite Design Philosophy

[I-D.driscoll-pqt-hybrid-terminology] defines composites as:

  • Composite Cryptographic Element: A cryptographic element that incorporates multiple component cryptographic elements of the same type in a multi-algorithm scheme.

Composite keys as defined here follow this definition and should be regarded as a single key that performs a single cryptographic operation such key generation, signing, verifying, encapsulating, or decapsulating -- using its internal sequence of component keys as if they form a single key. This generally means that the complexity of combining algorithms can and should be handled by the cryptographic library or cryptographic module, and the single composite public key, private key, and ciphertext can be carried in existing fields in protocols such as PKCS#10 [RFC2986], CMP [RFC4210], X.509 [RFC5280], CMS [RFC5652], and the Trust Anchor Format [RFC5914]. In this way, composites achieve "protocol backwards-compatibility" in that they will drop cleanly into any protocol that accepts signature algorithms without requiring any modification of the protocol to handle multiple keys.

2.3. Composite Signatures

Here we define the signature mechanism in which a signature is a cryptographic primitive that consists of three algorithms:

  • KeyGen() -> (pk, sk): A probabilistic key generation algorithm, which generates a public key pk and a secret key sk.

  • Sign(sk, Message) -> (signature): A signing algorithm which takes as input a secret key sk and a Message, and outputs a signature

  • Verify(pk, Message, signature) -> true or false: A verification algorithm which takes as input a public key, a Message and signature and outputs true if the signature verifies correctly. Thus it proves the Message was signed with the secret key associated with the public key and verifies the integrity of the Message. If the signature and public key cannot verify the Message, it returns false.

A composite signature allows two underlying signature algorithms to be combined into a single cryptographic signature operation and can be used for applications that require signatures.

2.3.1. Composite KeyGen

The KeyGen() -> (pk, sk) of a composite signature algorithm will perform the KeyGen() of the respective component signature algorithms and it produces a composite public key pk as per Section 3.2 and a composite secret key sk is per Section 3.3. The component keys MUST be uniquely generated for each component key of a Composite and MUST NOT be used in any other keys or as a standalone key.

2.3.2. Composite Sign

Generation of a composite signature involves applying each component algorithm's signature process to the input message according to its specification, and then placing each component signature value into the CompositeSignatureValue structure defined in Section 4.1.

The following process is used to generate composite signature values.

Sign (sk, Message) -> (signature)
     K1, K2             Signing private keys for each component. See note below on
                        composite inputs.

     A1, A2             Component signature algorithms. See note below on
                        composite inputs.

     Message            The Message to be signed, an octet string

     HASH               The Message Digest Algorithm used for pre-hashing.  See section
                        on pre-hashing below.

     OID                The Composite Signature String Algorithm Name converted
                        from ASCII to bytes.  See section on OID concatenation

     signature          The composite signature, a CompositeSignatureValue

Signature Generation Process:

   1. Compute a Hash of the Message

         M' = HASH(Message)

   2. Generate the n component signatures independently,
      according to their algorithm specifications.

         S1 := Sign( K1, A1, DER(OID) || M' )
         S2 := Sign( K2, A2, DER(OID) || M' )

   3. Encode each component signature S1 and S2 into a BIT STRING
      according to its algorithm specification.

        signature ::= Sequence { S1, S2 }

   4. Output signature
Figure 1: Composite Sign(sk, Message)

Note on composite inputs: the method of providing the list of component keys and algorithms is flexible and beyond the scope of this pseudo-code. When passed to the Composite Sign(sk, Message) API the sk is a CompositePrivateKey. It is possible to construct a CompositePrivateKey from component keys stored in separate software or hardware keystores. Variations in the process to accommodate particular private key storage mechanisms are considered to be conformant to this document so long as it produces the same output as the process sketched above.

Since recursive composite public keys are disallowed, no component signature may itself be a composite; ie the signature generation process MUST fail if one of the private keys K1 or K2 is a composite.

A composite signature MUST produce, and include in the output, a signature value for every component key in the corresponding CompositePublicKey, and they MUST be in the same order; ie in the output, S1 MUST correspond to K1, S2 to K2.

2.3.3. Composite Verify

Verification of a composite signature involves applying each component algorithm's verification process according to its specification.

Compliant applications MUST output "Valid signature" (true) if and only if all component signatures were successfully validated, and "Invalid signature" (false) otherwise.

The following process is used to perform this verification.

Composite Verify(pk, Message, signature)
     P1, P2             Public verification keys. See note below on
                        composite inputs.

     Message            Message whose signature is to be verified,
                        an octet string.

     signature          CompositeSignatureValue containing the component
                        signature values (S1 and S2) to be verified.

     A1, A2             Component signature algorithms. See note
                        below on composite inputs.

     HASH               The Message Digest Algorithm for pre-hashing.  See
                        section on pre-hashing the message below.

     OID                The Composite Signature String Algorithm Name converted
                        from ASCII to bytes.  See section on OID concatenation

    Validity (bool)    "Valid signature" (true) if the composite
                        signature is valid, "Invalid signature"
                        (false) otherwise.

Signature Verification Procedure::
   1. Check keys, signatures, and algorithms lists for consistency.

      If Error during Desequencing, or the sequences have
      different numbers of elements, or any of the public keys
      P1 or P2 and the algorithm identifiers A1 or A2 are
      composite then output "Invalid signature" and stop.

   2. Compute a Hash of the Message

         M' = HASH(Message)

   3. Check each component signature individually, according to its
       algorithm specification.
       If any fail, then the entire signature validation fails.

       if not verify( P1, DER(OID) || M', S1, A1 ) then
            output "Invalid signature"
       if not verify( P2, DER(OID) || M', S2, A2 ) then
            output "Invalid signature"

       if all succeeded, then
        output "Valid signature"
Figure 2: Composite Verify(pk, Message, signature)

Note on composite inputs: the method of providing the list of component keys and algorithms is flexible and beyond the scope of this pseudo-code. When passed to the Composite Verify(pk, Message, signature) API the pk is a CompositePublicKey. It is possible to construct a CompositePublicKey from component keys stored in separate software or hardware keystores. Variations in the process to accommodate particular private key storage mechanisms are considered to be conformant to this document so long as it produces the same output as the process sketched above.

Since recursive composite public keys are disallowed, no component signature may itself be a composite; ie the signature generation process MUST fail if one of the private keys K1 or K2 is a composite.

