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一维鲁棒混沌映射及S盒的设计

韩丹丹 闵乐泉 赵耿 张丽姣 闫世杰

电子学报Issue(9):1770-1775,6.
电子学报Issue(9):1770-1775,6.DOI:10.3969/j.issn.0372-2112.2015.09.014

一维鲁棒混沌映射及S盒的设计

One-Dimensional Robust Chaotic Map and the Construction of S-Box

韩丹丹 1闵乐泉 2赵耿 3张丽姣 2闫世杰1

作者信息

  • 1. 北京科技大学自动化学院,北京 100083
  • 2. 北京科技大学数理学院,北京 100083
  • 3. 北京电子科技学院,北京 100070
  • 折叠

摘要

Abstract

Using the judgment theorem of Li-York chaos,this paper generates a class of piecewise linear chaotic maps.Based on the chaotic maps,a constructing theorem of piecewise nonlinear robust chaotic map is proposed.As an application,this theorem is used to construct a piecewise nonlinear robust chaotic map with a polynomial function and a trigonometric function.This study com-putes the bifurcation diagram of the map.The computed results demonstrate the chaotic robustness features of the map.Three pseu-do-random number generators are generated based on the piecewise nonlinear robust chaotic map.On this basis,the generation algo-rithm of S-boxes is proposed with the property of sensitivity to the initial parameters of the chaotic map.The cryptography perfor-mance is tested and the tested results show that generated S-boxes have good cryptographic properties,and can not only better resist the linear and differential attacks,but also provide the foundation and conditions for the research and development of cryptography.

关键词

Li-York 混沌/鲁棒混沌/伪随机数发生器/S 盒

Key words

Li-York chaos/robust chaos/pseudo-random number generator/S-box

分类

信息技术与安全科学

引用本文复制引用

韩丹丹,闵乐泉,赵耿,张丽姣,闫世杰..一维鲁棒混沌映射及S盒的设计[J].电子学报,2015,(9):1770-1775,6.

基金项目

国家自然科学基金 ()

电子学报

OA北大核心CSCDCSTPCD

0372-2112

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