应用科学学报 ›› 2015, Vol. 33 ›› Issue (4): 438-448.doi: 10.3969/j.issn.0255-8297.2015.04.010

• 控制与系统 • 上一篇    下一篇

基于交叉耦合映像格子时空混沌的S盒设计

杨伟伟, 刘光杰, 戴跃伟   

  1. 南京理工大学自动化学院,南京210094
  • 收稿日期:2014-10-28 修回日期:2015-02-02 出版日期:2015-07-30 发布日期:2015-02-02
  • 作者简介:刘光杰,副研究员,博士,研究方向:网络与信息安全,E-mail: gjieliu@gmail.com;戴跃伟,教授,博导,研究方向:复杂系统建模、系统安全,E-mail: daiywei@163.com
  • 基金资助:

    国家自然科学基金(No.61102201, No.61170250, No.61472188)资助

Design of S-Boxes Based on Spatiotemporal Chaotic Systems of Cross Coupled Map Lattices

YANG Wei-wei, LIU Guang-jie, DAI Yue-wei   

  1. Automation School, Nanjing University of Science and Technology, Nanjing 210094, China
  • Received:2014-10-28 Revised:2015-02-02 Online:2015-07-30 Published:2015-02-02

摘要: S盒的设计是分组密码设计的重要组成部分. 提出一种基于参数抖动的耦合映
像格子时空混沌系统设计S盒的方法,使用带有参数抖动的交叉耦合映像格子模型和基
于Chebyshev映射的格子局部状态生成函数,实现8×8 S盒的快速批量生成. 通过非线性度、
差分均匀性、严格雪崩准则、输出比特间独立性及双射特性等评价准则的分析和测试,对批量
产生的盒子进行优选,并就优选盒子的各项性能与已有的基于混沌的S盒子进行对比和分析.
结果表明:该方法所构造的优选S盒,其密码学特性更优良,可作为基本部件用于新型分组密
码系统的设计.

关键词: 交叉耦合映像格子, 时空混沌, S盒, 密码学

Abstract: Design of S-boxes is an important part in the block ciphers design. In this paper,
the S-box construction method based on spatiotemporal chaotic system is proposed.
Cross coupled map lattices based on the Chebyshev map with random parameters dither are
used to produce a large number of 8×8 S-boxes. Evaluation tests are carried out, including
nonlinearity, equiprobable input/output XOR distribution, strict avalanche criterion, output
bit independence criterion and bijective property. The prior S-box is picked up in the
test. Further comparison results indicate that the prior S-box has better cryptographical
properties than existing chaos-based methods. It can be used as a core component in the
design of new block cipher systems.

Key words: cross coupled map lattices, spatiotemporal chaos, S-boxes, cryptography

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