2.4. OID Concatenation

As mentioned above, the OID input value for the Composite Signature Generation and verification process is the DER encoding of the OID represented in Hexidecimal bytes. The following table shows the HEX encoding for each Signature AlgorithmID

Table 1: Composite Signature OID Concatenations
Composite Signature AlgorithmID DER Encoding to be prepended to each Message
id-MLDSA44-RSA2048-PSS-SHA256 060B6086480186FA6B50080101
id-MLDSA44-RSA2048-PKCS15-SHA256 060B6086480186FA6B50080102
id-MLDSA44-Ed25519-SHA512 060B6086480186FA6B50080103
id-MLDSA44-ECDSA-P256-SHA256 060B6086480186FA6B50080104
id-MLDSA44-ECDSA-brainpoolP256r1-SHA256 060B6086480186FA6B50080105
id-MLDSA65-RSA3072-PSS-SHA512 060B6086480186FA6B50080106
id-MLDSA65-RSA3072-PKCS15-SHA512 060B6086480186FA6B50080107
id-MLDSA65-ECDSA-P256-SHA512 060B6086480186FA6B50080108
id-MLDSA65-ECDSA-brainpoolP256r1-SHA512 060B6086480186FA6B50080109
id-MLDSA65-Ed25519-SHA512 060B6086480186FA6B5008010A
id-MLDSA87-ECDSA-P384-SHA512 060B6086480186FA6B5008010B
id-MLDSA87-ECDSA-brainpoolP384r1-SHA512 060B6086480186FA6B5008010C
id-MLDSA87-Ed448-SHA512 060B6086480186FA6B5008010D

2.5. PreHashing the Message

As noted in the composite signature generation process and composite signature verification process, the Message should be pre-hashed into M' with the digest algorithm specified in the composite signature algorithm identifier. The choice of the digest algorithm was chosen with the following criteria:

  1. For composites paired with RSA or ECDSA, the hashing algorithm SHA256 or SHA512 is used as part of the RSA or ECDSA signature algorithm and is therefore also used as the composite prehashing algorithm.

  2. For ML-DSA signing a digest of the message is allowed as long as the hash function provides at least y bits of classical security strength against both collision and second preimage attacks. For MLDSA44 y is 128 bits, MLDSA65 y is 192 bits and for MLDSA87 y is 256 bits. Therefore SHA256 is paired with RSA and ECDSA with MLDSA44 and SHA512 is paired with RSA and ECDSA with MLDSA65 and MLDSA87 to match the appropriate security strength.

  3. Ed25519 [RFC8032] uses SHA512 internally, therefore SHA512 is used to pre-hash the message when Ed25519 is a component algorithm.

  4. Ed448 [RFC8032] uses SHAKE256 internally, but to reduce the set of prehashing algorihtms, SHA512 was selected to pre-hash the message when Ed448 is a component algorithm.

2.6. Algorithm Selection Criteria

The composite algorithm combinations defined in this document were chosen according to the following guidelines:

  1. A single RSA combination is provided at a key size of 3072 bits, matched with NIST PQC Level 3 algorithms.

  2. Elliptic curve algorithms are provided with combinations on each of the NIST [RFC6090], Brainpool [RFC5639], and Edwards [RFC7748] curves. NIST PQC Levels 1 - 3 algorithms are matched with 256-bit curves, while NIST levels 4 - 5 are matched with 384-bit elliptic curves. This provides a balance between matching classical security levels of post-quantum and traditional algorithms, and also selecting elliptic curves which already have wide adoption.

  3. NIST level 1 candidates are provided, matched with 256-bit elliptic curves, intended for constrained use cases.

If other combinations are needed, a separate specification should be submitted to the IETF LAMPS working group. To ease implementation, these specifications are encouraged to follow the construction pattern of the algorithms specified in this document.

The composite structures defined in this specification allow only for pairs of algorithms. This also does not preclude future specification from extending these structures to define combinations with three or more components.

3. Composite Signature Structures

In order for signatures to be composed of multiple algorithms, we define encodings consisting of a sequence of signature primitives (aka "component algorithms") such that these structures can be used as a drop-in replacement for existing signature fields such as those found in PKCS#10 [RFC2986], CMP [RFC4210], X.509 [RFC5280], CMS [RFC5652].

3.1. pk-CompositeSignature

The following ASN.1 Information Object Class is a template to be used in defining all composite Signature public key types.

pk-CompositeSignature {OBJECT IDENTIFIER:id,
    PUBLIC-KEY ::= {
        firstPublicKey BIT STRING (CONTAINING FirstPublicKeyType),
        secondPublicKey BIT STRING (CONTAINING SecondPublicKeyType)
      PARAMS ARE absent
      CERT-KEY-USAGE { digitalSignature, nonRepudiation, keyCertSign, cRLSign}

As an example, the public key type pk-MLDSA65-ECDSA-P256-SHA256 is defined as:

  pk-CompositeSignature{ id-MLDSA65-ECDSA-P256-SHA256,

The full set of key types defined by this specification can be found in the ASN.1 Module in Section 6.

3.2. CompositeSignaturePublicKey

Composite public key data is represented by the following structure:

CompositeSignaturePublicKey ::= SEQUENCE SIZE (2) OF BIT STRING

A composite key MUST contain two component public keys. The order of the component keys is determined by the definition of the corresponding algorithm identifier as defined in section Section 5.

Some applications may need to reconstruct the SubjectPublicKeyInfo objects corresponding to each component public key. Table 3 in Section 5 provides the necessary mapping between composite and their component algorithms for doing this reconstruction. This also motivates the design choice of SEQUENCE OF BIT STRING instead of SEQUENCE OF OCTET STRING; using BIT STRING allows for easier transcription between CompositeSignaturePublicKey and SubjectPublicKeyInfo.

When the CompositeSignaturePublicKey must be provided in octet string or bit string format, the data structure is encoded as specified in Section 3.4.

Component keys of a CompositeSignaturePublicKey MUST NOT be used in any other type of key or as a standalone key.

3.3. CompositeSignaturePrivateKey

Usecases that require an interoperable encoding for composite private keys, such as when private keys are carried in PKCS #12 [RFC7292], CMP [RFC4210] or CRMF [RFC4211] MUST use the following structure.

CompositeSignaturePrivateKey ::= SEQUENCE SIZE (2) OF OneAsymmetricKey

Each element is a OneAsymmetricKey` [RFC5958] object for a component private key.

The parameters field MUST be absent.

The order of the component keys is the same as the order defined in Section 3.2 for the components of CompositeSignaturePublicKey.

When a CompositeSignaturePrivateKey is conveyed inside a OneAsymmetricKey structure (version 1 of which is also known as PrivateKeyInfo) [RFC5958], the privateKeyAlgorithm field SHALL be set to the corresponding composite algorithm identifier defined according to Section 5, the privateKey field SHALL contain the CompositeSignaturePrivateKey, and the publicKey field MUST NOT be present. Associated public key material MAY be present in the CompositeSignaturePrivateKey.

