基于L-R混沌系统和双重扩散的图像加密算法

费敏; 李国东

doi:10.13568/j.cnki.651094.651316.2020.12.09.0001

您当前的位置：

首页 >

文章列表页 >

基于L-R混沌系统和双重扩散的图像加密算法

更新时间：2026-01-21

- 基于L-R混沌系统和双重扩散的图像加密算法
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 38, Issue 3, Pages: 290-299(2021)
- 作者机构：
  
  新疆财经大学统计与数据科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2020.12.09.0001
  CLC： TP309.7
- Published：2021
- 稿件说明：
移动端阅览
[1]费敏,李国东.基于L-R混沌系统和双重扩散的图像加密算法[J].新疆大学学报(自然科学版)(中英文),2021,38(03):290-299+333.
[1]费敏,李国东.基于L-R混沌系统和双重扩散的图像加密算法[J].新疆大学学报(自然科学版)(中英文),2021,38(03):290-299+333. DOI： 10.13568/j.cnki.651094.651316.2020.12.09.0001.

DOI：10.13568/j.cnki.651094.651316.2020.12.09.0001.

摘要

为解决加密算法中的密码只受密钥控制、与明文无关

并且加密使用的混沌系统较为单一而容易被攻击破解、安全性差等问题

提出一种密钥与明文紧密相关联的双重扩散图像加密方案.将密钥分为两级

初始密钥代入超Lorenz混沌系统迭代生成混沌序列

运用混沌序列从明文图像中选像素点;为了提升加密效率

对已有的运算规则进行改进

将改进后的运算方式生成第二级密钥

代入Rossler混沌映射生成混沌序列用于加密

对明文按照"正向扩散-动态约瑟夫置乱-逆向扩散"的顺序实现加密.通过实验仿真

可以证明该算法具有抗统计和差分攻击能力

密钥空间足够的大

加密效率和安全性都很高

能够相当好的将图像信息隐藏

在信息安全方面有非常大的实际意义和应用价值.

Abstract

In order to solve the problems that the cipher in the encryption algorithm is only controlled by the key and has nothing to do with the plaintext and the chaotic system used in encryption is relatively simple

so it is easy to be attacked and cracked and the security is poor

a double diffusion image encryption scheme with key and plaintext is proposed. The key is divided into two levels. The initial key is substituted into the super Lorenz chaotic system to generate the chaotic sequence iteratively. The chaotic sequence is used to select the pixels from the plaintext image. In order to improve the encryption efficiency

the existing operation rules are improved. The second level key is generated by the improved operation method

which is substituted into the Rossler chaotic map to generate the chaotic sequence for encryption. The encryption is realized in the order of "dynamic scrambling reverse diffusion". Through the experimental simulation

it can be proved that the algorithm has the ability to resist statistical and differential attacks

the key space is large enough

the encryption efficiency and security are very high

it can well hide the image information

and has great practical significance and application value in information security.

关键词

Keywords

references

马聪,李国东.基于L-K双混沌系统的彩色位级图像加密算法[J].计算机应用与软件,2020,37(3):321-326.MA C,LI G D.Color image encryption algorithm based on L-K double chaotic system[J].Computer Applications and Software,2020,37(3):321-326.(in Chinese)

王瑶,韩亚军.基于双向相关扩散与非线性混沌S盒的图像加密算法[J].包装工程,2019,40(15):243-251.WANG Y,HAN Y J.Image encryption algorithm based on bidirectional correlation diffusion and nonlinear chaotic S-box[J].Packaging Engineering,2019,40(15):243-251.(in Chinese)

牛莹,张勋才.基于变步长约瑟夫遍历和DNA动态编码的图像加密算法[J].电子与信息学报,2020,42(6):1383-1391.NIU Y,ZHANG X C.Image encryption algorithm based on variable step size Joseph traversal and DNA dynamic coding[J].Acta Electronica Sinica,2020,42(6):1383-1391.(in Chinese)

王兴元,王明军.超混沌Lorenz系统[J].物理学报,2007,56(9):5136-5141.WANG X Y,WANG M J.Hyperchaotic Lorenz system[J].Acta Physica Sinica,2007,56(9):5136-5141.(in Chinese)

ZHANG Y.Plain text related image encryption scheme using chaotic map[J].Telkomnika Indonesian Journal of Electrical Enginering,2014,12(1):635-643.

ZHANG Y.Two-level secret key image encryption method based on piecewise linear map and logistic map[J].Applied Mechanics&Materials,2013,241/244:2728-2731.

