有关Hill加密中三阶矩阵的哑元选取

Dummy Element Selection of Third Order Matrix in Hill Encryption

在当今拥有大数据的网络环境中,对于数据与隐私进行有效的保护与加密已然是重要的课题,本文对密码的设计进行探究,最终在加密与解密过程中针对Hill密码体系的安全性进行考量,综合线性映射与矩阵理论,通过讨论哑元的位置、个数这2个不同的情况来讨论设计密钥的方法,最终分别针对哑元位于明文矩阵的任意一列、任意一列的末尾和哑元个数为2个及以上时提出了3种方案,以探究Hill密码加密的安全性、稳定性以及解密结论的准确性。

In today's network environment with big data,effective protection and encryption of data and privacy has become an important topic.This paper explores the design of cryptography,and finally considers the security of Hill cryptography system in the process of encryption and decryption,integrating linear mapping and matrix theory.By discussing the position of the dummy,the number of the two different situation to discuss key design method,finally we respectively for dummy in clear any column of the matrix,and at the end of a column of dummy number for two or more puts forward three kinds of solutions,to explore the Hill password encryption security,stability and the accuracy of the decryption conclusion.