Two-side authentication key negotiation method and system based on certificate
A technology for authenticated key agreement and certificate, applied in the field of key agreement, can solve key escrow, complex certificate management issues, complex certificate management and key escrow issues, etc.
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[0041] Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail:
[0042] The certificate-based two-party authentication key agreement method in the present invention can be realized based on bilinear pairing. The basic definition of bilinear pairing and the properties it satisfies will be briefly introduced below.
[0043] Let G 1 is an additive cyclic group of order q, G 2 is a multiplicative cyclic group of order q, and P is the group G 1 The generator of , where q is a large prime number. Suppose G 1 and G 2 The BDH problem on both groups is hard. If defined in group G 1 and group G 2 Previous Mapping e:G 1 ×G 1 →G 2 Satisfy the following three properties, then the mapping is called a valid bilinear pairing. bilinear pair e:G 1 ×G 1 →G 2 is group G 1 Cartesian product G with itself 1 ×G 1 to group G 2 The mapping, that is, the bilinear pair e:G 1 ×G 1 →G 2 Refers to the function z=e(P 1 ,...
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