S/MIME Working Group B. Kaliski Internet Draft RSA Laboratories Document:~~draft-ietf-smime-cms-rsa-kem-00.txt May~~draft-ietf-smime-cms-rsa-kem-01.txt October2003 Category: Standards Use of the RSA-KEM Key Transport Algorithm in CMS~~<draft-ietf-smime-cms-rsa-kem-00.txt>~~<draft-ietf-smime-cms-rsa-kem-01.txt>Status of this Memo This document is an Internet-Draft and is subject to all provisions of Section 10 of RFC2026. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF), its areas, and its working groups. Note that other groups may also distribute working documents as Internet- Drafts. 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." The list of current Internet-Drafts can be accessed at http://www.ietf.org/1id-abstracts.html The list of Internet-Draft Shadow Directories can be accessed at http://www.ietf.org/shadow.html Comments or suggestions for improvement may be made on the "ietf- smime" mailing list, or directly to the author. Abstract The RSA-KEM Key Transport Algorithm is a one-pass~~(store-and- forward)~~(store-and-forward)mechanism for transporting keying data to a recipient using the recipient's RSA public key. This document specifies the conventions for using the RSA-KEM Key Transport Algorithm with the Cryptographic Message Syntax (CMS).This version (-01) updates the ASN.1 syntax to align with the latest drafts of ANS X9.44 and ISO/IEC 18033-2, and adds material on certificate conventions and S/MIME capabilities.Conventions Used in This Document The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in RFC 2119 [STDWORDS]. 1. Introduction The RSA-KEM Key Transport Algorithm is a one-pass~~(store-and- forward)~~(store-and-forward)mechanism for transporting keying data to a recipient using the recipient's RSA public key. Most previous key transport algorithms based on the RSA public-key cryptosystem (e.g., the popular PKCS #1 v1.5 algorithm [PKCS1]) have the following general form: 1. Format or "pad" the keying data to obtain an integer m. 2. Encrypt the integer m with the recipient's RSA public key: c = m^e mod n 3. Output c as the encrypted keying data. The RSA-KEM Key Transport Algorithm takes a different approach that provides higher security assurance, by encrypting a _random_ integer with the recipient's public key, and using a symmetric~~key wrapping~~key-wrappingscheme to encrypt the keying data. It has the following form: 1. Generate a random integer z between 0 and n-1. 2. Encrypt the integer z with the recipient's RSA public key: c = z^e mod n. 3. Derive a key-encrypting key KEK from the integer z. 4. Wrap the keying data using KEK to obtain wrapped keying data~~KD.~~WK.5. Output c and~~KD~~WKas the encrypted keying data. This different approach provides higher security assurance because the input to the underlying RSA operation is random and independent of the message, and the key-encrypting key KEK is derived from it in a strong way. As a result, the algorithm enjoys a "tight" security proof in the random oracle model. It is also architecturally convenient because the public-key operations are separate from the symmetric operations on the keying data. One benefit is that the length of the keying data is bounded only by the symmetric~~key~~key-wrapping scheme, not the size of the RSA modulus. The RSA-KEM Key Transport Algorithm in various forms is being adopted in several draft standards including~~ANSI~~the draft ANSX9.44~~[ANSI-X9.44]~~[ANS-X9.44]andthe draftISO/IEC 18033-2 [ISO-IEC-18033-2]. It has also been recommended by the NESSIE project [NESSIE]. Although the other standards are still in development, the algorithm is~~fairly~~stable across the drafts. For completeness, a specification of the algorithm is given in Appendix A of this document; ASN.1 syntax is given in Appendix B. NOTE: The term KEM stands for "key encapsulation mechanism" and refers to the first three steps of the process above. The formalization of key transport algorithms (or more generally, asymmetric encryption schemes) in terms of key encapsulation mechanisms is~~a result of~~described further inresearch by Victor Shoup leading to the development of the ISO/IEC 18033-2 standard [SHOUP]. 2. Use in CMS The RSA-KEM Key Transport Algorithm MAY be employed for one or more recipients in the CMS enveloped-data content type (Section 6 of [CMS]), where the keying data processed by the algorithm is the CMS content-encryption key. The RSA-KEM Key Transport Algorithm SHOULD be considered for new CMS-based applications as a replacement for the widely implemented RSA encryption algorithm specified originally in PKCS #1 v1.5 (see [PKCS1] and Section 4.2.1 of [CMSALGS]), which is vulnerable to chosen-ciphertext attacks. The RSAES-OAEP Key Transport Algorithm has also been proposed as a replacement (see [PKCS1] and [CMS- OAEP]). RSA-KEM has the advantage over RSAES-OAEP of a tighter security proof, but the disadvantage of slightly longer encrypted keying data. 2.1 Underlying Components A CMS implementation that supports the RSA-KEM Key Transport Algorithm MUST support at least the following underlying components: * For the key derivation function, KDF2 (see~~[ANSI-X9.44][IEEE-~~[ANS-X9.44][IEEE-P1363a]) based on SHA-1 (see~~[NIST-SHA2])~~[FIPS-180-2])(this function is also specified as the key derivation function in~~[ANSI-X9.63])~~[ANS-X9.63])* For the~~key wrapping~~key-wrappingscheme, AES-Wrap-128, i.e., the AES Key Wrap with a 128-bit key encrypting key (see [AES-WRAP]) An implementation SHOULD also support KDF2 based on SHA-256 (see~~[NIST-SHA2]),~~[FIPS-180-2]),and the Triple-DES Key Wrap (see [3DES-WRAP]). It MAY support other underlying components. 