In some usecases the private keys that comprise a composite key may not be represented in a single structure or even be contained in a single cryptographic module; for example if one component is within the FIPS boundary of a cryptographic module and the other is not; see {sec-fips} for more discussion. The establishment of correspondence between public keys in a CompositeSignaturePublicKey and private keys not represented in a single composite structure is beyond the scope of this document.

Component keys of a CompositeSignaturePrivateKey MUST NOT be used in any other type of key or as a standalone key.

3.4. Encoding Rules

Many protocol specifications will require that the composite public key and composite private key data structures be represented by an octet string or bit string.

When an octet string is required, the DER encoding of the composite data structure SHALL be used directly.

CompositeSignaturePublicKeyOs ::= OCTET STRING (CONTAINING CompositeSignaturePublicKey ENCODED BY der)

When a bit string is required, the octets of the DER encoded composite data structure SHALL be used as the bits of the bit string, with the most significant bit of the first octet becoming the first bit, and so on, ending with the least significant bit of the last octet becoming the last bit of the bit string.

CompositeSignaturePublicKeyBs ::= BIT STRING (CONTAINING CompositeSignaturePublicKey ENCODED BY der)

In the interests of simplicity and avoiding compatibility issues, implementations that parse these structures MAY accept both BER and DER.

3.5. Key Usage Bits

For protocols such as X.509 [RFC5280] that specify key usage along with the public key, then the composite public key associated with a composite signature MUST have a signing-type key usage. This is because the composite public key can only be used in situations that are appropriate for both component algorithms, so even if the classical component key supports both signing and encryption, the post-quantum algorithms do not.

If the keyUsage extension is present in a Certification Authority (CA) certificate that indicates a composite key, then any combination of the following values MAY be present and any other values MUST NOT be present:

keyCertSign; and

If the keyUsage extension is present in an End Entity (EE) certificate that indicates a composite key, then any combination of the following values MAY be present and any other values MUST NOT be present:

digitalSignature; and

4. Composite Signature Structures

4.1. sa-CompositeSignature

The ASN.1 algorithm object for a composite signature is:

sa-CompositeSignature {
    PUBLIC-KEY:publicKeyType }
        IDENTIFIER id
        VALUE CompositeSignatureValue
        PARAMS ARE absent
        PUBLIC-KEYS { publicKeyType }

The following is an explanation how SIGNATURE-ALGORITHM elements are used to create Composite Signatures:

Table 2
SIGNATURE-ALGORITHM element Definition
IDENTIFIER The Object ID used to identify the composite Signature Algorithm
VALUE The Sequence of BIT STRINGS for each component signature value
PARAMS Parameters are absent
PUBLIC-KEYS The composite key required to produce the composite signature

4.2. CompositeSignatureValue

The output of the composite signature algorithm is the DER encoding of the following structure:

CompositeSignatureValue ::= SEQUENCE SIZE (2) OF BIT STRING

Where each BIT STRING within the SEQUENCE is a signature value produced by one of the component keys. It MUST contain one signature value produced by each component algorithm, and in the same order as specified in the object identifier.

The choice of SEQUENCE SIZE (2) OF BIT STRING, rather than for example a single BIT STRING containing the concatenated signature values, is to gracefully handle variable-length signature values by taking advantage of ASN.1's built-in length fields.

5. Algorithm Identifiers

This section defines the algorithm identifiers for explicit combinations. For simplicity and prototyping purposes, the signature algorithm object identifiers specified in this document are the same as the composite key object Identifiers. A proper implementation should not presume that the object ID of a composite key will be the same as its composite signature algorithm.

This section is not intended to be exhaustive and other authors may define other composite signature algorithms so long as they are compatible with the structures and processes defined in this and companion public and private key documents.

Some use-cases desire the flexibility for clients to use any combination of supported algorithms, while others desire the rigidity of explicitly-specified combinations of algorithms.

The following table summarizes the details for each explicit composite signature algorithms:

The OID referenced are TBD for prototyping only, and the following prefix is used for each:

replace <CompSig> with the String "2.16.840.1.114027.80.8.1"

Therefore <CompSig>.1 is equal to 2.16.840.1.114027.

Signature public key types:

Table 3: Composite Signature Algorithms
Composite Signature AlgorithmID OID First Algorithm Second Algorithm Pre-Hash
id-MLDSA44-RSA2048-PSS-SHA256 <CompSig>.1 MLDSA44 SHA256WithRSAPSS SHA256
id-MLDSA44-RSA2048-PKCS15-SHA256 <CompSig>.2 MLDSA44 SHA256WithRSAEncryption SHA256
id-MLDSA44-Ed25519-SHA512 <CompSig>.3 MLDSA44 Ed25519 SHA512
id-MLDSA44-ECDSA-P256-SHA256 <CompSig>.4 MLDSA44 SHA256withECDSA SHA256
id-MLDSA44-ECDSA-brainpoolP256r1-SHA256 <CompSig>.5 MLDSA44 SHA256withECDSA SHA256
id-MLDSA65-RSA3072-PSS-SHA512 <CompSig>.6 MLDSA65 SHA512WithRSAPSS SHA512
id-MLDSA65-RSA3072-PKCS15-SHA512 <CompSig>.7 MLDSA65 SHA512WithRSAEncryption SHA512
id-MLDSA65-ECDSA-P256-SHA512 <CompSig>.8 MLDSA65 SHA512withECDSA SHA512
id-MLDSA65-ECDSA-brainpoolP256r1-SHA512 <CompSig>.9 MLDSA65 SHA512withECDSA SHA512
id-MLDSA65-Ed25519-SHA512 <CompSig>.10 MLDSA65 Ed25519 SHA512
id-MLDSA87-ECDSA-P384-SHA512 <CompSig>.11 MLDSA87 SHA512withECDSA SHA512
id-MLDSA87-ECDSA-brainpoolP384r1-SHA512 <CompSig>.12 MLDSA87 SHA512withECDSA SHA512
id-MLDSA87-Ed448-SHA512 <CompSig>.13 MLDSA87 Ed448 SHA512

The table above contains everything needed to implement the listed explicit composite algorithms. See the ASN.1 module in section Section 6 for the explicit definitions of the above Composite signature algorithms.

Full specifications for the referenced algorithms can be found as follows:

5.1. Notes on id-MLDSA44-RSA2048-PSS-SHA256

Use of RSA-PSS [RFC8017] deserves a special explanation.

The RSA component keys MUST be generated at the 2048-bit security level in order to match with ML-DSA-44

As with the other composite signature algorithms, when id-MLDSA44-RSA2048-PSS-SHA256 is used in an AlgorithmIdentifier, the parameters MUST be absent. id-MLDSA44-RSA2048-PSS-SHA256 SHALL instantiate RSA-PSS with the following parameters:

Table 4: RSA-PSS 2048 Parameters
RSA-PSS Parameter Value
Mask Generation Function mgf1
Mask Generation params SHA-256
Message Digest Algorithm SHA-256


  • Mask Generation Function (mgf1) is defined in [RFC8017]

  • SHA-256 is defined in [RFC6234].

