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基于多重映射的安全S盒构造方法
引用本文:曹晓梅,陈海山,王少辉.基于多重映射的安全S盒构造方法[J].计算机科学,2017,44(7):107-110, 119.
作者姓名:曹晓梅  陈海山  王少辉
作者单位:南京邮电大学计算机与软件学院 南京210003江苏无线传感网高技术研究重点实验室 南京210003南京邮电大学宽带无线通信与传感网技术教育部重点实验室 南京210003,南京邮电大学计算机与软件学院 南京210003江苏无线传感网高技术研究重点实验室 南京210003南京邮电大学宽带无线通信与传感网技术教育部重点实验室 南京210003,南京邮电大学计算机与软件学院 南京210003江苏无线传感网高技术研究重点实验室 南京210003南京邮电大学宽带无线通信与传感网技术教育部重点实验室 南京210003
基金项目:本文受国家自然科学基金(61202353),国家重点基础研究发展计划(973)(2011CB302903),江苏高校优势学科建设工程资助
摘    要:将构造S盒的问题转化为寻找满足一定条件的映射的问题。利用 Tent映射的混沌特性,提出初始映射算法,并使用该算法得到可作为初始S盒的初始映射。为了提高S盒的安全性,提出了使用多个初始映射对初始S盒做非线性操作的多重映射算法,经安全性准则检验,该算法能够获得安全性更高的S盒。最后通过设定一个安全指标统计了该算法能够生成的优良S盒的个数,表明优良S盒的个数随着算法采用初始映射个数的增加而增加,并且实现算法所需的时间与算法中采用的初始映射的个数成正比。

关 键 词:多重映射  S盒  Tent映射  安全性准则
收稿时间:2016/5/4 0:00:00
修稿时间:2016/7/4 0:00:00

Method to Construct Secure S-boxes Based on Multimap
CAO Xiao-mei,CHEN Hai-shan and WANG Shao-hui.Method to Construct Secure S-boxes Based on Multimap[J].Computer Science,2017,44(7):107-110, 119.
Authors:CAO Xiao-mei  CHEN Hai-shan and WANG Shao-hui
Affiliation:School of Computer Science and Software,Nanjing University of Posts and Telecommunications,Nanjing 210003,China Jiangsu High Technology Research Key Laboratory for Wireless Sensor Networks,Nanjing 210003,China Key Lab of Broadband Wireless Communication and Sensor Network Technology of Ministry of Education, Nanjing University of Posts and Telecommunications,Nanjing 210003,China,School of Computer Science and Software,Nanjing University of Posts and Telecommunications,Nanjing 210003,China Jiangsu High Technology Research Key Laboratory for Wireless Sensor Networks,Nanjing 210003,China Key Lab of Broadband Wireless Communication and Sensor Network Technology of Ministry of Education, Nanjing University of Posts and Telecommunications,Nanjing 210003,China and School of Computer Science and Software,Nanjing University of Posts and Telecommunications,Nanjing 210003,China Jiangsu High Technology Research Key Laboratory for Wireless Sensor Networks,Nanjing 210003,China Key Lab of Broadband Wireless Communication and Sensor Network Technology of Ministry of Education, Nanjing University of Posts and Telecommunications,Nanjing 210003,China
Abstract:The problem of constructing S-boxs was transformed to a problem of searching for the mapping of certain conditions.Using the chaotic characteristics of Tent map,we proposed initial mapping algorithm to get the initial mappings which can be used as initial S-boxes.In order to improve the security of S-boxs,multimap algorithm was proposed which using multiple initial mappings to do nonlinear operations on S-boxs.According to security criteria,the proposed algorithm can obtain stronger S-boxes.At last,by setting a security index,the number of strong S-boxes generated by the algorithm was counted.The results of analysis show that the number of strong S-boxes increases with the increase of the number of initial mappings used in multimap algorithm,and the time cost is proportional to the number of initial mappings used in multimap algorithm.
Keywords:Multimap  S-box  Tent map  Security criterion
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