2.2 RecipientInfo Conventions When the RSA-KEM Key Transport Algorithm is employed for a recipient,recipient,the RecipientInfo alternative for that recipient MUST be KeyTransRecipientInfo. The algorithm-specific fields of the KeyTransRecipientInfo value MUST have the following values: * keyEncryptionAlgorithm.algorithm MUST be~~id-kts2-basic~~id-ac-generic-hybrid(see Appendix B) * keyEncryptionAlgorithm.parameters MUST be a value of type~~KTS2-Parms~~GenericHybridParameters, identifying the RSA-KEM key encapsulation mechanism(see Appendix B) * encryptedKey MUST be the encrypted keying data output by the algorithm (see Appendix A) 2.3 Certificate ConventionsThe conventions specified in this section augment RFC 3280 [PROFILE].A recipient who employs the RSA-KEM Key Transport Algorithm MAY identify the public key in a certificate by the same AlgorithmIdentifier as for the PKCS #1 v1.5 algorithm, i.e., using the rsaEncryption object identifier [PKCS1]. If the recipient wishes only to employ the RSA-KEM Key Transport Algorithm with a given public key, the recipient MUST identify the public key in the certificate using the~~id-kts2-basic~~id-ac-generic-hybridobject identifier (see Appendix B) where the~~KTS2-Params~~associated GenericHybridParametersvalue indicates the underlying components with which the algorithm is to be employed.~~[[matching rules to be added]] 2.4 SMIMECapabilities Attribute Conventions [[to be added]] 3. Security Considerations~~The~~security of~~certificate user MUST performthe RSA-KEM Key Transport~~Algorithm described~~algorithm using only those components. Regardless of the AlgorithmIdentifier used, the RSA public key is encodedin~~this document has been shown to be tightly related to~~the~~difficulty of either solving~~same manner inthesubject public key information. TheRSA~~problem or breaking~~public key MUST be encoded usingthe~~underlying symmetric~~type RSAPublicKey type: RSAPublicKey ::= SEQUENCE { modulus INTEGER, -- n publicExponent INTEGER -- e } Here, the modulus is the modulus n, and publicExponent is the public exponent e. The DER encoded RSAPublicKey is carried in the subjectPublicKey BIT STRING within the subject publickey~~wrapping scheme, if~~information. The intended application forthe~~underlying~~key~~derivation function~~MAY be indicated in the key usage certificate extension (see [PROFILE], Section 4.2.1.3). If the keyUsage extensionis~~modeled as a random oracle [SHOUP]. While~~presentin~~practice~~a~~random-oracle result does not provide~~certificate that conveysan~~actual security proof for any particular~~RSA publickey~~derivation function,~~withthe~~result does provide assurance that~~id-ac-generic-hybrid object identifier as discussed above, thenthe~~general construction is reasonable;~~key usage extension MUST contain the following value: keyEncipherment. dataEncipherment SHOULD NOT be present. That is,a key~~derivation function would need~~intendedto be~~particularly weak~~employed only with the RSA-KEM Key Transport Algorithm SHOULD NOT also be employed for data encryption. 2.4 SMIMECapabilities Attribute Conventions RFC 2633 [MSG], Section 2.5.2 defines the SMIMECapabilities signed attribute (defined as a SEQUENCE of SMIMECapability SEQUENCEs)to~~lead~~be usedto~~an attack~~specify a partial list of algorithmsthat~~is not possible in~~the~~random oracle model.~~software announcing the SMIMECapabilities can support. When constructing a signedData object, compliant software MAY include the SMIMECapabilities signed attribute announcing that it supports the RSA-KEM Key Transport algorithm. The SMIMECapability SEQUENCE representing the RSA-KEM Key Transport Algorithm MUST include the id-ac-generic-hybrid object identifier (see Appendix B) in the capabilityID field and MUST include a GenericHybridParameters value in the parameters field identifying the components with which the algorithm is to be employed. The DER encoding of a SMIMECapability SEQUENCE is the same as the DER encoding of an AlgorithmIdentifier. Example DER encodings for typical sets of components are given in Appendix B.4. 