基于环面自同构的公钥加密算法

混沌映射因其自身特性在密码学中有极大的应用价值，但相比起在私钥系统中的广泛应用，混沌在公钥系统中的研究还很少．通过分析典型的混沌映射环面自同构的周期，利用传统公钥算法RSA的架构，设计了一种基于环面自同构的公钥加密算法．它与RSA算法相似，其安全性基于大数因式分解的难度，能够抵抗对于lISA的选择密文攻击，并且易于软件实现．

public-key Encryption Based on Torus Automorphisms

Chaotic maps with its characteristic are very useful in cryptography, however, compared with wide application in symmetric system, the research about chaos in public-key encryption system is still few. Through analysing the period of toms automorphisms which is a prototype of chaotic map, and making use of the framework of the traditional public-key algorithm RSA, the authors propose a chaotic public-key encryption algorithm based on toms automorphisms. Its security is based on the intractability of the integer factorization problem as RSA, and it is able to resist the chosen-ciphertext attack against RSA and easy to be implemented.