基于分段Logistic混沌映射的单向Hash函数

基于分段Logistic混沌映射的单向Hash函数 One-Way Hash Function Based on Piecewise Logistic Chaotic Map 张雪锋 ZHANG Xuefeng1 1 2 first-author 范九伦 FAN Jiulun1 1 2 西安电子科技大学电子工程学院 西安电子科技大学电子工程学院 School of Electronic Engineering,Xidian University School of Electronic Engineering,Xidian University 西安邮电学院信息与控制系 西安邮电学院信息与控制系 Department of Information and Control,Xi’an Institute of Posts and Telecommunications Department of Information and Control,Xi’an Institute of Posts and Telecommunications 提出了一种基于循环迭代结构的明文消息分段Hash函数算法.该算法以明文消息和初始密钥作为混沌系统的初始条件,通过迭代计算过程中包含的循环移位操作保证了所给算法具有单向Hash函数的不可逆性、防伪造性以及初值敏感性等特点.为了有效改进基于混沌系统的单向Hash函数的安全性能,本文构造了一种分段非线性混沌映射:分段Logistic混沌映射.实验结果表明,基于分段Logistic混沌映射的Hash函数具有良好的单向性、弱碰撞性等性能. A Hash function algorithm of piecewise plaintext message based on circulation iterative is presented.The proposed algorithm sets the plaintext message and the original key as the original parameters of chaotic system,the cyclic shift operating in circulation computing process guarantees the proposed algorithm has the advantages such as irreversibility,resistance to forgery,and sensitivity to initial values.In order to improve the security of one-way Hash function based on chaotic system effectively,a piecewise non-linear chaotic map,that is,piecewise logistic chaotic map,is constructed.Simulation results show that the proposed Hash function based on piecewise logistic chaotic map has good one-way,weak collision properties. 混沌 Hash函数 非线性混沌映射 单向函数 chaos Hash function non-linear chaotic map one-way function O415.5 国家自然科学基金资助项目（60572133） 2008-05-01 2021-04-01 5