Two-party distributed SM9 digital signature generation method and system
A technology of digital signature and generation system, applied in the field of information security, which can solve the problems of leakage of signature scheme security, loss, etc.
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[0040] The present invention will be described in detail below in conjunction with the accompanying drawings.
[0041] 1. Symbols and definitions
[0042] A, B: The two sides of the communication.
[0043] G 1 ,G 2 : The additive cyclic group of order prime q.
[0044] G T : The multiplicative cyclic group of order prime q.
[0045] e: from G 1 ×G 2 to G T bilinear pairing.
[0046] g u : Multiplicative group G T The power of u in g, that is where u is a positive integer.
[0047] h 1 (·),H 2 ( ): by {0,1} * arrive cryptographic hash function.
[0048] ID A : The identification of the communication party A, which can uniquely determine the public key of the communication party A.
[0049] The signing key of communicating party A.
[0050] modq: Modulo q operation. For example, 27(mod5)≡2.
[0051] q: cyclic group G 1 ,G 2 and G T order, and q>2 191 is a prime number.
[0052] P 1 ,P 2 : respectively group G 1 and G 2 generator of .
[0053] ...
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