整数帐篷映射周期现象的分析及抵抗策略研究
ANALYSIS OF PERIODIC PHENOMENA OF INTEGER TENT MAPPING AND STUDY OF RESISTANCE STRATEGIES
李博 1刘建东 1钟鸣 1刘玉杰 1徐浩强1
作者信息
- 1. 北京石油化工学院信息工程学院 北京 102617
- 折叠
摘要
该文设计一种改进型耦合动态整数帐篷映射模型,引入Rabbit流密码中的计数器机制.针对整数帐篷映射的短周期现象,从扩展精度、动态扰动和扩展维度三个角度,对四种不同的整数帐篷映射模型生成的混沌序列进行周期性分析,证明了改进型模型能够较大地改善整数帐篷映射的短周期现象.针对该模型的相关性、初值敏感性、离散Lyapunov指数、NIST随机性等混沌特性进行仿真分析,结果表明该模型性能优越,具有极高的密码学应用价值.
Abstract
An improved coupled dynamically integer tent mapping model is designed and a counter mechanism in Rabbit stream cipher is introduced in this model.Aimed at the short-period phenomenon of integer tent mapping,the chaotic sequence generated by four different integer tent mapping models was analyzed periodically from the perspectives of extended precision,dynamic disturbance and extended dimension.It was proved that the improved model could greatly improve the short-period phenomenon of integer tent mapping.According to the chaotic characteristics of the model,such as correlation,initial value sensitivity,discrete Lyapunov index,randomness of NIST,etc.,simulation analysis was carried out.The results show that the model has excellent performance and high cryptography application value.
关键词
整数帐篷映射/短周期/有限精度/混沌密码Key words
Integer tent mapping/Short period/Finite accuracy/Chaos cryptography引用本文复制引用
基金项目
北京市教委面上项目(KM201810017005)
出版年
2024
国家科技期刊平台
NSTL
万方数据