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

作　　者：李博 刘建东[1] 钟鸣 刘玉杰 徐浩强 Li Bo;Liu Jiandong;Zhong Ming;Liu Yujie;Xu Haoqiang(College of Information Engineering,Beijing Institute of Petrochemical Technology,Beijing 102617,China)

机构地区：[1]北京石油化工学院信息工程学院,北京102617

出　　处：《计算机应用与软件》2024年第6期342-349,共8页Computer Applications and Software

基　　金：北京市教委面上项目(KM201810017005)。

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。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 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]