张勇.混沌数字图像加密[M].北京:清华大学出版社，2016.ZHANG Y.Chaotic digital image encryption[M].Beijing:Tsinghua University Press,2016.(in Chinese)

谢国波,高兆曦.明文关联的多混沌彩色图像加密算法[J].计算机工程与设计,2019,40(4):920-930.XIE G B,GAO Z X.Multi chaotic color image encryption algorithm based on plaintext correlation[J].Computer Engineering and Design,2019,40(4):920-930.(in Chinese)

陈士华,谢进,陆君.Rossler混沌系统的追踪控制与同步[J].物理学报,2002,4(4):749-752.CHEN S H,XIE J,LU J.Tracking control and synchronization of Rossler chaotic system[J].Acta Physica Sinica,2002,4(4):749-752.(in Chinese)

陈炜,郭媛,敬世伟.基于深度学习压缩感知与复合混沌系统的通用图像加密算法[J].物理学报,2020,69(24):99-111.CHEN W,GUO Y,JING S W.General image encryption algorithm based on deep learning compressed sensing and composite chaotic system[J].Acta Physica Sinica,2020,69(24):99-111.(in Chinese)

赵国敏,李国东.基于广义Henon映射以及CNN超混沌系统图像加密方案[J].信阳师范学院学报（自然科学版）,2015,28(1):141-145.ZHAO G M,LI G D.Image encryption scheme based on generalized Henon mapping and CNN hyperchaotic system[J].Journal of Xinyang Normal University(Nat Sci),2015,28(1):141-145.(in Chinese)

郭毅,邵利平,杨璐.基于约瑟夫和Henon映射的比特位图像加密算法[J].计算机应用研究,2015,32(4):1131-1137.GUO Y,SHAO L P,YANG L.Bit image encryption algorithm based on Joseph and Henon mapping[J].Computer Application Research,2015,32(4):1131-1137.(in Chinese)

ROSSLER O E.An equation for continuous chaos[J].Phys Lett A,1996(57):397-400.

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[J].计算机科学,2020,47(4):278-284.BAN D H,LYU X,WANG X Y.Efficient image encryption algorithm based on one dimensional chaotic map[J].Computer Science,2020,47(4):278-284.(in Chinese)

宋金林,张绍武.整合Cha Cha20哈希运算的分块扩散自适应图像加密算法[J].中国图象图形学报,2016,21(6):698-710.SONG J L,ZHANG S W.Block diffusion adaptive image encryption algorithm integrating chacha20 hash operation[J].Chinese Journal of Image Graphics,2016,21(6):698-710.(in Chinese)

黄胡晏,饶从军.一种新型混沌图像加密算法[J].华中师范大学学报(自然科学版),2017,51(4):441-448.HUANG H Y,RAO C J.A new chaotic image encryption algorithm[J].Journal of Central China Normal University (Nat Sci),2017,51(4):441-448.(in Chinese)

庄志本,李军,刘静漪,等.基于新的五维多环多翼超混沌系统的图像加密算法[J].物理学报,2020,69(4):50-63.ZHUANG Z B,LI J,LIU J Y,et al.Image encryption algorithm based on new five dimensional multi ring multi wing hyperchaotic system[J].Acta Physica Sinica,2020,69(4):50-63.(in Chinese)

刘志军,刘丹.基于耦合混沌和循环移位的彩色图像加密算法[J].新疆大学学报(自然科学版),2017,34(4):440-445.LIU Z J,LIU D.Color image encryption algorithm based on coupled chaos and cyclic shift[J].Journal of Xinjiang University(Nat Sci),2017,34(4):440-445.(in Chinese)

余萍,闻恺.基于混沌交换控制表与关联动态引擎的图像加密算法[J].新疆大学学报(自然科学版),2017,34(4):459-466.YU P,WEN K.Image encryption algorithm based on chaos exchange control table and correlation dynamic engine[J].Journal of Xinjiang University(Nat Sci),2017,34(4):459-466.(in Chinese)

古丽孜拉,王兴元.基于多个一维混沌映射系统的多重加密算法[J].新疆大学学报(自然科学版),2008,26(2):228-234.Gulizila,WANG X Y.Multiple encryption algorithm based on multiple one-dimensional chaotic mapping systems[J].Journal of Xinjiang University(Nat Sci),2008,36(2):228-234.(in Chinese)

杨帆,臧睿.基于伪中心可逆矩阵的图像加密[J].数学的实践与认识,2020,50(19):253-260.YANG F,ZANG R.Image encryption based on pseudo central invertible matrix[J].Practice and Understanding of Mathematics,2020,50(19):253-260.(in Chinese)

黄林荃,刘会,王志颖,等.结合混沌映射与DNA计算的自适应图像加密算法[J].小型微型计算机系统,2020,41(9):1959-1965.HUANG L Q,LIU H,WANG Z Y,et al.Adaptive image encryption algorithm based on chaotic mapping and DNA computing[J].Minicomputer System,2020,41(9):1959-1965.(in Chinese)

梁颖,张绍武.位级同步置乱扩散和像素级环形扩散图像加密算法[J].中国图象图形学报,2018,23(6):814-826.LIANG Y,ZHANG S W.Bit level synchronous scrambling diffusion and pixel level ring diffusion image encryption algorithm[J].Chinese Journal of Image Graphics,2018,23(6):814-826.(in Chinese)

Views

205

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

⁰