3. Security Considerations The security of the RSA-KEM Key Transport Algorithm described in this document can be shown to be tightly related to the difficulty of either solving the RSA problem or breaking the underlying symmetric key-wrapping scheme, if the underlying key derivation function is modeled as a random oracle, and assuming that the symmetric key-wrapping scheme satisfies the properties of a data encapsulation mechanism [SHOUP]. While in practice a random-oracle result does not provide an actual security proof for any particular key derivation function, the result does provide assurance that the general construction is reasonable; a key derivation function would need to be particularly weak to lead to an attack that is not possible in the random oracle model.The RSA key size and the underlying components should be selected consistent with the desired symmetric security level for an application. Several security levels have been identified in [NIST-~~GUIDELINES].~~GUIDELINE].For brevity, the first three levels are mentioned here: * 80-bit security. The RSA key size SHOULD be at least 1024 bits, the hash function underlying KDF2 SHOULD be SHA-1 or above, and the symmetric key-wrapping scheme SHOULD be AES Key Wrap or Triple-DES Key Wrap. * 112-bit security. The RSA key size SHOULD be at least 2048 bits, the hash function underlying KDF2 SHOULD be SHA-224 or above, and the symmetric key-wrapping scheme SHOULD be AES Key Wrap or Triple-DES Key Wrap. * 128-bit security. The RSA key size SHOULD be at least 3072 bits, the hash function underlying KDF2 SHOULD be SHA-256 or above, and the symmetric key-wrapping scheme SHOULD be AES Key Wrap. Note that the AES Key Wrap MAY be used at all three of these levels; the use of AES does not require a 128-bit security level for other components.Implementations MUST protect the RSA private key and the content- encryption key. Compromise of the RSA private key may result in the disclosure of all messages protected with that key. Compromise of the content-encryption key may result in disclosure of the associated encrypted content. Additional considerations related to key management may be found in [NIST-GUIDELINE].The security of the algorithm also depends on the strength of the random number generator, which SHOULD have a comparable security level. For further discussion on random number generation, please see [RANDOM]. Implementations SHOULD NOT reveal information about intermediate values or calculations, whether by timing or other "side channels", or otherwise an opponent may be able to determine information about the keying data and/or the recipient's private key. Although not all intermediate information may be useful to an opponent, it is preferable to conceal as much information as is~~it practical to,~~practical,unless analysis specifically indicates that the information would not be useful.~~Parties MAY wish to formalize~~Generally, good cryptographic practice employs a given RSA key pair in only one scheme. This practice avoidsthe~~assurance~~riskthatvulnerability inone~~another's implementations are correct through implementation~~scheme may compromise the security of the other, and may be essential to maintain provable security. While RSA public keys have often been employed for multiple purposes such as key transport and digital signature without any known bad interactions, for increased security assurance, such combined use of an RSA key pair is NOT RECOMMENDED in the future (unless the different schemes are specifically designed to be used together). Accordingly, an RSA key pair used for the RSA-KEM Key Transport Algorithm SHOULD NOT also be used for digital signatures. (Indeed, ASC X9 requires such a separation between key establishment key pairs and digital signature key pairs.) Continuing this principle of key separation, a key pair used for the RSA-KEM Key Transport Algorithm SHOULD NOT be used with other key establishment schemes, or for data encryption, or with more than one set of underlying algorithm components. Parties MAY wish to formalize the assurance that one another's implementations are correct through implementationvalidation, e.g. NIST's Cryptographic Module Validation Program (CMVP). 4. References 4.1 Normative References 3DES-WRAP Housley, R. Triple-DES and RC2 Key Wrapping. RFC 3217. December 2001. AES-WRAP Schaad, J. and R. Housley. Advanced Encryption Standard (AES) Key Wrap Algorithm. RFC 3394. September 2002.~~ANSI-X9.63~~ANS-X9.63American National Standard X9.63-2002: Public Key Cryptography for the Financial Services Industry: Key Agreement and Key Transport Using Elliptic Curve Cryptography. CMS Housley, R. Cryptographic Message Syntax. RFC 3369. August 2002. CMSALGS Housley, R. Cryptographic Message Syntax (CMS) Algorithms. RFC 3370. August 2002.~~NIST-SHA2~~FIPS-180-2National Institute of Standards and Technology (NIST). FIPS 180-2: Secure Hash Standard. August 2002.MSG Ramsdell, B. S/MIME Version 3 Message Specification. RFC 2633. June 1999. PROFILE Housley, R., Polk, W., Ford, W. and D. Solo. Internet X.509 Public Key Infrastructure: Certificate and Certificate Revocation List (CRL) Profile. RFC 3280. April 2002.STDWORDS Bradner, S. Key Words for Use in RFCs to Indicate Requirement Levels. RFC 2119. March 1997. 