Digital signature method and key agreement method

Details Digital signature method and key agreement method Digital signature method and key agreement method

H - Electricity

04

L

H04L 9/28 (2006.01) G07F 7/10 (2006.01) H04L 9/08 (2006.01) H04L 9/32 (2006.01) G06F 7/72 (2006.01)

Patent

CA 2130250

A digital signature method based on the discrete logarithm problem is provided that allows message recovery. The message x is transformed according to the rule a = x g -r mod p, where r is a secret value generated by the signer. A value y is then calculated according to the rule y = r + s e mod q, where y is the signer's secret key. The signature of x consists of the pair (e,y). The verifier recovers the message x according to the rule x a g y k e mod p, where k is the signer's public key. The validation of x can be based on some redundancy contained in x. Alternatively, a conventional verification equation can be constructed by using the signature method together with a hash function H. In addition, a key agreement method based on the signature method is provided which establishes with a single transmission pass a shared secret key K between two parties A and B in an authenticated fashion.

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