一类3D四翼倍增混沌系统及Hash函数算法  

A class of 3D four-wing multiplication chaotic system and algorithm of hash functions

作　　者：齐芳[1] 张晓丹[1] 聂少敏 赵经纬[1] 贺思涵 

机构地区：[1]北京科技大学数理学院,北京100083

出　　处：《济南大学学报（自然科学版）》2016年第3期195-202,共8页Journal of University of Jinan(Science and Technology)

基　　金：中央高校基本科研业务费(FRF-BR-12-021);北京市级本科生科研训练计划(15210269)

摘　　要：基于新四翼吕系统提出四翼倍增方案,构造生成四翼倍增混沌系统(FWMS)及基于FWMS的Hash函数算法(HFA),探讨混沌系统的构造及在保密通讯领域的应用。采用数值分析方法确定FWMS的参数及结构复杂性;HFA基于已有的Hash函数算法,由明文与迭代结果共同产生初值,经多翼混沌系统迭代,最终产生Hash值;通过数值模拟对HFA进行统计分析与抗碰撞试验,并将其应用于混沌系统的广义同步检验。结果表明:FWMS构造生成了八翼(EW)和十二翼(TWW)混沌系统;HFA具有良好的混乱与扩散性,较强的抗碰撞性;广义同步检验取得与数值模拟一致的结果。A four-wing multiplication scheme is given based on the new 4-wing Lyu system. A class of four-wing multiplication system（ FWMS） is constructed,and a new algorithm of Hash function（ HFA） based on FWMS is proposed. The chaotic systems＇ construction and application in security communication are discussed,and the parameters＇ values and the construction＇s complexity of FWMS are analyzed by numerical simulation. The HFA produces the Hash value through iteration of chaotic system. Different from previous methods,whose initial values are jointly produced by plaintexts and iterating results of chaotic system,the statistical analysis and experiment results of collision resistance of HFA are underway by numerical simulation. In addition,HFA is applied to the test of generalized synchronization. The analysis results demonstrate that an 8-wing（ EW） and a 12-wing（ TWW） chaotic system are constructed,and our HFA has stronger capability for confusion,diffusion,and good collision resistance. The experimental results of generalized synchronization test agree with the numerical simulation results.

关 键 词：四翼系统 四翼倍增 混沌系统 HASH函数 

分 类 号：O415.5[理学—理论物理]