基于电流传输器的网格多涡卷混沌吸引子在混合图像加密中的研究

林愿; 王春华; 徐浩

doi:10.7498/aps.61.240503

摘要

该文提出了一种新的基于第二代电流传输器(CCII)的网格多涡卷混沌吸引子产生器, 用于物理混沌加密和高级加密标准(AES)加密的混合图像加密算法. 因CCII比普通运放有更好的频率特性和更大的动态范围, 能产生频率更高, 动力学特性更复杂的多涡卷物理混沌信号. 基于CCII的多涡卷物理混沌加密和AES加密的混合加密系统, 不存在确定的明文密文映射关系, 密文统计特性也应优于其他加密系统. 基于该算法研究了混合加密和单级加密的抗统计分析能力, 以及涡卷数目不同的混沌信号在该算法中应用时密文统计特性的不同. 完成了基于CCII的混沌电路设计与硬件实现, 对加密系统进行了数值仿真, 仿真结果与理论分析一致, 同时表明涡卷数目越多的混沌系统其加密产生的密文相关性越弱.

关键词:

Abstract

In this paper we propose a novel grid-scroll chaotic attractor generator based on the second generation current conveyor(CCII), which is used for hybrid image encryption of physical chaos encryption and advanced encryption standard (AES) encryption algorithm, because CCII has a higher speed and larger dynamic range than ordinary operational amplifier and can generate multiscroll physical chaotic signal with higher frequency and more complex dynamics properties. The hybrid encryption system of multiscroll physical chaos encryption and AES encryption based on the CCII, does not assure the relationship between plaintext and ciphertext, and the statistical characteristics of ciphertexts in this algorithm should be better than those of any other encryption system. The difference in statistical property of cipher text between the two cases is studied. One case is that the ciphertexts come from different schemes, i. e. the hybrid and the single stage ones, respectively, and the other is that the ciphertexts are generated by chaotic signals with different numbers of scrolls in the same algorithm. We design and implement the chaos circuit based on CCII, and simulat the encryption system. The results shown that they are in agreement with the theoretical analyses, and that the bigger number of scrolls chaotic system causes the weaker correlation of ciphertexts.

Keywords:

作者及机构信息

1.
湖南大学信息科学与工程学院, 长沙 410082;

2.
湖南工程学院电气信息学院, 湘潭 411104

基金项目: 国家自然科学基金(批准号: 61274020)和湖南省高校重点实验室开放基金(批准号: 12K011)资助的课题.

Authors and contacts

1.
College of Information Science and Engineering, Hunan University, Changsha 410082, China;

2.
College of Electrical & Information Engineering, Hunan Institute of Engineering, Xiangtan 411104, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61274020), and the Open Fund Project of Key Laboratory in Hunan Universities (Grant No. 12K011).

参考文献

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[17]	Sanchez L C 2011 Appl. Math. Comput. 217 4350
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施引文献

[1]	Fu C, Lin B B, Miao Y S, Liu X, Chen J J 2011 Opt. Commun. 284 5415
[2]	Tang G, Liao X F 2005 Chaos Soliton. Fract. 23 1901
[3]	Zhang L H, Liao X F, Wang X B 2005 Chaos Soliton. Fract. 24 759
[4]	Xiang T, Wong K W, Liao X F 2007 Chaos 17 12
[5]	Pareek N K, Patidar V, Sud K K 2006 Image Vision Comput. 24 926
[6]	Wong K, Kwok B, Law W 2008 Phys. Lett. A 372 2645
[7]	Wang J, Jiang G P 2011 Acta Phys. Sin. 6 060503 (in Chinese) [王静, 蒋国平 2011 6 060503]
[8]	Liu Y R, Wu Z M, Wu J G, Li P, Xia G Q 2012 Acta Phys. Sin. 61 024203 (in Chinese) [刘宇然, 吴正冒, 吴加贵, 李萍, 夏光琼 2012 61 024203]
[9]	Ashraf A Z, Abdulnasser A R 2011 Commun. Nonlinear Sci Numer Simulat. 16 3721
[10]	Qiu S S, Chen Y F,Wu M , Ma Z G, Long M, Liu X Y 2006 J. Circ Sys. 11 98 (in Chinese) [丘水生, 陈艳峰, 吴敏, 马在光, 龙敏, 刘雄英 2006 电路与系统学报 11 98]
[11]	Long M, Qiu S S, Peng F 2006 Chin. J. Radio Sci. 21 74 (in Chinese) [龙敏, 丘水生, 彭飞 2006 电波科学学报 21 74]
[12]	Xiang F, Xiao H J, Qiu S S 2007 J. South China Univ. Technol (Natl. Sci. Ed.) 35 31 (in Ch inese) [向菲, 肖慧娟, 丘水生 2007 华南理工大学学报(自然科学版) 35 31]
[13]	Jin J X, Qiu S S 2010 Acta Phys. Sin. 59 792 (in Chinese) [晋建秀, 丘水生 2010 59 792]
[14]	Sanchez L C, Trejo G R, Munoz P J M, Tlelo C E 2010 Nonlinear Dyn. 61 331
[15]	Yang Z M, Zhang J, Ma Y J, Bai Y L, Ma S Q 2010 Acta Phys. Sin. 59 3007 (in Chinese) [杨志民, 张洁, 马永杰, 摆玉龙, 马胜前 2010 59 3007]
[16]	Zhang Z Z 2004 Introduction to Modern Cryptography (Beijing: Beijing University of Posts and Telecomm unications Press) p106 (in Chinese) [章照止 2004 现代密码学基础 (北京: 北京邮电大学出版社) 第106页]
[17]	Sanchez L C 2011 Appl. Math. Comput. 217 4350
[18]	Zhang C X, Yu S M 2009 Acta Phys. Sin. 58 0120 (in Chinese) [张朝霞, 禹思敏 2009 58 0120]
[19]	Ming H J, Zih H C, Jian H C, Yan H C 2007 Microprocess Microsy91 102

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