Method and apparatus for computing a shared secret key

Cryptography – Key management – Having particular key generator

Reexamination Certificate

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C380S028000, C380S030000, C713S169000, C713S171000

Reexamination Certificate

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07127063

ABSTRACT:
A method of generating a key by a first correspondent. The key is computable by a second correspondent. The method comprises the steps of:a) making available to the second correspondent a first short term public key;b) obtaining a second short term public key from the second correspondent;c) computing a first exponent derived from the first short term private key, the first short term public key, and the first long term private key;d) computing a second exponent derived from the first short term private key, the first long term public key, the second short term public key and the first long term private key;computing a simultaneous exponentiation of the first exponent with the second short term public key and the second exponent with the second long term public key.

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patent: 6122736 (2000-09-01), Vanstone et al.
patent: 2002/0044649 (2002-04-01), Gallant et al.
Möller, Bodo; “Algorithms for Multi-Exponentiation”,Selected Areas in Cryptography—SAC 2001, Springer Verlag LNCS 2259, pp. 165-180, ISBN 3-540-43066-0.
Yen, S.-M. et al.; “Multi-Exponentiation”, IEEE Proc. Comput. Digit. Tech., vol. 141, No. 6, Nov. 1994; pp. 325-326.

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