4.2 Informative References~~ANSI-X9.44 ANSI~~ANS-X9.44 ASCX9F1 Working Group.~~ANSI~~Draft American National StandardX9.44: Public Key Cryptography for the Financial Services Industry~~- -~~--Key Establishment Using Integer Factorization Cryptography. Draft~~D4.1, April 1,~~D6, October 15,2003. CMS-OAEP Housley, R. Use of the RSAES-OAEP Key Transport Algorithm in~~CMS. Internet Draft <draft-ietf- smime-cms-rsaes-oaep-07.txt>. December 2002.~~the Cryptographic Message Syntax (CMS). RFC 3560. July 2003.IEEE-P1363a IEEE P1363 Working Group. IEEE P1363a: Standard Specifications for Public Key Cryptography: Additional Techniques. Draft D12, May 12, 2003. Available via http://grouper.ieee.org/groups/1363. ISO-IEC-18033-2 ISO/IEC 18033-2: Information technology -- Security techniques -- Encryption algorithms~~--~~–Part 2: Asymmetric Ciphers.2ndCommittee Draft,~~December 18, 2002.~~July 10, 2003.NESSIE NESSIE Consortium. Portfolio of Recommended Cryptographic Primitives. February 27, 2003. Available via http://www.cryptonessie.org/.~~NIST-GUIDELINES~~NIST-GUIDELINENational Institute of Standards and Technology. Special Publication 800-57: Recommendation for Key Management. Part 1: General Guideline. Draft, January 2003. Available via http://csrc.nist.gov/CryptoToolkit/tkkeymgmt.html.~~NIST-SCHEMES National Institute of Standards and Technology. Special Publication 800-56: Recommendation on Key Establishment Schemes. Draft 2.0, January 2003. Available via http://csrc.nist.gov/CryptoToolkit/tkkeymgmt.html.~~PKCS1 Jonsson, J. and B. Kaliski. PKCS #1: RSA Cryptography Specifications Version 2.1. RFC 3447. February 2003. RANDOM Eastlake, D., S. Crocker, and J. Schiller. Randomness Recommendations for Security. RFC 1750. December 1994. SHOUP Shoup, V. A Proposal for an ISO Standard for Public Key Encryption. Version 2.1, December 20, 2001. Available via http://www.shoup.net/papers/. 5. IANA Considerations Within the CMS, algorithms are identified by object identifiers (OIDs).~~All~~With one exception, allof the OIDs used in this document were assigned in~~Public-Key Cryptography Standards (PKCS)~~other IETFdocuments,~~Accredited Standards Committee (ASC) X9~~in ISO/IEC standardsdocuments,~~or~~by the National Institute of Standards and Technology~~(NIST).~~(NIST), and in Public-Key Cryptography Standards (PKCS) documents. The one exception is that the ASN.1 module's identifier (see Appendix B.3) is assigned in this document.No further action by the IANA is necessary for this document or any anticipated updates. 6. Acknowledgments This document is one part of a strategy to align algorithm standards produced by ASC X9, ISO/IEC JTC1 SC27, NIST, and the IETF. I would like to thank the members of the~~ANSI~~ASCX9F1 working group for their contributions to drafts of~~ANSI~~ANSX9.44 which led to this specification. My thanks as well to Russ Housley as well for his guidance and encouragement.I also appreciate the helpful direction I've received from Blake Ramsdell and Jim Schaad in bringing this document to fruition.7.~~Author~~Author'sAddress Burt Kaliski RSA Laboratories 174 Middlesex Turnpike Bedford, MA 01730 USA bkaliski@rsasecurity.com Appendix A. RSA-KEM Key Transport Algorithm The RSA-KEM Key Transport Algorithm is a one-pass~~(store-and- forward)~~(store-and-forward)mechanism for transporting keying data to a recipient using the recipient's RSA public key. With this type of algorithm, a sender encrypts the keying data using the recipient's public key to obtain encrypted keying data. The recipient decrypts the encrypted keying data using the recipient's private key to recover the keying data. A.1 Underlying Components The algorithm has the following underlying components: * KDF, a key derivation function, which derives keying data of a specified length from a shared secret value * Wrap, a symmetric~~key wrapping~~key-wrappingscheme, which encrypts keying data using a key-encrypting key In the following, kekLen denotes the length in bytes of the key- encrypting key for the underlying symmetric key-wrapping scheme. In this scheme, the length of the keying data to be transported MUST be among the lengths supported by the underlying symmetric~~key~~key-wrapping scheme. (The AES Key Wrap, for instance, requires the length of the keying data to be a multiple of 8 bytes, and at least 16 bytes.) Usage and formatting of the keying data (e.g., parity adjustment for Triple-DES keys) is outside the scope of this algorithm. With some key derivation functions, it is possible to include other information besides the shared secret value in the input to the function. Also, with some symmetric~~key wrapping~~key-wrappingschemes, it is possible to associate a label with the keying data. Such uses are outside the scope of this document, as they are not directly supported