基于可对角群不变量的公钥密码系统

IF 0.1 Q4 MATHEMATICS Groups Complexity Cryptology Pub Date : 2015-07-28 DOI:10.1515/gcc-2017-0003

M. Jurás, F. Marko, A. Zubkov

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引用次数: 2

摘要

摘要建立了一个基于可对角群不变量的公钥密码系统，研究了该密码系统在有限域、数域和有限环上的性质。我们考虑了这些密码系统的安全性，并表明有必要限制系统的参数集，以防止各种攻击(包括线性代数攻击和基于欧几里得算法的攻击)。

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Public-key cryptosystem based on invariants of diagonalizable groups

Abstract We develop a public-key cryptosystem based on invariants of diagonalizable groups and investigate properties of such a cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of these cryptosystem and show that it is necessary to restrict the set of parameters of the system to prevent various attacks (including linear algebra attacks and attacks based on the Euclidean algorithm).

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