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一种同时基于多个数学难题的签名算法

A New Signature Scheme Based on a Multitude of Mathematical Problems
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摘要 为在同等计算复杂度的前提下提高算法的安全性,提出一个新的数字签名方案。在不扩大有限域zq*的基础上,通过增加本原根的维数,并且引入HAsh函数和二次剩余,基于多个数学难题对经典的Neberg-Rueppel[1]签名体制进行改进。通过比较发现新算法的安全性大大增强,但是其复杂度却没有相应增加。 To promote the security of an algorithm under the same computational complexity,a new digital signature scheme is proposed.In this scheme,without expanding the finite field z*q,by increasing the number of the dimensions of the original roots,we can improve the classical Neberg-Rueppel algorithm on the basis of the introduction of HASH function and quadratic residue.A comparison shows that the security of the new algorithm is greatly improved without a corresponding increase in complexity.
出处 《电子科技》 2011年第4期15-16,42,共3页 Electronic Science and Technology
关键词 数字签名 离数对数问题 大整数分解问题 二次剩余 公钥密码 digital signature discrete logarithm problem factorization-problem quadratic residue public key cryptography
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