A group signature identification issuing method based on a national secret SM9 cryptographic algorithm
A cryptographic algorithm and group signature technology, which is applied in the field of communication, can solve the problems of large amount of computation, long public key digits, and slow key generation speed, and achieve the effects of low communication load, fast issuance speed, and less computation
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[0045] Combine below figure 1 , to further describe the specific implementation steps of the present invention.
[0046] Step 1. Generate the root certification center group key.
[0047] The root certification center selects a random number s in the range of [1, N-1] as the secret value, and uses the secret value and the additive cyclic group G 2 Generator P 2 The product of is used as the first partial group public key P, P=s·P 2 .
[0048] Among them, N means G 1 and G 2 order, N>2 256 , G 1 and G 2 Represents two generators P with different sizes but 192 bits in length 1 and P 2 The additive cyclic group formed.
[0049] According to the following formula, the root certification authority calculates part of the group private key:
[0050] t=H(s||hid,N)
[0051] Among them, h 1 Represents a part of the group private key, H( ) represents a hash operation, and hid represents the private key generation function identifier expressed in one byte.
[0052] The embo...
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