by CMS. A.2 Sender's Operations Let (n,e) be the recipient's RSA public key (see [PKCS1] for details) and let K be the keying data to be transported. Let nLen denote the length in bytes of the modulus n, i.e., the least integer such that 2^{8*nLen} > n. The sender performs the following operations: 1. Generate a random integer z between 0 and n-1 (see Note), and convert z to a byte string Z of length nLen, most significant byte first: z = RandomInteger (0, n-1) Z = IntegerToString (z, nLen) 2. Encrypt the random integer z using the recipient's public key (n,e) and convert the resulting integer c to a ciphertext C, a byte string of length nLen: c = z^e mod n C = IntegerToString (c, nLen) 3. Derive a key-encrypting key KEK of length kekLen bytes from the byte string Z using the underlying key derivation function: KEK = KDF (Z, kekLen) 4. Wrap the keying data K~~using the underlying key wrapping scheme~~with the key-encrypting key KEKusing the underlying key-wrapping schemeto obtain wrapped keying data WK: WK = Wrap (KEK, K) 5. Concatenate the ciphertext C and the wrapped keying data WK to obtain the encrypted keying data EK: EK = C || WK 6. Output the encrypted keying data EK. NOTE: The random integer z MUST be generated independently at random for different encryption operations, whether for the same or different recipients. A.3 Recipient's Operations Let (n,d) be the recipient's RSA private key (see [PKCS1]; other private key formats are allowed) and let EK be the encrypted keying data. Let nLen denote the length in bytes of the modulus n. The recipient performs the following operations: 1. Separate the encrypted keying data EK into a ciphertext C of length nLen bytes and wrapped keying data WK: C || WK = EK If the length of the encrypted keying data is less than nLen bytes, output "decryption error" and stop. 2. Convert the ciphertext C to an integer c, most significant byte first. Decrypt the integer c using the recipient's private key (n,d) to recover an integer z (see Note): c = StringToInteger (C) z = c^d mod n If the integer c is not between 0 and n-1, output "decryption error" and stop. 3. Convert the integer z to a byte string Z of length nLen, most significant byte first (see Note): Z = IntegerToString (z, nLen) 4. Derive a key-encrypting key KEK of length kekLen bytes from the byte string Z using the underlying key derivation function (see Note): KEK = KDF (Z, kekLen) 5. Unwrap the wrapped keying data WK~~using the underlying key wrapping scheme~~with the key-encrypting key KEKusing the underlying key-wrapping schemeto recover the keying data K: K = Unwrap (KEK, WK) If the unwrapping operation outputs an error, output "decryption error" and stop. 6. Output the keying data K. NOTE: Implementations SHOULD NOT reveal information about the integer z and the string Z, nor about the calculation of the exponentiation in Step 2, the conversion in Step 3, or the key derivation in Step 4, whether by timing or other "side channels". The observable behavior of the implementation SHOULD be the same at these steps for all ciphertexts C that are in range. (For example, IntegerToString conversion should take the same amount of time regardless of the actual value of the integer z.) The integer z, the string Z and other~~intemediate~~intermediateresults MUST be securely deleted when they are no longer needed. Appendix B. ASN.1 Syntax The ASN.1 syntax for identifying the RSA-KEM Key Transport Algorithm is~~a special case~~an extensionof the syntax for~~Key Transport Scheme 2 (KTS2)~~the "generic hybrid cipher" in the draft ISO/IEC 18033-2 [ISO-IEC-18033-2], and is the same as employedin the draft~~ANSI~~ANSX9.44~~[ANSI-X9.44].~~[ANS-X9.44].The syntax for the scheme is given in Section B.1. The syntax for selected underlying components including those mentioned above is given in B.2. The following object identifier prefixes are used in the definitions below:~~x9-44~~is18033-2OID ::= { iso(1)~~identified-organization(3) tc68(133)~~standard(0) is18033(18033) part2(2) } nistAlgorithm OID ::= { joint-iso-itu-t(2)country(16)~~x9(840) x9Standards(9) x9-44(44)~~us(840) organization(1) gov(101) csor(3) nistAlgorithm(4)} pkcs-1 OID ::= { iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs-1(1) }~~nistAlgorithm OID~~NullParms is a more descriptive synonym for NULL when an algorithm identifier has null parameters: NullParms::=~~{ joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistAlgorithm(4) }~~NULLThe material in this Appendix is based on a draft standard and is SUBJECT TO CHANGE as that standard is developed. B.1 RSA-KEM Key Transport Algorithm The object identifier for the RSA-KEM Key Transport Algorithm is the same as for the~~basic KTS2 scheme~~"generic hybrid cipher"in the draft~~ANSI X9.44, id-kts2- basic,~~ANS ISO/IEC 18033-2, id-ac-generic-hybrid,which is defined in the draft as~~id-kts2-basic~~id-ac-generic-hybridOID ::= {~~x9-44 schemes(2) kts2-basic(7)~~is18033-2 asymmetric-cipher(1) generic-hybrid(2)} The associated parameters for~~id-kts2-basic~~id-ac-generic-hybridhave type~~KTS2-Parms: KTS2-Parms~~GenericHybridParameters: GenericHybridParameters::=~~SEQUENCE~~{~~kas [0] KTS2-KeyAgreementScheme, kws [1] KTS2-SymmetricKeyWrappingScheme, labelMethod [2] KTS2-LabelMethod~~kem KeyEncapsulationMechanism, dem DataEncapsulationMechanism} The fields of type~~KTS2-Parms~~GenericHybridParametershave the following meanings: *~~kas~~kemidentifies the underlying key~~agreement scheme.