矩阵共轭的认证

Groups Complex. Cryptol. Pub Date : 2010-10-24 DOI:10.1515/GCC.2009.199

D. Grigoriev, V. Shpilrain

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引用次数: 32

摘要

我们提出了一种身份验证方案，在这种方案中，如果没有找到证明者的长期私钥，伪造(又名冒充)似乎是不可行的。后者将从解决平台(非交换)半群中的共轭搜索问题开始，即从X -1 AX和a中恢复X。我们在这里提出的平台半群是在环上截断的多变量多项式上的n × n矩阵的半群。

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Authentication from Matrix Conjugation

We propose an authentication scheme where forgery (a.k.a. impersonation) seems infeasible without finding the prover's long-term private key. The latter would follow from solving the conjugacy search problem in the platform (noncommutative) semigroup, i.e., to recovering X from X –1 AX and A. The platform semigroup that we suggest here is the semigroup of n × n matrices over truncated multivariable polynomials over a ring.

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来源期刊

Groups Complex. Cryptol.

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