📄 rfc3279.txt
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-- recognized field type OIDs are defined in the following arc
id-fieldType OBJECT IDENTIFIER ::= { ansi-X9-62 fieldType(1) }
-- where fieldType is prime-field, the parameters are of type Prime-p
prime-field OBJECT IDENTIFIER ::= { id-fieldType 1 }
Prime-p ::= INTEGER -- Finite field F(p), where p is an odd prime
-- where fieldType is characteristic-two-field, the parameters are
-- of type Characteristic-two
characteristic-two-field OBJECT IDENTIFIER ::= { id-fieldType 2 }
Characteristic-two ::= SEQUENCE {
m INTEGER, -- Field size 2^m
basis OBJECT IDENTIFIER,
parameters ANY DEFINED BY basis }
-- recognized basis type OIDs are defined in the following arc
id-characteristic-two-basis OBJECT IDENTIFIER ::= {
characteristic-two-field basisType(3) }
-- gnbasis is identified by OID gnBasis and indicates
-- parameters are NULL
gnBasis OBJECT IDENTIFIER ::= { id-characteristic-two-basis 1 }
-- parameters for this basis are NULL
-- trinomial basis is identified by OID tpBasis and indicates
-- parameters of type Pentanomial
tpBasis OBJECT IDENTIFIER ::= { id-characteristic-two-basis 2 }
Polk, et al. Standards Track [Page 21]
RFC 3279 Algorithms and Identifiers April 2002
-- Trinomial basis representation of F2^m
-- Integer k for reduction polynomial xm + xk + 1
Trinomial ::= INTEGER
-- for pentanomial basis is identified by OID ppBasis and indicates
-- parameters of type Pentanomial
ppBasis OBJECT IDENTIFIER ::= { id-characteristic-two-basis 3 }
-- Pentanomial basis representation of F2^m
-- reduction polynomial integers k1, k2, k3
-- f(x) = x**m + x**k3 + x**k2 + x**k1 + 1
Pentanomial ::= SEQUENCE {
k1 INTEGER,
k2 INTEGER,
k3 INTEGER }
-- The object identifiers gnBasis, tpBasis and ppBasis name
-- three kinds of basis for characteristic-two finite fields
FieldElement ::= OCTET STRING -- Finite field element
ECPoint ::= OCTET STRING -- Elliptic curve point
-- Elliptic Curve parameters may be specified explicitly,
-- specified implicitly through a "named curve", or
-- inherited from the CA
EcpkParameters ::= CHOICE {
ecParameters ECParameters,
namedCurve OBJECT IDENTIFIER,
implicitlyCA NULL }
ECParameters ::= SEQUENCE { -- Elliptic curve parameters
version ECPVer,
fieldID FieldID,
curve Curve,
base ECPoint, -- Base point G
order INTEGER, -- Order n of the base point
cofactor INTEGER OPTIONAL } -- The integer h = #E(Fq)/n
ECPVer ::= INTEGER {ecpVer1(1)}
Polk, et al. Standards Track [Page 22]
RFC 3279 Algorithms and Identifiers April 2002
Curve ::= SEQUENCE {
a FieldElement, -- Elliptic curve coefficient a
b FieldElement, -- Elliptic curve coefficient b
seed BIT STRING OPTIONAL }
id-publicKeyType OBJECT IDENTIFIER ::= { ansi-X9-62 keyType(2) }
id-ecPublicKey OBJECT IDENTIFIER ::= { id-publicKeyType 1 }
-- Named Elliptic Curves in ANSI X9.62.
ellipticCurve OBJECT IDENTIFIER ::= { ansi-X9-62 curves(3) }
c-TwoCurve OBJECT IDENTIFIER ::= {
ellipticCurve characteristicTwo(0) }
c2pnb163v1 OBJECT IDENTIFIER ::= { c-TwoCurve 1 }
c2pnb163v2 OBJECT IDENTIFIER ::= { c-TwoCurve 2 }
c2pnb163v3 OBJECT IDENTIFIER ::= { c-TwoCurve 3 }
c2pnb176w1 OBJECT IDENTIFIER ::= { c-TwoCurve 4 }
c2tnb191v1 OBJECT IDENTIFIER ::= { c-TwoCurve 5 }
c2tnb191v2 OBJECT IDENTIFIER ::= { c-TwoCurve 6 }
c2tnb191v3 OBJECT IDENTIFIER ::= { c-TwoCurve 7 }
c2onb191v4 OBJECT IDENTIFIER ::= { c-TwoCurve 8 }
c2onb191v5 OBJECT IDENTIFIER ::= { c-TwoCurve 9 }
c2pnb208w1 OBJECT IDENTIFIER ::= { c-TwoCurve 10 }
c2tnb239v1 OBJECT IDENTIFIER ::= { c-TwoCurve 11 }
c2tnb239v2 OBJECT IDENTIFIER ::= { c-TwoCurve 12 }
c2tnb239v3 OBJECT IDENTIFIER ::= { c-TwoCurve 13 }
c2onb239v4 OBJECT IDENTIFIER ::= { c-TwoCurve 14 }
c2onb239v5 OBJECT IDENTIFIER ::= { c-TwoCurve 15 }
c2pnb272w1 OBJECT IDENTIFIER ::= { c-TwoCurve 16 }
c2pnb304w1 OBJECT IDENTIFIER ::= { c-TwoCurve 17 }
c2tnb359v1 OBJECT IDENTIFIER ::= { c-TwoCurve 18 }
c2pnb368w1 OBJECT IDENTIFIER ::= { c-TwoCurve 19 }
c2tnb431r1 OBJECT IDENTIFIER ::= { c-TwoCurve 20 }
primeCurve OBJECT IDENTIFIER ::= { ellipticCurve prime(1) }
prime192v1 OBJECT IDENTIFIER ::= { primeCurve 1 }
prime192v2 OBJECT IDENTIFIER ::= { primeCurve 2 }
prime192v3 OBJECT IDENTIFIER ::= { primeCurve 3 }
prime239v1 OBJECT IDENTIFIER ::= { primeCurve 4 }
prime239v2 OBJECT IDENTIFIER ::= { primeCurve 5 }
prime239v3 OBJECT IDENTIFIER ::= { primeCurve 6 }
prime256v1 OBJECT IDENTIFIER ::= { primeCurve 7 }
END
Polk, et al. Standards Track [Page 23]
RFC 3279 Algorithms and Identifiers April 2002
4 References
[FIPS 180-1] Federal Information Processing Standards Publication
(FIPS PUB) 180-1, Secure Hash Standard, 17 April 1995.
[Supersedes FIPS PUB 180 dated 11 May 1993.]
[FIPS 186-2] Federal Information Processing Standards Publication
(FIPS PUB) 186, Digital Signature Standard, 27 January
2000. [Supersedes FIPS PUB 186-1 dated 15 December
1998.]
[P1363] IEEE P1363, "Standard Specifications for Public-Key
Cryptography", 2001.
[RC95] Rogier, N. and Chauvaud, P., "The compression function
of MD2 is not collision free," Presented at Selected
Areas in Cryptography '95, May 1995.
[RFC 1034] Mockapetris, P., "Domain Names - Concepts and
Facilities", STD 13, RFC 1034, November 1987.
[RFC 1319] Kaliski, B., "The MD2 Message-Digest Algorithm", RFC
1319, April 1992.
[RFC 1321] Rivest, R., "The MD5 Message-Digest Algorithm", RFC
1321, April 1992.
[RFC 1422] Kent, S., "Privacy Enhancement for Internet Electronic
Mail: Part II: Certificate-Based Key Management", RFC
1422, February 1993.
[RFC 1423] Balenson, D., "Privacy Enhancement for Internet
Electronic Mail: Part III: Algorithms, Modes, and
Identifiers", RFC 1423, February 1993.
[RFC 2119] Bradner, S., "Key Words for Use in RFCs to Indicate
Requirement Levels", BCP 14, RFC 2119, March 1997.
[RFC 2313] Kaliski, B., "PKCS #1: RSA Encryption Version 1.5",
RFC 2313, March 1998.
[RFC 2459] Housley, R., Ford, W., Polk, W. and D. Solo "Internet
X.509 Public Key Infrastructure: Certificate and CRL
Profile", RFC 2459, January, 1999.
[RFC 3174] Eastlake, D. and P. Jones, "US Secure Hash Algorithm 1
(SHA1)", RFC 3174, September 2001.
Polk, et al. Standards Track [Page 24]
RFC 3279 Algorithms and Identifiers April 2002
[RFC 3280] 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.
[SDN.701r] SDN.701, "Message Security Protocol 4.0", Revision A
1997-02-06.
[X.208] CCITT Recommendation X.208: Specification of Abstract
Syntax Notation One (ASN.1), 1988.
[X.660] ITU-T Recommendation X.660 Information Technology -
ASN.1 encoding rules: Specification of Basic Encoding
Rules (BER), Canonical Encoding Rules (CER) and
Distinguished Encoding Rules (DER), 1997.
[X9.42] ANSI X9.42-2000, "Public Key Cryptography for The
Financial Services Industry: Agreement of Symmetric
Keys Using Discrete Logarithm Cryptography", December,
1999.
[X9.62] X9.62-1998, "Public Key Cryptography For The Financial
Services Industry: The Elliptic Curve Digital
Signature Algorithm (ECDSA)", January 7, 1999.
[X9.63] ANSI X9.63-2001, "Public Key Cryptography For The
Financial Services Industry: Key Agreement and Key
Transport Using Elliptic Curve Cryptography", Work in
Progress.
5 Security Considerations
This specification does not constrain the size of public keys or
their parameters for use in the Internet PKI. However, the key size
selected impacts the strength achieved when implementing
cryptographic services. Selection of appropriate key sizes is
critical to implementing appropriate security.
This specification does not identify particular elliptic curves for
use in the Internet PKI. However, the particular curve selected
impact the strength of the digital signatures. Some curves are
cryptographically stronger than others!
In general, use of "well-known" curves, such as the "named curves"
from ANSI X9.62, is a sound strategy. For additional information,
refer to X9.62 Appendix H.1.3, "Key Length Considerations" and
Appendix A.1, "Avoiding Cryptographically Weak Keys".
Polk, et al. Standards Track [Page 25]
RFC 3279 Algorithms and Identifiers April 2002
This specification supplements RFC 3280. The security considerations
section of that document applies to this specification as well.
6 Intellectual Property Rights
The IETF has been notified of intellectual property rights claimed in
regard to some or all of the specification contained in this
document. For more information consult the online list of claimed
rights.
The IETF takes no position regarding the validity or scope of any
intellectual property or other rights that might be claimed to
pertain to the implementation or use of the technology described in
this document or the extent to which any license under such rights
might or might not be available; neither does it represent that it
has made any effort to identify any such rights. Information on the
IETF's procedures with respect to rights in standards-track and
standards- related documentation can be found in BCP-11. Copies of
claims of rights made available for publication and any assurances of
licenses to be made available, or the result of an attempt made to
obtain a general license or permission for the use of such
proprietary rights by implementors or users of this specification can
be obtained from the IETF Secretariat.
7 Author Addresses:
Tim Polk
NIST
100 Bureau Drive, Stop 8930
Gaithersburg, MD 20899-8930
USA
EMail: tim.polk@nist.gov
Russell Housley
RSA Laboratories
918 Spring Knoll Drive
Herndon, VA 20170
USA
EMail: rhousley@rsasecurity.com
Larry Bassham
NIST
100 Bureau Drive, Stop 8930
Gaithersburg, MD 20899-8930
USA
EMail: lbassham@nist.gov
Polk, et al. Standards Track [Page 26]
RFC 3279 Algorithms and Identifiers April 2002
8. Full Copyright Statement
Copyright (C) The Internet Society (2002). All Rights Reserved.
This document and translations of it may be copied and furnished to
others, and derivative works that comment on or otherwise explain it
or assist in its implementation may be prepared, copied, published
and distributed, in whole or in part, without restriction of any
kind, provided that the above copyright notice and this paragraph are
included on all such copies and derivative works. However, this
document itself may not be modified in any way, such as by removing
the copyright notice or references to the Internet Society or other
Internet organizations, except as needed for the purpose of
developing Internet standards in which case the procedures for
copyrights defined in the Internet Standards process must be
followed, or as required to translate it into languages other than
English.
The limited permissions granted above are perpetual and will not be
revoked by the Internet Society or its successors or assigns.
This document and the information contained herein is provided on an
"AS IS" basis and THE INTERNET SOCIETY AND THE INTERNET ENGINEERING
TASK FORCE DISCLAIMS ALL WARRANTIES, EXPRESS OR IMPLIED, INCLUDING
BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE INFORMATION
HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED WARRANTIES OF
MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
Acknowledgement
Funding for the RFC Editor function is currently provided by the
Internet Society.
Polk, et al. Standards Track [Page 27]
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