5.2. Notes on id-MLDSA65-RSA3072-PSS-SHA512

The RSA component keys MUST be generated at the 3072-bit security level in order to match with ML-DSA-65.

As with the other composite signature algorithms, when id-MLDSA65-RSA3072-PSS-SHA512 is used in an AlgorithmIdentifier, the parameters MUST be absent. id-MLDSA65-RSA3072-PSS-SHA512 SHALL instantiate RSA-PSS with the following parameters:

Table 5: RSA-PSS 3072 Parameters
RSA-PSS Parameter Value
Mask Generation Function mgf1
Mask Generation params SHA-512
Message Digest Algorithm SHA-512


  • Mask Generation Function (mgf1) is defined in [RFC8017]

  • SHA-512 is defined in [RFC6234].

6. ASN.1 Module


      { joint-iso-itu-t(2) country(16) us(840) organization(1) entrust(114027)
        algorithm(80) id-composite-signatures-2023 (TBDMOD) }



    FROM AlgorithmInformation-2009  -- RFC 5912 [X509ASN1]
      { iso(1) identified-organization(3) dod(6) internet(1)
        security(5) mechanisms(5) pkix(7) id-mod(0)
        id-mod-algorithmInformation-02(58) }

    FROM PKIX1Explicit-2009
      { iso(1) identified-organization(3) dod(6) internet(1)
        security(5) mechanisms(5) pkix(7) id-mod(0)
        id-mod-pkix1-explicit-02(51) }

    FROM AsymmetricKeyPackageModuleV1
      { iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1)
        pkcs-9(9) smime(16) modules(0)
        id-mod-asymmetricKeyPkgV1(50) }

  RSAPublicKey, ECPoint
    FROM PKIXAlgs-2009
      { iso(1) identified-organization(3) dod(6)
        internet(1) security(5) mechanisms(5) pkix(7) id-mod(0)
        id-mod-pkix1-algorithms2008-02(56) }

    FROM PKIX1-PSS-OAEP-Algorithms-2009
       {iso(1) identified-organization(3) dod(6) internet(1) security(5)
       mechanisms(5) pkix(7) id-mod(0) id-mod-pkix1-rsa-pkalgs-02(54)}


-- Object Identifiers

-- Defined in ITU-T X.690
  {joint-iso-itu-t asn1(1) ber-derived(2) distinguished-encoding(1)}

-- Signature Algorithm

-- Composite Signature basic structures

CompositeSignaturePublicKey ::= SEQUENCE SIZE (2) OF BIT STRING

CompositeSignaturePublicKeyOs ::= OCTET STRING (CONTAINING
                                CompositeSignaturePublicKey ENCODED BY der)

CompositeSignaturePublicKeyBs ::= BIT STRING (CONTAINING
                                CompositeSignaturePublicKey ENCODED BY der)

CompositeSignaturePrivateKey ::= SEQUENCE SIZE (2) OF OneAsymmetricKey

CompositeSignatureValue ::= SEQUENCE SIZE (2) OF BIT STRING

-- Composite Signature Value is just a sequence of OCTET STRINGS

--   CompositeSignaturePair{FirstSignatureValue, SecondSignatureValue} ::=
--     SEQUENCE {
--      signaturevalue1 FirstSignatureValue,
--      signaturevalue2 SecondSignatureValue }

   -- An Explicit Compsite Signature is a set of Signatures which
   -- are composed of OCTET STRINGS
--   ExplicitCompositeSignatureValue ::= CompositeSignaturePair {

-- Information Object Classes

pk-CompositeSignature {OBJECT IDENTIFIER:id,
    PUBLIC-KEY ::= {
        firstPublicKey BIT STRING (CONTAINING FirstPublicKeyType),
        secondPublicKey BIT STRING (CONTAINING SecondPublicKeyType)
      PARAMS ARE absent
      CERT-KEY-USAGE { digitalSignature, nonRepudiation, keyCertSign, cRLSign}

sa-CompositeSignature{OBJECT IDENTIFIER:id,
   PUBLIC-KEY:publicKeyType }
         IDENTIFIER id
         VALUE CompositeSignatureValue
         PARAMS ARE absent
         PUBLIC-KEYS {publicKeyType}

-- TODO: OID to be replaced by IANA
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 1 }

  pk-CompositeSignature{ id-MLDSA44-RSA2048-PSS-SHA256,

       pk-MLDSA44-RSA2048-PSS-SHA256 }

-- TODO: OID to be replaced by IANA
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 2 }

  pk-CompositeSignature{ id-MLDSA44-RSA2048-PKCS15-SHA256,

       pk-MLDSA44-RSA2048-PKCS15-SHA256 }

-- TODO: OID to be replaced by IANA
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 3 }

pk-MLDSA44-Ed25519-SHA512 PUBLIC-KEY ::=
  pk-CompositeSignature{ id-MLDSA44-Ed25519-SHA512,

       pk-MLDSA44-Ed25519-SHA512 }

-- TODO: OID to be replaced by IANA
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 4 }

  pk-CompositeSignature{ id-MLDSA44-ECDSA-P256-SHA256,

       pk-MLDSA44-ECDSA-P256-SHA256 }

-- TODO: OID to be replaced by IANA
id-MLDSA44-ECDSA-brainpoolP256r1-SHA256 OBJECT IDENTIFIER ::= {
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 5 }

pk-MLDSA44-ECDSA-brainpoolP256r1-SHA256 PUBLIC-KEY ::=
  pk-CompositeSignature{ id-MLDSA44-ECDSA-brainpoolP256r1-SHA256,

       pk-MLDSA44-ECDSA-brainpoolP256r1-SHA256 }

-- TODO: OID to be replaced by IANA
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 6 }

  pk-CompositeSignature{ id-MLDSA65-RSA3072-PSS-SHA512,

       pk-MLDSA65-RSA3072-PSS-SHA512 }

-- TODO: OID to be replaced by IANA
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 7 }

  pk-CompositeSignature{ id-MLDSA65-RSA3072-PKCS15-SHA512,

       pk-MLDSA65-RSA3072-PKCS15-SHA512 }

-- TODO: OID to be replaced by IANA
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 8 }

  pk-CompositeSignature{ id-MLDSA65-ECDSA-P256-SHA512,

       pk-MLDSA65-ECDSA-P256-SHA512 }

-- TODO: OID to be replaced by IANA
id-MLDSA65-ECDSA-brainpoolP256r1-SHA512 OBJECT IDENTIFIER ::= {
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 9 }

pk-id-MLDSA65-ECDSA-brainpoolP256r1-SHA512 PUBLIC-KEY ::=
  pk-CompositeSignature{ id-MLDSA65-ECDSA-brainpoolP256r1-SHA512,

sa-id-MLDSA65-ECDSA-brainpoolP256r1-SHA512 SIGNATURE-ALGORITHM ::=
       pk-id-MLDSA65-ECDSA-brainpoolP256r1-SHA512 }