~~encapsulation mechanism.For the RSA-KEM Key Transport Algorithm, the scheme is~~the basic Key Agreement Scheme 1 (KAS1)~~RSA-KEMfrom the draft~~ANSI X9.44.~~ISO/IEC 18033-2.The object identifier for~~the basic KAS1~~RSA-KEM (as a key encapsulation mechanism)is~~id-kas1-basic,~~id-kem-rsa,which is defined in the draft~~ANSI X9.44~~ISO/IEC 18033-2as~~id-kas1-basic~~id-kem-rsaOID ::= {~~x9-44 schemes(2) kas1-basic(1)~~is18033-2 key-encapsulation-mechanism(2) rsa(4)} The associated parameters for~~id-kas1-basic~~id-kem-rsahave type~~KAS1- Parms: KAS1-Parms~~RsaKemParameters: RsaKemParameters::=~~SEQUENCE~~{~~sves [0] KAS1-SecretValueEncapsulationScheme, kdf [1] KAS1-KeyDerivationFunction, otherInfoMethod [2] KAS1-OtherInfoMethod~~keyDerivationFunction KeyDerivationFunction, keyLength KeyLength} The fields of type~~KAS1-Parms~~RsaKemParametershave the following meanings: *~~sves identifies the underlying secret-value encapsulation mechanism. (In the draft ANSI X9.44, the term "Secret Value Encapsulation Scheme" refers to the first _two_ steps of the RSA-KEM Key Transport Algorithm, which are separated from the key derivation function for architectural reasons.) For the RSA-KEM Key Transport Algorithm, the mechanism is RSASVES1 from the draft ANSI X9.44. The object identifier for RSASVES1 is id-rsasves1, which is defined in the draft ANSI X9.44 as id-rsasves1 OID ::= { x9-44 components(1) rsasves1(2) } This object identifier has no associated parameters. * kdf~~keyDerivationFunctionidentifies the underlying key derivation function. For alignment with the draft~~ANSI~~ANSX9.44, it MUST be KDF2. However, other key derivation functions MAY be used with CMS. Please see B.2.1 for the syntax for KDF2.~~KAS1-KeyDerivationFunction~~KeyDerivationFunction::= AlgorithmIdentifier~~* otherInfoMethod specifies the method for formatting other information to be included in the input to the key derivation function. For this version of the document, the method MUST be the "specified other information" method. KAS1-OtherInfoMethod~~{{KDFAlgorithms}} KDFAlgorithms ALGORITHMS::=~~AlgorithmIdentifier The object identifier for the "specified~~{ kdf2, ... -- implementations may defineother~~information" method~~methods } * keyLengthis~~id-specifiedOtherInfo: id-specifiedOtherInfo OID ::= [[to be defined]] The associated parameters for id-specifiedOtherInfo have type SpecifiedOtherInfo: SpecifiedOtherInfo ::= OCTET STRING SIZE((0..MAX)) For this version of the document,~~the~~value~~length in bytesof the~~other information MUST be~~key-encrypting key, which depends onthe~~empty string.~~underlying symmetric key- wrapping scheme. KeyLength ::= INTEGER (1..MAX)*~~kws~~demidentifies the underlying~~symmetric key-wrapping scheme.~~data encapsulation mechanism.For alignment with the draft~~ANSI~~ANSX9.44, it MUST be an X9- approved symmetric key-wrapping scheme. (See Note.) However, othersymmetric key-wrappingschemes MAY be used with CMS. Please see B.2.2 for the syntax for the AES and Triple-DES Key Wraps.~~KTS2-SymmetricKeyWrappingScheme~~DataEncapsulationMechanism::= AlgorithmIdentifier~~* labelMethod specifies the method~~{{DEMAlgorithms}} DEMAlgorithms ALGORITHM ::= { X9-SymmetricKeyWrappingSchemes, ... -- implementations may define other methods } X9-SymmetricKeyWrappingSchemes ALGORITHM ::= { aes128-Wrap | aes192-Wrap | aes256-Wrap | tdes-Wrap, ... -- allowsfor~~formatting a label to be associated with the keying data. For this version of the document, the method MUST be the "specified label" method. KTS2-LabelMethod ::= AlgorithmIdentifier The object identifier for the "specified label" method is id- specifiedLabel, which is defined in~~future expansion } NOTE: The generic hybrid cipher inthe draft~~ANSI X9.44 as id-specifiedLabel OID ::= { pkcs-1 specifiedLabel(9) } The associated parameters for id-specifiedLabel have type SpecifiedLabel: SpecifiedLabel ::= OCTET STRING SIZE((0..MAX)) For this version of the document, the value of~~ISO/IEC 18033-2 can encrypt arbitrary data, hencethe~~label MUST be~~term "data encapsulation mechanism". The symmetric key-wrapping schemes takethe~~empty string. NOTE: As~~roleof~~this writing, the AES Key Wrap and the Triple-DES Key Wrap are~~data encapsulation mechanismsin the~~process~~RSA-KEM Key Transport Algorithm. The draft ISO/IEC 18033-2 currently allows only three particular data encapsulation mechanisms, not including anyof~~being approved by X9. DISCUSSION TOPIC: In NIST's key establishment schemes recommendation [NIST-SCHEMES],~~these symmetric key- wrapping schemes. However,the~~parties' names are included~~ASN.1 syntaxin~~the "other information" for key derivation. Should they~~that document expects that additional algorithms willbe~~included here as well?