A new type of digital signature algorithms with a hidden group

D. Moldovyan
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引用次数: 2

Abstract

The known designs of digital signature schemes with a hidden group, which use finite non-commutative algebras as algebraic support, are based on the computational complexity of the so-called hidden discrete logarithm problem. A similar design, used to develop a signature algorithm based on the difficulty of solving a system of many quadratic equations in many variables, is introduced. The significant advantage of the proposed method compared with multivariate-cryptography signature algorithms is that the said system of equations, which occurs as the result of performing the exponentiation operations in the hidden group, has a random look and is specified in a finite field of a higher order. This provides the ability to develop post-quantum signature schemes with significantly smaller public-key sizes at a given level of security.
一种新型的隐群数字签名算法
已知的使用有限非交换代数作为代数支持的隐群数字签名方案的设计是基于所谓的隐离散对数问题的计算复杂度。本文介绍了一个类似的设计,用于开发一个基于求解多变量的多二次方程系统的难度的签名算法。与多变量密码签名算法相比,该方法的显著优点是,所述方程组作为在隐藏群中执行幂运算的结果,具有随机的看起来,并且在高阶的有限域中指定。这提供了在给定的安全级别上开发具有更小公钥大小的后量子签名方案的能力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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