-- TODO: OID to be replaced by IANA
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 10 }

pk-MLDSA65-Ed25519-SHA512 PUBLIC-KEY ::=
  pk-CompositeSignature{ id-MLDSA65-Ed25519-SHA512,

       pk-MLDSA65-Ed25519-SHA512 }

-- TODO: OID to be replaced by IANA
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 11 }

  pk-CompositeSignature{ id-MLDSA87-ECDSA-P384-SHA512,

       pk-MLDSA87-ECDSA-P384-SHA512 }

-- TODO: OID to be replaced by IANA
id-MLDSA87-ECDSA-brainpoolP384r1-SHA512 OBJECT IDENTIFIER ::= {
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 12 }

pk-MLDSA87-ECDSA-brainpoolP384r1-SHA512 PUBLIC-KEY ::=
  pk-CompositeSignature{ id-MLDSA87-ECDSA-brainpoolP384r1-SHA512,

       pk-MLDSA87-ECDSA-brainpoolP384r1-SHA512 }

-- TODO: OID to be replaced by IANA
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 13 }

pk-MLDSA87-Ed448-SHA512 PUBLIC-KEY ::=
  pk-CompositeSignature{ id-MLDSA87-Ed448-SHA512,

       pk-MLDSA87-Ed448-SHA512 }

-- TODO: OID to be replaced by IANA
id-Falon512-ECDSA-P256-SHA256 OBJECT IDENTIFIER ::= {
   joint-iso-itu-t(2) country(16) us(840) organization(1)
   entrust(114027) algorithm(80) composite(8) signature(1) 14 }

pk-Falon512-ECDSA-P256-SHA256 PUBLIC-KEY ::=
  pk-CompositeSignature{ id-Falon512-ECDSA-P256-SHA256,

       pk-Falon512-ECDSA-P256-SHA256 }



7. IANA Considerations

IANA is requested to allocate a value from the "SMI Security for PKIX Module Identifier" registry [RFC7299] for the included ASN.1 module, and allocate values from "SMI Security for PKIX Algorithms" to identify the fourteen Algorithms defined within.

7.1. Object Identifier Allocations

EDNOTE to IANA: OIDs will need to be replaced in both the ASN.1 module and in Table 3.

7.1.1. Module Registration - SMI Security for PKIX Module Identifier

  • Decimal: IANA Assigned - Replace TBDMOD

  • Description: Composite-Signatures-2023 - id-mod-composite-signatures

  • References: This Document

7.1.2. Object Identifier Registrations - SMI Security for PKIX Algorithms

  • id-MLDSA44-RSA2048-PSS-SHA256

  • Decimal: IANA Assigned

  • Description: id-MLDSA44-RSA2048-PSS-SHA256

  • References: This Document

  • id-MLDSA44-RSA2048-PKCS15-SHA256

  • Decimal: IANA Assigned

  • Description: id-MLDSA44-RSA2048-PKCS15-SHA256

  • References: This Document

  • id-MLDSA44-Ed25519-SHA512

  • Decimal: IANA Assigned

  • Description: id-MLDSA44-Ed25519-SHA512

  • References: This Document

  • id-MLDSA44-ECDSA-P256-SHA256

  • Decimal: IANA Assigned

  • Description: id-MLDSA44-ECDSA-P256-SHA256

  • References: This Document

  • id-MLDSA44-ECDSA-brainpoolP256r1-SHA256

  • Decimal: IANA Assigned

  • Description: id-MLDSA44-ECDSA-brainpoolP256r1-SHA256

  • References: This Document

  • id-MLDSA65-RSA3072-PSS-SHA512

  • Decimal: IANA Assigned

  • Description: id-MLDSA65-RSA3072-PSS-SHA512

  • References: This Document

  • id-MLDSA65-RSA3072-PKCS15-SHA512

  • Decimal: IANA Assigned

  • Description: id-MLDSA65-RSA3072-PKCS15-SHA512

  • References: This Document

  • id-MLDSA65-ECDSA-P256-SHA512

  • Decimal: IANA Assigned

  • Description: id-MLDSA65-ECDSA-P256-SHA512

  • References: This Document

  • id-MLDSA65-ECDSA-brainpoolP256r1-SHA512

  • Decimal: IANA Assigned

  • Description: id-MLDSA65-ECDSA-brainpoolP256r1-SHA512

  • References: This Document

  • id-MLDSA65-Ed25519-SHA512

  • Decimal: IANA Assigned

  • Description: id-MLDSA65-Ed25519-SHA512

  • References: This Document

  • id-MLDSA87-ECDSA-P384-SHA512

  • Decimal: IANA Assigned

  • Description: id-MLDSA87-ECDSA-P384-SHA512

  • References: This Document

  • id-MLDSA87-ECDSA-brainpoolP384r1-SHA512

  • Decimal: IANA Assigned

  • Description: id-MLDSA87-ECDSA-brainpoolP384r1-SHA512

  • References: This Document

  • id-MLDSA87-Ed448-SHA512

  • Decimal: IANA Assigned

  • Description: id-MLDSA87-Ed448-SHA512

  • References: This Document

8. Security Considerations

8.1. Policy for Deprecated and Acceptable Algorithms

Traditionally, a public key, certificate, or signature contains a single cryptographic algorithm. If and when an algorithm becomes deprecated (for example, RSA-512, or SHA1), then clients performing signatures or verifications should be updated to adhere to appropriate policies.

In the composite model this is less obvious since implementers may decide that certain cryptographic algorithms have complementary security properties and are acceptable in combination even though one or both algorithms are deprecated for individual use. As such, a single composite public key or certificate may contain a mixture of deprecated and non-deprecated algorithms.

Since composite algorithms are registered independently of their component algorithms, their deprecation can be handled indpendently from that of their component algorithms. For example a cryptographic policy might continue to allow id-MLDSA65-ECDSA-P256-SHA512 even after ECDSA-P256 is deprecated.

When considering stripping attacks, one need consider the case where an attacker has fully compromised one of the component algorithms to the point that they can produce forged signatures that appear valid under one of the component public keys, and thus fool a victim verifier into accepting a forged signature. The protection against this attack relies on the victim verifier trusting the pair of public keys as a single composite key, and not trusting the individual component keys by themselves.

Specifically, in order to achieve this non-separability property, this specification makes two assumptions about how the verifier will establish trust in a composite public key:

  1. This specification assumes that all of the component keys within a composite key are freshly generated for the composite; ie a given public key MUST NOT appear as a component within a composite key and also within single-algorithm constructions.

