基于密文反馈的logistic映射认证加密算法

Authenticated cryptosystem algorithm based on logistic map with cipher-feedback

利用混沌动力系统对初值敏感、非周期、伪随机等特性,并结合大因数分解的复杂性,提出一种基于密文反馈的logistic映射认证加密算法.通过密文反馈的方式改变混沌映射的迭代次数,保证加密和解密双方的同步,并且每一次加密所使用的密钥是由logistic映射迭代不同次数得到的,即一个特定的密钥用于唯一的一组明文字加密,从而使得该算法达到完善保密性.理论研究和仿真结果表明,该算法不仅能够解决信息传输过程中面临的数据完整性、身份认证以及防抵赖性等问题,而且能够有效地防止选择明文攻击、利用统计方法攻击以及差分方法攻击.

Based on the logistic map with cipher-feedback,an authenticated cryptosystem algorithm is proposed,which combines the complexity of large number factorization with the properties of the chaotic dynamical system,such as sensitivity to initial conditions,non-periodic and pseudo-random characteristics and so on. The chaotic iteration number is changed through cipher text feedback to ensure the synchronization between the message sender and the message receiver. Moreover,each key for encryption can be obtained by different logistic iterations,i. e. ,a specific key is used to encrypt a unique cipher word,which makes the proposed algorithm achieve perfect secrecy. Theoretical analysis and simulation results show that the proposed scheme can not only solve the problems of data integrity,authentication and accountability,but also effectively resist chosen-plaintext attack, statistical attack and differential attack.