基于Logistic和超混沌结合的加密算法

计算机科学 ›› 2019, Vol. 46 ›› Issue (11A): 477-482.

基于Logistic和超混沌结合的加密算法

韩雪娟¹, 李国东¹, 王思秀²

(新疆财经大学应用数学学院乌鲁木齐830012)¹;
(新疆财经大学计算机科学与工程学院乌鲁木齐830012)²

出版日期:2019-11-10 发布日期:2019-11-20
通讯作者: 李国东(1976－),男,博士,教授,主要研究方向为数据分析与图像处理,E-mail:lgdzhy@126.com。
作者简介:韩雪娟(1995－),女,硕士,主要研究方向为数据分析与图像处理,E-mail:1453545232@qq.com。
基金资助:
本文受国家自然科学基金(11461063),自治区自然科学基金(2017D01A24),自治区自然科学基金(2017D01A23),自治区高校科研计划青年项目(XJEDU2017S036)资助。

Cryptographic Algorithm Based on Combination of Logistic and Hyperchaos

HAN Xue-juan¹, LI Guo-dong¹, WANG Si-xiu²

(School of Applied Mathematics,Xinjiang University of Finance and Economics,Urumqi 830012,China)¹;
(School of Computer Science and Engineering,Xinjiang University of Finance and Economics,Urumqi 830012,China)²

Online:2019-11-10 Published:2019-11-20

摘要/Abstract

摘要： 文中设计了一种置乱方案,同时改进了四维超混沌,基于该置乱方法和超混沌提出了双混沌图像的加密算法。该置乱方法先借助Logistic映射对图像进行两次置乱,再将经过置乱后的密文图像作为输入,结合改进的四维超混沌进行扩散,得到最终的密文图像。文中设计的算法将图像分块置乱和整体行列置乱结合起来,保证了像素的置乱率近为100%。在扩散的过程中,通过改进的超混沌产生更具有伪随机性的密钥流进行多次加密,使得明文信息得到很好的隐藏。实验结果表明,该算法达到了比较好的加密效果,不仅敏感性强、密钥空间大,而且能够有效地抵御攻击,在图像信息安全方面具有一定的应用价值。

关键词: 超混沌, 混沌, 混沌加密, 图像加密

Abstract: In this paper,a scheme of scrambling was designed,and four-dimensional hyperchaos was improved. Based on the chaos method and hyperchaos,the algorithm of double chaos image encryption was proposed. The scrambled method uses Logistic map to scramble the image twice,then takes the scrambled ciphertext image as input,and diffuses it with the improved 4d hyperchaos to get the final ciphertext image. The algorithm designed in this paper combines the image block scrambling and the whole row and column scrambling to ensure the pixel scrambling rate of nearly 100%. In the process of diffusion,the key stream with more pseudo-randomness is generated through improved hyperchaos for multiple encryption,so that the plaintext information can be well hidden. The simulation results show that the algorithm has good encryption effect,not only has strong sensitivity and large key space,but also can resist attack effectively,and has certain application value in image information security.

Key words: Chaos, Chaos encryption, Image encryption, Super chaos

中图分类号:

TP309

韩雪娟, 李国东, 王思秀. 基于Logistic和超混沌结合的加密算法[J]. 计算机科学, 2019, 46(11A): 477-482. https://doi.org/

HAN Xue-juan, LI Guo-dong, WANG Si-xiu. Cryptographic Algorithm Based on Combination of Logistic and Hyperchaos[J]. Computer Science, 2019, 46(11A): 477-482. https://doi.org/

参考文献

[1]徐潇,马峻,赵飞乐,等.Arnold变换和混沌映射的计算全息多图像同步加密[J].激光杂志,2018,39(6):57-60.
[2]LIU C,LIU Y,ZHANG L Y,et al. Cryptanalyzing a class of image encryption schemes based on Chinese remainder theorem[J].Signal Process-image,2014,29:914-920. [3]徐兵,袁立. 基于改进Logistic混沌映射的数字图像加密算法研究[J]. 计算机测量与控制,2014(7):165-167.
[4]RAMADAN N,AHMED H,ELDIN H,et al.Permutation-substitution image encryption scheme based on a modified chaotic map in transform domain[J].Journal of Central South University,2017,24(9):2049-2057.
[5]张颖,杨玥.Arnold双置乱图像加密算法[J].辽宁工程技术大学学报(自然科学版),2013,32(10):1429-1432.
[6]朱淑芹,王文宏,孙忠贵.对一种基于比特置乱的超混沌图像加密算法的选择明文攻击[J].计算机科学,2017,44(11):273-278.
[7]林青,王延江,王珺.基于超混沌系统的图像加密算法[J].中国科学:技术科学,2016,46(9):910-918.
[8]杨志宏,屈双惠,张彩霞,等.一个四翼超混沌系统在图像加密技术中的应用[J].西南大学学报(自然科学版),2018,40(5):170-177.
[9]VASILEIOS B,CHRIS G. Antonopoulos. Hyperchaos & labyrinth chaos: revisiting Thomas-Rssler systems[J]. Journal of Theoretical Biology,2018.
[10]张勋才,刘奕杉,崔光照.基于DNA编码和超混沌系统的图像加密算法[J].计算机应用研究,2019(4):1-6.
[11]ZHANG S,YANG L,ZHANG Y,et al.A Bit Level Encryption Scheme Based on Hyper-chaotic System Combing with the Ideology of Central Dogma[J].Chinese Journal of Electronics,2018,27(3):595-602.
[12]LI G D,WANG L L. Double chaotic image encryption algorithm based on optimal sequence solution and fractional transform [J]. Visual Computer,2018,1(1):1-11.
[13]胡克亚,王君,王莹.基于分块压缩感知和改进幻方变换的图像加密[J].激光技术,2018:1-11.
[14]王静,蒋国平.一种超混沌图像加密算法的安全性分析及其改进[J].物理学报,2011,60(6):83-93.

