基于正交拉丁方的混沌图像加密算法设计
Design of Chaotic Image Encryption Algorithm Based on Orthogonal Latin Square
摘要:
本文构造了一个8阶正交拉丁方组及其所决定的可逆变换的代数式,给出了基于该正交拉丁方组的基本密码系统的设计方法。在此基础上,结合Henon混沌系统设计了一种多元流密码算法,推广了二元加法流密码的设计方法,并对新流密码算法在数字图像上的加密效果进行了直方图、相关性、密钥敏感度及信息熵等分析,结果表明该加密算法具有良好的加密效果。
Abstract:
This paper constructs an 8th-order orthogonal Latin square group and the algebraic formula of the reversible transformation determined by it, and gives the design method of the basic cryptographic system based on the orthogonal Latin square group. On this basis, a multiary stream cipher algorithm is designed in combination with the Henon chaotic system, the design method of binary additive stream cipher is promoted, and the encryption effect of the new stream cipher algorithm on digital images is carried out by histogram, correlation, etc. Simulations show that the encryption algorithm has a good encryption effect.
参考文献
|
[1]
|
张斌, 徐超, 冯登国. 流密码的设计与分析: 回顾、现状与展望[J]. 密码学报, 2016, 3(6): 527-545.
|
|
[2]
|
Shannon, C.E. (1949) Communication Theory of Secrecy System. Bell System Technical Journal, 28, 656-715. [Google Scholar] [CrossRef]
|
|
[3]
|
田传俊. 密钥非均匀分布的完善保密通信系统[J]. 通信学报, 2018, 39(11): 1-9.
|
|
[4]
|
田传俊. 基于4阶正交拉丁方组实际基本密码系统设计[J]. 深圳大学学报(理工版), 2020, 37(3): 251-256.
|
|
[5]
|
Fridrich, J. (1997) Image Encryption Based on Chaotic Maps. IEEE International Con-ference on Systems, Orlando, FL, 12-15 October 1997, 1105-1110.
|
|
[6]
|
朱和贵, 蒲宝明, 朱志良, 赵怡然, 宋禹佳. 二维Sine-Tent超混沌映射及其在图像加密中的应用[J]. 小型微型计算机系统, 2019, 40(7): 1510-1518.
|
|
[7]
|
Hénon, M. (1976) A Two-Dimensional Mapping with a Strange Attractor. Communications in Math-ematical Physics, 50, 69-77. [Google Scholar] [CrossRef]
|
|
[8]
|
缑新科, 吴贻峰. 基于复合混沌的数字图像加密算法[J]. 计算机与数字工程, 2018, 46(12): 2574-2579.
|