计算物理 ›› 2006, Vol. 23 ›› Issue (5): 621-625.

• 论文 • 上一篇    下一篇

一种基于遍历性的混沌加密新算法

王兴元, 段朝锋   

  1. 大连理工大学电子与信息工程学院, 辽宁 大连 116024
  • 收稿日期:2005-05-08 修回日期:2005-11-18 出版日期:2006-09-25 发布日期:2006-09-25
  • 作者简介:王兴元(1964-),男,辽宁沈阳,教授,博士,主要研究方向为混沌分形理论及应用.
  • 基金资助:
    国家自然科学基金(批准号:60573172);辽宁省教育厅高等学校科学技术研究计划(批准号:20040081)资助项目

A New Chaotic Encryption Algorithm Based on Ergodicity

WANG Xing-yuan, DUAN Chao-feng   

  1. School of Electronic & Information Engineering, Dalian University of Technology, Dalian 116024, China
  • Received:2005-05-08 Revised:2005-11-18 Online:2006-09-25 Published:2006-09-25

摘要: 分析了E.Álvarez密码系统的加密方法及其弱点,在此基础上给出了一种基于遍历性的混沌加密新算法。即以混沌系统的控制参数和初始点为密钥,迭代混沌映射以便产生一个比特链,在该比特链中搜索明文分组,记下迭代次数作为密文分组。新算法避免了E.Álvarez密码方案中的若干弱点,增强了密码系统的安全性。最后通过对Logistic映射的仿真研究,验证了新密码系统满足密码学中的混淆和散布特性,并进而阐明了新密码系统的有效性。

关键词: 遍历性, 混沌, 密码系统, 密钥, 比特链, 有效性

Abstract: The encryption and weaknesses of the E.Álvarez cryptosystem are analyzed.A new chaotic cryptosystem based on ergodicity is proposed.The control parameters and initial condition of a chaotic system are selected as the secret key.A bit chain from the chaotic orbit is generated,and the position at which a plaintext block appears in the chain is found.Then record the number of iterations of the chaotic map as the cipher block.Several weaknesses of the E.Álvarez cryptosystem are voided in the new scheme.The security is strengthened.Finally the new cryptosystem is studied experimentally using a logistic map.It is shown that the new cryptosystem satisfies the confusion and diffuse characteristics.Effectiveness of the proposed scheme is demonstrated.

Key words: ergodic, chaos, cryptosystem, secret key, bit chain, effectiveness

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