~~allowed.B.2 Selected Underlying Components B.2.1 Key Derivation Functions The object identifier for KDF2 (see~~[ANSI-X9.44])~~[ISO-IEC-18033-2])is~~id-kdf2~~id-kdf-kdf2OID ::= {~~x9-44 components(1) kdf2(1)~~is18033-2 key-derivation-functions(5) kdf2(2)} The associated parameters identify the underlying hash function. For alignment with the draft~~ANSI~~ANSX9.44, the hash function MUST be anASCX9-approved hash function. (See Note.) However, other hash functions MAY be used with CMS.~~KDF2-Parms~~kdf2 ALGORITHM ::= {{ OID id-kdf-kdf2 PARMS KDF2-HashFunction }} KDF2-HashFunction::= AlgorithmIdentifier{{KDF2-HashFunctions}} KDF2-HashFunctions ALGORITHM ::= { X9-HashFunctions, ... -- implementations may define other methods } X9-HashFunctions ALGORITHM ::= { sha1 | sha224 | sha256 | sha384 | sha512, ... -- allows for future expansion }The object identifier for SHA-1 is id-sha1 OID ::= { iso(1) identified-organization(3) oiw(14) secsig(3) algorithms(2) sha1(26) } The object identifiers for SHA-256, SHA-384 and SHA-512 are id-sha256 OID ::= { nistAlgorithm hashAlgs(2) sha256(1) } id-sha384 OID ::= { nistAlgorithm hashAlgs(2) sha384(2) } id-sha512 OID ::= { nistAlgorithm hashAlgs(2) sha512(3) } There has been some confusion over whether the various SHA object identifiers have a NULL parameter, or no associated parameters. As also discussed in [PKCS1], implementations SHOULD generate algorithm identifiers without parameters, and MUST accept algorithm identifiers either without parameters, or with NULL parameters.sha1 ALGORITHM ::= {{ OID id-sha1 }} -- NULLParms MUST be sha224 ALGORITHM ::= {{ OID id-sha224 }} -- accepted for these sha256 ALGORITHM ::= {{ OID id-sha256 }} -- OIDs sha384 ALGORITHM ::= {{ OID id-sha384 }} –- "" sha512 ALGORITHM ::= {{ OID id-sha512 }} –- ""NOTE: As of this writing, only SHA-1 is anASCX9-approved hash function; SHA-224 and above are in the process of being approved. The object identifier for SHA-224 has not yet been assigned. B.2.2 Symmetric~~Key Wrapping~~Key-WrappingSchemes The object~~identifier~~identifiersfor the AES Key Wrap depends on the size of the key encrypting key. There are three object identifiers (see [AES-WRAP]): id-aes128-Wrap OID ::= { nistAlgorithm aes(1) aes128-Wrap(5) } id-aes192-Wrap OID ::= { nistAlgorithm aes(1) aes192-Wrap(25) } id-aes256-Wrap OID ::= { nistAlgorithm aes(1) aes256-Wrap(45) } These object identifiers have no associated parameters.aes128-Wrap ALGORITHM ::= {{ OID id-aes128-wrap }} aes192-Wrap ALGORITHM ::= {{ OID id-aes192-wrap }} aes256-Wrap ALGORITHM ::= {{ OID id-aes256-wrap }}The object identifier for the Triple-DES Key Wrap (see [3DES-WRAP]) is id-alg-CMS3DESwrap OBJECT IDENTIFIER ::= { iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs-9(9) smime(16) alg(3) 6 } This object identifier has a NULL parameter.~~B.3 Example~~tdes-Wrap ALGORITHM ::= {{ OID id-alg-CMS3DESwrap PARMS NullParms }} NOTE:As~~an example, if the key derivation function is KDF2 based on SHA-1 and the symmetric key wrapping scheme is~~of this writing,the AES Key Wrap~~with a 128-bit KEK, the AlgorithmIdentifier for~~andthe~~RSA-KEM~~Triple-DESKey~~Transport Algorithm will have~~Wrap are inthe~~following value: SEQUENCE~~process of being approved by ASC X9. B.3 ASN.1 module CMS-RSA-KEM{~~id-kts2-basic,~~iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs-9(9) smime(16) modules(0) cms-rsa-kem(21) } [[check]] BEGIN--~~basic KTS2 SEQUENCE {~~EXPORTS ALL--~~KTS2-Parms [0] SEQUENCE {~~IMPORTS None--~~key agreement scheme id-kas1-basic,~~Useful types and definitions OID ::= OBJECT IDENTIFIER--~~basic KAS1 SEQUENCE {~~alias--~~KAS1-Parms [0] SEQUENCE {~~Unless otherwise stated, if an object identifier has associated--~~secret value encapsulation scheme id-rsasves1~~parameters (i.e., the PARMS element is specified), the parameters -- field shall be included in algorithm identifier values. The--~~RSASVES1; no~~parameters~~}, [1]~~field shall be omitted if and only if the object -- identifier does not have associated parameters (i.e., the PARMS -- element is omitted), unless otherwise stated. ALGORITHM ::= CLASS { &id OBJECT IDENTIFIER UNIQUE, &Type OPTIONAL } WITH SYNTAX { OID &id [PARMS &Type] } AlgorithmIdentifier { ALGORITHM:IOSet } ::=SEQUENCE {algorithm ALGORITHM.&id( {IOSet} ), parameters ALGORITHM.