切延迟椭圆反射腔映射系统的S-盒构造  

Construction of substitution boxes based on tangent-delay ellipse reflecting cavity-mapping system

作　　者：张林华[1] 邓绍江[2] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047 [2]重庆大学计算机学院,重庆400030

出　　处：《重庆大学学报（自然科学版）》2009年第10期1226-1230,共5页Journal of Chongqing University

基　　金：国家自然科学基金资助项目(60873201);重庆市自然科学基金资助项目(CSTC2009BB2389;CSTSC2007BB2411);重庆市教委基金资助项目(KJ080805);重庆师范大学资助项目(07XLB036)

摘　　要：利用切延迟椭圆反射腔映射系统良好的混沌特性,构造了一类新的S-盒,详细分析了其包括双射、非线性度、严格雪崩、输出比特独立性、差分逼近概率和线性逼近概率等密码学特性,并对Kocarev等最近提出用离散混沌判定S-盒强度进行了讨论。理论分析和测试结果表明构造方法容易实现且效率较高,构造的S-盒较用其它混沌系统构造的S-盒具有更好的密码学特性,可用于已有的密码方案的进一步改进。Based on the good chaotic properties of tangent-delay ellipse reflecting cavity-mapping system （TD-ERCS）, a kind of novel substitution boxes were constructed. The cryptographic properties, such as bijection, nonlinearity, strict avalanche, independence of output bits, the differential approximation probability and the nonlinear approximation probability of the S-box are analyzed. The investigation method for the strength of the S-box with the discrete chaotic system proposed by Kocarev is discussed. Theoretical analysis and backtesting results show that the method is efficient and easy to put into practice, while the constructed S-boxes show better cryptographic properties than the S-boxes based on other chaotic system, which can be used to improve the existing encryption scheme.

关 键 词：混沌 切延迟椭圆反射腔映射系统 S-盒 密码分析 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]