  2. This specification assumes that composite public keys will be bound in a structure that contains a signature over the public key (for example, an X.509 Certificate [RFC5280]), which is chained back to a trust anchor, and where that signature algorithm is at least as strong as the composite public key that it is protecting.

There are mechanisms within Internet PKI where trusted public keys do not appear within signed structures -- such as the Trust Anchor format defined in [RFC5914]. In such cases, it is the responsibility of implementers to ensure that trusted composite keys are distributed in a way that is tamper-resistant and does not allow the component keys to be trusted independently.

9. References

9.1. Normative References

Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, , <>.
Nystrom, M. and B. Kaliski, "PKCS #10: Certification Request Syntax Specification Version 1.7", RFC 2986, DOI 10.17487/RFC2986, , <>.
Adams, C., Farrell, S., Kause, T., and T. Mononen, "Internet X.509 Public Key Infrastructure Certificate Management Protocol (CMP)", RFC 4210, DOI 10.17487/RFC4210, , <>.
Schaad, J., "Internet X.509 Public Key Infrastructure Certificate Request Message Format (CRMF)", RFC 4211, DOI 10.17487/RFC4211, , <>.
Cooper, D., Santesson, S., Farrell, S., Boeyen, S., Housley, R., and W. Polk, "Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile", RFC 5280, DOI 10.17487/RFC5280, , <>.
Turner, S., Brown, D., Yiu, K., Housley, R., and T. Polk, "Elliptic Curve Cryptography Subject Public Key Information", RFC 5480, DOI 10.17487/RFC5480, , <>.
Lochter, M. and J. Merkle, "Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation", RFC 5639, DOI 10.17487/RFC5639, , <>.
Housley, R., "Cryptographic Message Syntax (CMS)", STD 70, RFC 5652, DOI 10.17487/RFC5652, , <>.
Turner, S., "Asymmetric Key Packages", RFC 5958, DOI 10.17487/RFC5958, , <>.
McGrew, D., Igoe, K., and M. Salter, "Fundamental Elliptic Curve Cryptography Algorithms", RFC 6090, DOI 10.17487/RFC6090, , <>.
Eastlake 3rd, D. and T. Hansen, "US Secure Hash Algorithms (SHA and SHA-based HMAC and HKDF)", RFC 6234, DOI 10.17487/RFC6234, , <>.
Langley, A., Hamburg, M., and S. Turner, "Elliptic Curves for Security", RFC 7748, DOI 10.17487/RFC7748, , <>.
Josefsson, S. and I. Liusvaara, "Edwards-Curve Digital Signature Algorithm (EdDSA)", RFC 8032, DOI 10.17487/RFC8032, , <>.
Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174, , <>.
Josefsson, S. and J. Schaad, "Algorithm Identifiers for Ed25519, Ed448, X25519, and X448 for Use in the Internet X.509 Public Key Infrastructure", RFC 8410, DOI 10.17487/RFC8410, , <>.
Schaad, J. and R. Andrews, "IANA Registration for the Cryptographic Algorithm Object Identifier Range", RFC 8411, DOI 10.17487/RFC8411, , <>.
ITU-T, "Information technology - ASN.1 encoding Rules: Specification of Basic Encoding Rules (BER), Canonical Encoding Rules (CER) and Distinguished Encoding Rules (DER)", ISO/IEC 8825-1:2015, .

9.2. Informative References

French Cybersecurity Agency (ANSSI), Federal Office for Information Security (BSI), Netherlands National Communications Security Agency (NLNCSA), and Swedish National Communications Security Authority, Swedish Armed Forces, "Position Paper on Quantum Key Distribution", n.d., <>.
Bindel, N., Herath, U., McKague, M., and D. Stebila, "Transitioning to a quantum-resistant public key infrastructure", , <>.
Federal Office for Information Security (BSI), "Quantum-safe cryptography - fundamentals, current developments and recommendations", , <>.
Becker, A., Guthrie, R., and M. J. Jenkins, "Non-Composite Hybrid Authentication in PKIX and Applications to Internet Protocols", Work in Progress, Internet-Draft, draft-becker-guthrie-noncomposite-hybrid-auth-00, , <>.
D, F., "Terminology for Post-Quantum Traditional Hybrid Schemes", Work in Progress, Internet-Draft, draft-driscoll-pqt-hybrid-terminology-01, , <>.
Guthrie, R., "Hybrid Non-Composite Authentication in IKEv2", Work in Progress, Internet-Draft, draft-guthrie-ipsecme-ikev2-hybrid-auth-00, , <>.
Bindel, N., Hale, B., Connolly, D., and F. D, "Hybrid signature spectrums", Work in Progress, Internet-Draft, draft-hale-pquip-hybrid-signature-spectrums-01, , <>.
Massimo, J., Kampanakis, P., Turner, S., and B. Westerbaan, "Internet X.509 Public Key Infrastructure: Algorithm Identifiers for Dilithium", Work in Progress, Internet-Draft, draft-ietf-lamps-dilithium-certificates-01, , <>.
Massimo, J., Kampanakis, P., Turner, S., and B. Westerbaan, "Algorithms and Identifiers for Post-Quantum Algorithms", Work in Progress, Internet-Draft, draft-massimo-lamps-pq-sig-certificates-00, , <>.
Ounsworth, M. and J. Gray, "Composite KEM For Use In Internet PKI", Work in Progress, Internet-Draft, draft-ounsworth-pq-composite-kem-01, , <>.
Pala, M. and J. Klaußner, "K-threshold Composite Signatures for the Internet PKI", Work in Progress, Internet-Draft, draft-pala-klaussner-composite-kofn-00, , <>.
Vaira, A., Brockhaus, H., Railean, A., Gray, J., and M. Ounsworth, "Post-quantum cryptography use cases", Work in Progress, Internet-Draft, draft-vaira-pquip-pqc-use-cases-00, , <>.
Bassham, L., Polk, W., and R. Housley, "Algorithms and Identifiers for the Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile", RFC 3279, DOI 10.17487/RFC3279, , <>.
Moriarty, K., Ed., Nystrom, M., Parkinson, S., Rusch, A., and M. Scott, "PKCS #12: Personal Information Exchange Syntax v1.1", RFC 7292, DOI 10.17487/RFC7292, , <>.
Kaufman, C., Hoffman, P., Nir, Y., Eronen, P., and T. Kivinen, "Internet Key Exchange Protocol Version 2 (IKEv2)", STD 79, RFC 7296, DOI 10.17487/RFC7296, , <>.
Housley, R., "Object Identifier Registry for the PKIX Working Group", RFC 7299, DOI 10.17487/RFC7299, , <>.
Moriarty, K., Ed., Kaliski, B., Jonsson, J., and A. Rusch, "PKCS #1: RSA Cryptography Specifications Version 2.2", RFC 8017, DOI 10.17487/RFC8017, , <>.
Rescorla, E., "The Transport Layer Security (TLS) Protocol Version 1.3", RFC 8446, DOI 10.17487/RFC8446, , <>.
Schaad, J., Ramsdell, B., and S. Turner, "Secure/Multipurpose Internet Mail Extensions (S/MIME) Version 4.0 Message Specification", RFC 8551, DOI 10.17487/RFC8551, , <>.