&Type( {IOSet}{@algorithm} ) OPTIONAL } NullParms ::= NULL--~~key derivation function id-kdf2,~~ISO/IEC 18033-2 arc is18033-2 OID ::= { iso(1) standard(0) is18033(18033) part2(2) }--~~KDF2 SEQUENCE~~NIST algorithm arc nistAlgorithm OID ::={joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistAlgorithm(4) }--~~KDF2-Parms id-sha1~~PKCS #1 arc pkcs-1 OID ::= { iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs-1(1) }--~~no parameters (preferred)~~RSA-KEM Key Transport Algorithm, based on Generic Hybrid Cipher id-ac-generic-hybrid OID ::= { is18033-2 asymmetric-cipher(1) generic-hybrid(2)}~~}, [2] SEQUENCE~~GenericHybridParameters ::= { kem KeyEncapsulationMechanism, dem DataEncapsulationMechanism } id-kem-rsa OID ::= { is18033-2 key-encapsulation-mechanism(2) rsa(4) } RsaKemParameters ::={keyDerivationFunction KeyDerivationFunction, keyLength KeyLength } KeyDerivationFunction ::= AlgorithmIdentifier {{KDFAlgorithms}} KDFAlgorithms ALGORITHMS ::= { kdf2, ...--implementations may defineother~~information method id-specifiedOtherInfo,~~methods } KeyLength ::= INTEGER (1..MAX) DataEncapsulationMechanism ::= AlgorithmIdentifier {{DEMAlgorithms}} DEMAlgorithms ALGORITHM ::= { X9-SymmetricKeyWrappingSchemes, ...--~~specified~~implementations may defineother~~info. ''H~~methods } X9-SymmetricKeyWrappingSchemes ALGORITHM ::= { aes128-Wrap | aes192-Wrap | aes256-Wrap | tdes-Wrap, ...--~~empty string~~allows for future expansion}-- Key Derivation Functions id-kdf-kdf2 OID ::= { is18033-2 key-derivation-functions(5) kdf2(2)}~~}, [1] SEQUENCE~~kdf2 ALGORITHM ::= {{ OID id-kdf-kdf2 PARMS KDF2-HashFunction }} KDF2-HashFunction ::= AlgorithmIdentifier {{KDF2-HashFunctions}} KDF2-HashFunctions ALGORITHM ::={X9-HashFunctions, ...--~~symmetric~~implementations may define other methods } -- Hash Functions X9-HashFunctions ALGORITHM ::= { sha1 | sha224 | sha256 | sha384 | sha512, ... -- allows for future expansion } id-sha1 OID ::= { iso(1) identified-organization(3) oiw(14) secsig(3) algorithms(2) sha1(26) } id-sha256 OID ::= { nistAlgorithm hashAlgs(2) sha256(1) } id-sha384 OID ::= { nistAlgorithm hashAlgs(2) sha384(2) } id-sha512 OID ::= { nistAlgorithm hashAlgs(2) sha512(3) } sha1 ALGORITHM ::= {{ OID id-sha1 }} -- NullParms MUST be sha224 ALGORITHM ::= {{ OID id-sha224 }} -- accepted for these sha256 ALGORITHM ::= {{ OID id-sha256 }} -- OIDs sha384 ALGORITHM ::= {{ OID id-sha384 }} –- "" sha512 ALGORITHM ::= {{ OID id-sha512 }} –- "" -- Symmetric Key-Wrapping Schemes id-aes128-Wrap OID ::= { nistAlgorithm aes(1) aes128-Wrap(5) } id-aes192-Wrap OID ::= { nistAlgorithm aes(1) aes192-Wrap(25) } id-aes256-Wrap OID ::= { nistAlgorithm aes(1) aes256-Wrap(45) } aes128-Wrap ALGORITHM ::= {{ OID id-aes128-wrap }} aes192-Wrap ALGORITHM ::= {{ OID id-aes192-wrap }} aes256-Wrap ALGORITHM ::= {{ OID id-aes256-wrap }} id-alg-CMS3DESwrap OBJECT IDENTIFIER ::= { iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs-9(9) smime(16) alg(3) 6 } tdes-Wrap ALGORITHM ::= {{ OID id-alg-CMS3DESwrap PARMS NullParms }} B.4 Examples As an example, if thekey~~wrapping~~derivation function is KDF2 based on SHA-256 and the symmetric key-wrappingscheme~~id-aes128-Wrap~~is the AES Key Wrap with a 128-bit KEK, the AlgorithmIdentifier for the RSA-KEM Key Transport Algorithm will have the following value: SEQUENCE { id-ac-generic-hybrid,--~~AES-128 Wrap;~~generic cipher SEQUENCE { -- GenericHybridParameters SEQUENCE { -- key encapsulation mechanism id-kem-rsa, -- RSA-KEM SEQUENCE { -- RsaKemParameters SEQUENCE { -- key derivation function id-kdf-kdf2, -- KDF2 SEQUENCE { -- KDF2-HashFunction id-sha256 -- SHA-256;no parameters(preferred) }, 16 -- KEK length in bytes},~~[2]~~SEQUENCE { --~~label method id-specifiedLabel, -- specified label ''H~~data encapsulation mechanism id-aes128-Wrap--~~empty string~~AES-128 Wrap; no parameters} } }This AlgorithmIdentifier value has the following DER encoding: 30 4f 06 07 28 81 8c 71 02 01 02 -- id-ac-generic-hybrid 30 44 30 25 06 07 28 81 8c 71 02 02 04 -- id-kem-rsa 30 1a 30 16 06 07 28 81 8c 71 02 05 02 -- id-kdf-kdf2 30 0b 06 09 60 86 48 01 65 03 04 02 01 -- id-sha256 02 10 -- 16 bytes 30 0b 06 09 60 86 48 01 65 03 04 01 05 -- id-aes128-Wrap The DER encodings for other typical sets of underlying components are as follows: * KDF2 based on SHA-384, AES Key Wrap with a 192-bit KEK 30 4f 06 07 28 81 8c 71 02 01 02 30 44 30 25 06 07 28 81 8c 71 02 02 04 30 1a 30 16 06 07 28 81 8c 71 02 05 02 30 0b 06 09 60 86 48 01 65 03 04 02 02 02 18 30 0b 06 09 60 86 48 01 65 03 04 01 19 * KDF2 based on SHA-512, AES Key Wrap with a 256-bit KEK 30 4f 06 07 28 81 8c 71 02 01 02 30 44 30 25 06 07 28 81 8c 71 02 02 04 30 1a 30 16 06 07 28 81 8c 71 02 05 02 30 0b 06 09 60 86 48 01 65 03 04 02 03 02 20 30 0b 06 09 60 86 48 01 65 03 04 01 2d * KDF2 based on SHA-1, Triple-DES Key Wrap with a 128-bit KEK (two-key triple-DES) 30 4f 06 07 28 81 8c 71 02 01 02 30 44 30 21 06 07 28 81 8c 71 02 02 04 30 16 30 12 06 07 28 81 8c 71 02 05 02 30 07 06 05 2b 0e 03 02 1a 02 10 30 0f 06 0b 2a 86 48 86 f7 0d 01 09 10 03 06 05 00 * KDF2 based on SHA-224, Triple-DES Key Wrap with a 192-bit KEK (three-key triple-DES) [[to be defined, awaiting OID for SHA-224]]Full Copyright Statement Copyright (C) The Internet Society (2003). 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