Two-dimensional-lag complex logistic map with complex parameters and its encryption application  

作　　者：张芳芳 武金波 寇磊 马凤英 吴黎明 张雪 Fangfang Zhang;Jinbo Wu;Lei Kou;Fengying Ma;Liming Wu;Xue Zhang(School of Information and Automation Engineering,Qilu University of Technology (Shandong Academy of Sciences),Jinan 250353,China;Institute of Oceanographic Instrumentation,Qilu University of Technology (Shandong Academy of Sciences),Qingdao 266000,China)

机构地区：[1]School of Information and Automation Engineering,Qilu University of Technology (Shandong Academy of Sciences),Jinan 250353,China [2]Institute of Oceanographic Instrumentation,Qilu University of Technology (Shandong Academy of Sciences),Qingdao 266000,China

出　　处：《Chinese Physics B》2024年第5期324-335,共12页中国物理B（英文版）

基　　金：Project supported by the Shandong Province Natural Science Foundation(Grant Nos.ZR2023MF089,R2023QF036,and ZR2021MF073);the Industry-University-Research Collaborative Innovation Fund Project of Qilu University of Technology(Shandong Academy of Sciences)(Grant Nos.2021CXY-13 and 2021CXY-14);the Major Scientific and Technological Innovation Projects of Shandong Province(Grant No.2020CXGC010901);the Talent Research Project of Qilu University of Technology(Shandong Academy of Sciences)(Grant No.2023RCKY054);the Basic Research Projects of Science,Education and Industry Integration Pilot Project of Qilu University of Technology(Shandong Academy of Sciences)(Grant No.2023PX081)。

摘　　要：With the rapid development of internet technology,security protection of information has become more and more prominent,especially information encryption.Considering the great advantages of chaotic encryption,we propose a 2D-lag complex logistic map with complex parameters(2D-LCLMCP)and corresponding encryption schemes.Firstly,we present the model of the 2D-LCLMCP and analyze its chaotic properties and system stability through fixed points,Lyapunov exponent,bifurcation diagram,phase diagram,etc.Secondly,a block cipher algorithm based on the 2D-LCLMCP is proposed,the plaintext data is preprocessed using a pseudorandom sequence generated by the 2D-LCLMCP.Based on the generalized Feistel cipher structure,a round function F is constructed using dynamic S-box and DNA encoding rules as the core of the block cipher algorithm.The generalized Feistel cipher structure consists of two F functions,four XOR operations,and one permutation operation per round.The symmetric dynamic round keys that change with the plaintext are generated by the 2D-LCLMCP.Finally,experimental simulation and performance analysis tests are conducted.The results show that the block cipher algorithm has low complexit,good diffusion and a large key space.When the block length is 64 bits,only six rounds of encryption are required to provide sufficient security and robustness against cryptographic attacks.

关 键 词：logistic map block ciphers chaotic system ENCRYPTION 

分 类 号：O415.5[理学—理论物理] TP309.7[理学—物理]