基于Chebyshev多项式的椭圆曲线密码系统算法

Elliptic curve cryptosystem algorithm based on Chebyshev polynomial

通过结合Chebyshev多项式与椭圆曲线,构造基于Chebyshev多项式的椭圆曲线密码系统算法。利用有限域上Chebyshev良好的半群特性和椭圆曲线上的性质,实现了在椭圆曲线上的加密算法。该算法具有混沌密码和椭圆曲线密码算法的优点。通过对该算法的分析,认为算法简单、安全性高、方案可行。

By combining Chebyshev polynomial with elliptic curve, this paper constructed an elliptic curve cryptosystem algorithm based on Chebyshev polynomial, and used the good semi-groop property of the limited domain Chebyshev and the properties of the elliptic curve. It realized cryptosystem algorithm in the elliptic curve. The algorithm has the advantages of the chaotic cipher and elliptic curve cryptographic algorithm. Through the analysis of the algorithm, it is thought that the algorithm is simple and has high safety, the scheme is feasible.