同余方程加密方案的研究

目前基于公钥的加密和会话密钥交换方案容易受到中间人攻击且效率不高。为此，提出了一种基于同余方程的加密和会话密钥交换方案，该算法可以安全高效地实现会话密钥的协商和加密消息的传输，并且还能防止中间人攻击。该方案在一定程度上防止第三者对传输消息的篡改，其安全性是建立在大数因子分解的困难性基础上的。

Cryptography scheme based on congruence equation

Most current cryptography and session key exchange schemes based on public key are vulnerable to intermediate attack and have low efficiency. In order to solve this problem, a cryptography and session key exchange scheme based on congruence equation was proposed in this paper. Through this scheme, session key exchange and private message transmission can be realized efficiently and safely, and the intermediate attack can also be avoided. To some extent, we can also prevent the third party to garble the transmission message through this scheme. The security of the algorithm is built upon the difficulty of big integer factorization.