基于混沌理论改进希尔加密系统密钥矩阵

Improvement in Key Matrix of Hill Cipher System Based on Chaos Theory

希尔加密系统密钥矩阵最关键,针对目前利用希尔加密系统为加密图像构造的自逆矩阵没有充分随机性的问题,采用具有完全随机性的混沌动力学方程生成自逆矩阵元素。给出基于混沌和自逆矩阵理论的密钥矩阵生成算法。实验结果表明,在不影响加密速度和加密效果的基础上,利用由混沌方程生成的自逆矩阵对图象进行加密,有效的提高加密强度和健壮性。

Key matrix was the core＇of Hill encryption system, Considering the problem of no complete random of the current self-invertible key matrix in the Hill encryption system for image encryption, the self-invertible key matrix element was generated by using complete random chaos dynamic equation. Key matrix generation algorithm based on chaos and self-invertible matrix theory was proposed. Experiment results expatiated that encrypting image with chaos self-invertible key matrix improved encryption strength and robust effectively without affecting encryption speed and encryption effect.