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Method, system, device for proving the authenticity of an entity and/or the integrity and/or the authenticity of a message using specific prime factors
Method, system, device for proving the authenticity of an entity and/or the integrity and/or the authenticity of a message using specific prime factors
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机译:使用特定的主要因素证明实体的真实性和/或消息的完整性和/或真实性的方法,系统和设备
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摘要
The proof is provided by means of the following parameters: a public module n formed by the product of f prime factors pi, f2; a public superscript v; m base numbers gi, m1. The base numbers gi are such that the two equations: x2≡gi mod n and x2≡−gi mod n cannot de solved in x in the ring of integers modulo n, and such that the equation xv≡gi2 mod n can be solved in x in the ring of integers modulo n in the case where the public superscript v is in the form v=2k, wherein k is a security parameter.
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机译:通过以下参数提供证明:由f个素因数p i Sub>,f> 2的乘积形成的公共模块n;公开上标v; m个基数g i Sub>,m> 1。基数g i Sub>使得两个等式:x 2 Sup>≡g i Sub> mod n和x 2 Sup> g−g i Sub> mod n不能在整数模n的环中的x中解出,因此等式x v Sup>≡g i Sub>在公共上标v的形式为v = 2 k Sup>的情况下, 2 Sup> mod n可以在x上以n为模的整数环求解,其中k为a安全参数。
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