基于Chebyshev多项式的身份认证方案的研究

摘要

基于有限域的Chebyshev多项式由于其良好的单向性和半群特性,被广泛应用到公钥密码算法、密钥协商及身份认证方案中.在安全性方面对已有的基于Chebyshev多项式的身份认证方案进行了分析,并提出了一个新的身份认证方案.通过对其性能的研究,新的方案是安全有效的.%Chebyshev polynomials based on finite fields have been widely used in public key cryptography, key agreement protocol and identity authentication scheme for its good semi-group property and one-way trapped characteristic. In this paper we study the security of the proposed identity authentication scheme based on chebyshev polynomials, and propose a new identity authentication scheme which is secure and practical after analyzing.