相关文章 15

[1]	周连兵, 周湘贞, 崔学荣. 基于双重二维混沌映射的压缩图像加密方案 Compressed Image Encryption Scheme Based on Dual Two Dimensional Chaotic Map 计算机科学, 2022, 49(8): 344-349. https://doi.org/10.11896/jsjkx.210700235
[2]	赵耿, 王超, 马英杰. 基于混沌序列相关性的峰均比抑制研究 Study on PAPR Reduction Based on Correlation of Chaotic Sequences 计算机科学, 2022, 49(5): 250-255. https://doi.org/10.11896/jsjkx.210400292
[3]	赵耿, 李文健, 马英杰. 基于离散动力学反控制的混沌序列密码算法 Chaotic Sequence Cipher Algorithm Based on Discrete Anti-control 计算机科学, 2022, 49(4): 376-384. https://doi.org/10.11896/jsjkx.210300116
[4]	赵耿, 宋鑫宇, 马英杰. 混沌子载波调制的无人机安全数据链路 Secure Data Link of Unmanned Aerial Vehicle Based on Chaotic Sub-carrier Modulation 计算机科学, 2022, 49(3): 322-328. https://doi.org/10.11896/jsjkx.210200022
[5]	张赛男, 李千目. 一种基于Logistic-Sine-Cosine映射的彩色图像加密算法 Color Image Encryption Algorithm Based on Logistic-Sine-Cosine Mapping 计算机科学, 2022, 49(1): 353-358. https://doi.org/10.11896/jsjkx.201000041
[6]	石克翔, 保利勇, 丁洪伟, 官铮, 赵雷. 基于生成时间序列均匀优化的混沌人工蜂群算法 Chaos Artificial Bee Colony Algorithm Based on Homogenizing Optimization of Generated Time Series 计算机科学, 2021, 48(7): 270-280. https://doi.org/10.11896/jsjkx.200800087
[7]	刘汉卿, 康晓东, 高万春, 李博, 王亚鸽, 张华丽, 白放. 基于多模型的COVID-19传播研究 Research on Propagation of COVID-19 Based on Multiple Models 计算机科学, 2021, 48(6A): 196-202. https://doi.org/10.11896/jsjkx.201100086
[8]	刘奇, 陈红梅, 罗川. 基于改进的蝗虫优化算法的红细胞供应预测方法 Method for Prediction of Red Blood Cells Supply Based on Improved Grasshopper Optimization Algorithm 计算机科学, 2021, 48(2): 224-230. https://doi.org/10.11896/jsjkx.200600016
[9]	李建军, 汪校铃, 杨玉, 付佳. 基于CQPSO移动群智感知紧急任务分配方法研究 Emergency Task Assignment Method Based on CQPSO Mobile Crowd Sensing 计算机科学, 2020, 47(6A): 273-277. https://doi.org/10.11896/JsJkx.190700040
[10]	班多晗, 吕鑫, 王鑫元. 基于一维混沌映射的高效图像加密算法 Efficient Image Encryption Algorithm Based on 1D Chaotic Map 计算机科学, 2020, 47(4): 278-284. https://doi.org/10.11896/jsjkx.190600059
[11]	禹峰,龚馨慧,王世红. 基于快速置换和可选择像素扩散的医疗图像加密算法的安全性分析 Cryptanalysis of Medical Image Encryption Algorithm Using High-speed Scrambling and Pixel Adaptive Diffusion 计算机科学, 2020, 47(2): 276-280. https://doi.org/10.11896/jsjkx.190100051
[12]	樊英, 张达敏, 陈忠云, 王依柔, 徐航, 王栎桥. 基于改进乌鸦算法的车载网络频谱分配方案 Spectrum Allocation Scheme of Vehicular Ad Hoc Networks Based on Improved Crow Search Algorithm 计算机科学, 2020, 47(12): 273-278. https://doi.org/10.11896/jsjkx.190900199
[13]	田军锋, 彭静静, 左宪禹, 葛强, 范明虎. 基于循环移位和多混沌映射的图像加密算法 Image Encryption Algorithm Based on Cyclic Shift and Multiple Chaotic Maps 计算机科学, 2020, 47(10): 327-331. https://doi.org/10.11896/jsjkx.190800003
[14]	李娟,方贤文,王丽丽,刘祥伟. 基于日志自动机的业务流程混沌活动过滤方法 Chaotic Activity Filter Method for Business Process Based on Log Automaton 计算机科学, 2020, 47(1): 66-71. https://doi.org/10.11896/jsjkx.181102110
[15]	范星冉, 宋国治, 李加正. 基于混合混沌大爆炸算法的三维片上网络低功耗映射 Low-power Mapping Method for Three-dimensional Network on Chip Based on Hybrid Chaotic Big Bang-big Crunch 计算机科学, 2019, 46(8): 100-105. https://doi.org/10.11896/j.issn.1002-137X.2019.08.016

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed