pkcs13 proposal

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Information about pkcs13 proposal

Published on June 20, 2007

Author: Aric85


PKCS #13: Elliptic Curve Cryptography Standard:  PKCS #13: Elliptic Curve Cryptography Standard Burt Kaliski RSA Laboratories PKCS Workshop October 7, 1998 Introduction:  Introduction Elliptic curve cryptography is emerging as a new public-key technique Some standardization underway: ANSI X9.62,.63, IEEE P1363, ISO work PKCS #13: a profile of existing work status: in preparation, this is a proposal ECC: Primary Choices:  ECC: Primary Choices Underlying finite field Cryptographic schemes Point representation Finite Field:  Finite Field Odd characteristic: GF(p), p odd also GF(pm), e.g., for p = 3 Even characteristic: GF(2m) which field representations? Even generally faster (esp. in hardware), odd leverages existing modular arithmetic implementations Key Agreement Schemes:  Key Agreement Schemes Diffie-Hellman 'Unified' Diffie-Hellman MQV DH basic, 'unified' more flexible, MQV more efficient for joint static/ephemeral P1363, X9.63 draft have all three Signature Schemes:  Signature Schemes DSA Nyberg-Rueppel Schnorr DSA 'standard,' NR allows message recovery, Schnorr more 'provable' P1363 has first two, X9.62 has DSA Encryption Schemes:  Encryption Schemes Elgamal (= DH + multiplication) S/MIME approach Zheng-Seberry, Bellare-Rogaway schemes Elgamal basic, S/MIME enhanced, ZS and BR 'provable', more flexible ZS, BR submitted to P1363a BR in X9.63 draft Point Representation:  Point Representation Uncompressed: (x,y) y-compressed: only one bit of y x-compacted: one less bit of x x only (with algorithm changes) Size, processing tradeoffs P1363 supports uncompressed, y-compressed Proposed Profile:  Proposed Profile GF(p) and GF(2m), with rationale ECDH, ECDSA, P1363a ECES Uncompressed, with P1363 format Domain parameter and key generation, validation later IP Considerations:  IP Considerations ECC in general is not patented, but specific choices may be, e.g.: MQV key agreement point compression (app.) key validation (app.) Proposed profile is intended to be unencumbered, though some implementation techniques may be patented Discussion:  Discussion Are the choices appropriate? Is the profile too general? e.g., would fewer choices be better? Is it necessary? maybe IEEE P1363 Profile for PKCS Applications would be a better title? Work plan and schedule

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