Appendix A. Samples

A.1. Explicit Composite Signature Examples

A.1.1. MLDSA44-ECDSA-P256-SHA256 Public Key

-----BEGIN PUBLIC KEY----- MIIFgTANBgtghkgBhvprUAgBBAOCBW4AMIIFaQOCBSEAJaSzbEOXCT27FgXshv87 2HLTgePmYCJCH2OVUi/PB9YTyBXXnw+smoXT4w0pcq3WPs7qQXz6GKj7R0mFfTjp Rd6uH3hgdS5cbg+PwMWsRKigE6mWFpMwrliS8CfR2yYgjhRav7wGa4ja7RdmZoLz T8UBN2Yg6P/KceWA1gX6rdVUalrUvmcfR64ry06IfotXXNFwQc3vI6s7khHSUZX5 Rsw55RK3E0ElNpZxfFHv17d2xwFkGRAYqJao+qo37WtfG6Ynx4cqQyLJzlRn++5R G6K1nCwqhErpk4vDR2uHIwAPiW0StX9ZbBjO2smRTIuWS2WhmhZwJkDqSHmCiRI2 tPsxCtLpM8t2IhTVy/ObAdQGPDngTNIPH8kuoRrBhWGIiWJMlo8LkImCRt5m/8Di aL8C2BQNL+BWBBcak/JZrLkKZOZM7pFwWruHVEd0608XerfiVO3ypqAxImJ2xcdD kLys4jDlEMsC3oz4RQGXahj2Pr8Jxu8i0TIDDdV5MZw9wId/m+0/vSD8BOAu09Wu V6ppUWkDZLHlzf12zx3ZzBF/CMqZNsxMdTFNbu2qQ2/CZMlEvZ9f0gxn6qNf8NHC UqdeRr7p9z8PuGHErLHqCvQMrzia71cD4URV//SR8EUQkoo9imtw3XT2uKGUIjT/ dDyqWl8BlAZ64dUp9EWmHwG1cyKBcu2dtD0d4BMol1g4TOF7u/3hHcgOoiR+ON/3 7MoxkX9mHt6tP7hkVWy0Mb3Sjej12DG75D9z8gAzHyQhOs3suNliCzCUmUVYm5Mv WdySiuShm6yu+9Ah+GqvESuNr/h6s1gZGbdCe9llGdFPniilhL5J9oDgYMp+wi2I EeOugOFoaY1e2OI1OPjBpg1071ko9B3CGD+0PkPvKYmMGs0HTnzFWCLPj5dG2kg7 PEltarKvLVTIxrbjw03l3SXmqpNPU8SqFJ7hB3OpFJgjqL95IRTa68UM8aaUKLMa Qjjx08+e13P3wwY3niCR5U751fus4ArGLN2JgfPB7bPSdz043PIvxsCYZxUQXSW3 xWhWQqaHJLml19obvnf/tEXQZLheAr7hOEb/UTNUIBj/A6LfB0Gs012B1aXfne4W 9K/OFXc9p0C7aWIfjfMrA/idOrd1Eoo2NGLid+wp8aXyDZkCf5OUretEFHqQcQ2J znh8R4mh2Tf7hT8+Gj5Su6bZggHi9iIJZ1G7i0j4Wm3g6DJAXF6KbChMayKRunDp k6Nm5iOeTmT+Vi4OJncuI6HezZMzO2s+2iY33uDL7tFR8fVn7dQiF78c1aNhWjfm fIsLNQdZxt6orvnwSrZpdVhOtAu+vYVaEAShdHgfzvPSDHIjgyxs6mGdk0uDsGpP f5d3e9KV40rXir2OXaYMOq2KTkLb6KHHxZayLG0D9/qSBOnSE/aXNhh1cHtKeYAe jjXmfzsmgNELPNxFRrx8pEHG1Se0GJNJVZE9u6B2r9f09TgTxgPX/6XpBNUrlz21 fsIvNpRL48cwLHOCgYP/SAgE3gzRC6G5NEE19wQZHsFNGeUeGvrvUQgTyT1YwLx+ Abvp57bVjgLWli185/K1a8BmJ204RHfDhSFe7sVAIoI2pUcz7ydb178DCAvupP20 CxUIkgOk3C+cgUzTwsFU4iiix282ZBa8/nTUnH9r3IDJQJwdWtMCnByCc43UeVSh WV3isRF+ANl6lSevNj0uzGE07a5gPahctBWMmevh6qFcv5XucwNRe7en96o7CgK+ 5QNCAAReie6V/SXhsV0+AAEPt/7UjJqzbrZU1ZHKBLCDbX1cv1Zkpy+SabE2Pfpd K7SzfBpZw0txE+bjIUT4j3zjgIDa -----END PUBLIC KEY-----

A.1.2. MLDSA44-ECDSA-P256 Private Key

-----BEGIN PRIVATE KEY----- MIIP6gIBADANBgtghkgBhvprUAgBBASCD9Qwgg/QMIIPNgIBADANBgsrBgEEAQKC CwwEBASCDyAlpLNsQ5cJPbsWBeyG/zvYctOB4+ZgIkIfY5VSL88H1oyY3xD+KvF2 4bnFPT7nM4+8rPjsCuuk2PyUr7vzEHf++3ovDEFUsHo88ez4zfzBeW+Aho6yC4Gf H8BFsgVYv0HmRUPUEmVhrJUKt8VwHbOVyak7a4JWl6MWpwxnRYqso1rCcWKWZKQC bZIQQhGIKaIyZQSVRSI4bdBAShuBaQPGkBwUDgM3QQgGbhHDSBqzLQk4MooWSUk0 Zhk4JCAgUhg0ZVkkECOYTYBIMRQGjFICSaMiIYAAShMTJVAwbaFCakg0QcFCZolC CmBEUQm5cQESASEQDCSgRGAyhMQGDWOAKRkZZESiAOI0KWAWbaIkbBoUJWOiiQk5 hhBCadqGhZEYglhIQACkMJo4kmEwSIDGBYtELcCoAVuGJMPAhCOFDRE1RCSGLAq0 AAA1Cgk3CgjAZYEUKovCaBs5hti2CZO0DePECBvHZASnMdmmURsxRFA4YRxGUOSy EeEyUIA2isM0LRwJAgEAjGHGLRySJYjAgROBYQO1UUSCSRjACdg0ZAGgABQHjAkm juOUQBpEgNy0jOPGIAzETdyIhZMIMVRCZgyyRUAgLQQwcchIbFIWRswgIQHAJQMV RJgQJFqERFuiJQqjBIsChVpEMEsCKFqwCFgkciRHIcwCICKUAEgWScTESdgiYWQy MtCgIISkARMZRAg3ieMGKlBITMM2iosCgiQ2MIKiKeI2TFhGaQKWAckEJmE4hhII bSEyjQuECMlASBTBJFlIahIHaRhAAeQoMRQSDhQCcsiwYYg4BiETCAwiMRwwEcyU jAoBDgLDDJmCjZOwRECIkVQ0bdoiKgwmUlSoSFsASsOoIQNHAdSwLFG4aSMIChlB YBmmUEK0RIA4LiEmIAREJJEkIlpCJAnJDBS5bZQ2QAI2juHIKMkyihOnARlDiSQG KEJAkgijEQwZRkgCJqFIiqIWRRo5JNqCTQoXhNIihko2YCICRQvIhQuALVmIhUAQ TlRCasFAJJAQISG0ZQgTYgk0bEIiKZG0BYikBSEUYovCCBgZCgTJJNwoSFwIaMEC JBm0cUQQSMpALAKwDKEkZSOCIFySQWAAYAGYLcw4IVPIMQiYaBoijduAMVrAjCQl hdowJhpHKCCIKEMmbeEghRKiRRmgZAHAZRRDMclGICGEZKO0ReM2EFgwFoabywZ8 xF2nuUHyMuPJG+EpYRxQCAJaxByDrIGke83F1KvEG5cCOPOXhi2O7cC4sxSopILK I5bRDIFdHk15n9mCLq6w/K72nQSX4usU4izDewR/JZQZV6AR9D/yBSNyAfr50Z7U pMrfq7NZp+KstrHxs0SBDm5XNBXBaIpAwIHKkL/epe+2q2FI4Dcy1rZAQMVX80UI SmhaL1CRud4Yi1pEnPf0taOiaE8hjgQwoZ1DUl6HviFsJwaa2+y3RAjsGZuIVRTC 3nirZrYPw+dWVFWvMqvjh97SYgC7eTn2R4Xu3f/2GVaiaXgCEBhHTY5Ar8Fz6E3L MVi9hWMMF6Mj5vXcdUhwA2aeXGjnqPdtA/jmZUXQlK3NmxS4v2ga0z7wFRiv2nNF bnEGP6T/8oTcd78NrWobcQHfV3uWbbSwOhPrNgBWzuMl/FG9nMLRcQ8OZzjwxPgV PGnW0tm/g2iAG30HtuagQP7OTpibqBurtEE+liVSFgoD0or4zYhPk3mz+OMVm5/4 1DdLLTRtnq7XVTVziy2JpTJVBeF8VDh5G9gQj8iFhXCNfj5ZFNfmjaHCE2oVefc4 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A.1.3. MLDSA44-ECDSA-P256 Self-Signed X509 Certificate

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Appendix B. Implementation Considerations

B.1. FIPS certification

One of the primary design goals of this specification is for the overall composite algorithm to be able to be considered FIPS-approved even when one of the component algorithms is not.

Implementors seeking FIPS certification of a composite Signature algorithm where only one of the component algorithms has been FIPS-validated or FIPS-approved should credit the FIPS-validated component algorithm with full security strength, the non-FIPS-validated component algorith with zero security, and the overall composite should be considered at least as strong and thus FIPS-approved.

The authors wish to note that this gives composite algorithms great future utility both for future cryptographic migrations as well as bridging across jurisdictions; for example defining composite algorithms which combine FIPS cryptography with cryptography from a different national standards body.

B.2. Backwards Compatibility

The term "backwards compatibility" is used here to mean something more specific; that existing systems as they are deployed today can interoperate with the upgraded systems of the future. This draft explicitly does not provide backwards compatibility, only upgraded systems will understand the OIDs defined in this document.

If backwards compatibility is required, then additional mechanisms will be needed. Migration and interoperability concerns need to be thought about in the context of various types of protocols that make use of X.509 and PKIX with relation to digital signature objects, from online negotiated protocols such as TLS 1.3 [RFC8446] and IKEv2 [RFC7296], to non-negotiated asynchronous protocols such as S/MIME signed email [RFC8551], document signing such as in the context of the European eIDAS regulations [eIDAS2014], and publicly trusted code signing [codeSigningBRsv2.8], as well as myriad other standardized and proprietary protocols and applications that leverage CMS [RFC5652] signed structures. Composite simplifies the protocol design work because it can be implemented as a signature algorithm that fits into existing systems.

B.2.1. Hybrid Extensions (Keys and Signatures)

The use of Composite Crypto provides the possibility to process multiple algorithms without changing the logic of applications, but updating the cryptographic libraries: one-time change across the whole system. However, when it is not possible to upgrade the crypto engines/libraries, it is possible to leverage X.509 extensions to encode the additional keys and signatures. When the custom extensions are not marked critical, although this approach provides the most backward-compatible approach where clients can simply ignore the post-quantum (or extra) keys and signatures, it also requires all applications to be updated for correctly processing multiple algorithms together.

Appendix C. Intellectual Property Considerations

The following IPR Disclosure relates to this draft:

Appendix D. Contributors and Acknowledgements

This document incorporates contributions and comments from a large group of experts. The Editors would especially like to acknowledge the expertise and tireless dedication of the following people, who attended many long meetings and generated millions of bytes of electronic mail and VOIP traffic over the past few years in pursuit of this document:

Daniel Van Geest (ISARA), Britta Hale, Tim Hollebeek (Digicert), Panos Kampanakis (Cisco Systems), Richard Kisley (IBM), Serge Mister (Entrust), Francois Rousseau, Falko Strenzke, Felipe Ventura (Entrust) and Alexander Ralien (Siemens)

We are grateful to all, including any contributors who may have been inadvertently omitted from this list.

This document borrows text from similar documents, including those referenced below. Thanks go to the authors of those documents. "Copying always makes things easier and less error prone" - [RFC8411].

D.1. Making contributions

Additional contributions to this draft are welcome. Please see the working copy of this draft at, as well as open issues at:

Authors' Addresses

Mike Ounsworth
Entrust Limited
2500 Solandt Road -- Suite 100
Ottawa, Ontario K2K 3G5
John Gray
Entrust Limited
2500 Solandt Road -- Suite 100
Ottawa, Ontario K2K 3G5
Massimiliano Pala
OpenCA Labs
New York City, New York,
United States of America
Jan Klaussner
Bundesdruckerei GmbH
Kommandantenstr. 15
10969 Berlin
Scott Fluhrer
Cisco Systems