A joint image compression and encryption scheme based on a novel coupled map lattice system and DNA operations

Yuanyuan LI; Xiaoqing YOU; Jianquan LU; Jungang LOU

doi:10.1631/FITEE.2200645

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A joint image compression and encryption scheme based on a novel coupled map lattice system and DNA operations

Regular Papers | Updated：2023-07-03

- A joint image compression and encryption scheme based on a novel coupled map lattice system and DNA operations
- 一种基于新型耦合映像格子系统和DNA运算的图像压缩加密方案
- Frontiers of Information Technology & Electronic Engineering Vol. 24, Issue 6, Pages: 813-827(2023)
- Affiliations：
  
  1.Department of Applied Mathematics, College of Science, Nanjing Forestry University, Nanjing 210037, China
  2.School of Cyber Science and Engineering, Southeast University, Nanjing 210096, China
  3.Department of Systems Science, School of Mathematics, Southeast University, Nanjing 210096, China
  4.Yangtze Delta Region (Huzhou) Institute of Intelligent Transportation, Huzhou University, Huzhou 313000, China
  5.School of Computer Science and Technology, Zhejiang Normal University, Jinhua 321004, China
- Author bio：
  
  ‡Corresponding author
- Funds：
- DOI：10.1631/FITEE.2200645
  CLC： TN919.81
- Received：16 December 2022，
  
  Accepted：02 March 2023，
  
  Published：0 June 2023
- Accepted：
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Yuanyuan LI, Xiaoqing YOU, Jianquan LU, et al. A joint image compression and encryption scheme based on a novel coupled map lattice system and DNA operations[J]. Frontiers of Information Technology & Electronic Engineering, 2023, 24(6): 813-827.
DOI：

Yuanyuan LI, Xiaoqing YOU, Jianquan LU, et al. A joint image compression and encryption scheme based on a novel coupled map lattice system and DNA operations[J]. Frontiers of Information Technology & Electronic Engineering, 2023, 24(6): 813-827. DOI： 10.1631/FITEE.2200645.

摘要

本文提出一种基于混合线性-非线性耦合逻辑映像格子（NMLNCML）系统和DNA运算的有效图像加密方案。所提出的NMLNCML系统增强了系统的混沌特性，适用于图像加密。该加密系统具有大量的密钥空间；对密钥的敏感性高；对选择明文攻击、统计学攻击和差分攻击具有很强的抵抗能力；并且对一定程度的噪声和数据丢失有很好的鲁棒性。提出的图像密码系统采用置乱—压缩—扩散的架构。首先，通过离散小波变换将普通图像变换为稀疏系数矩阵，并对系数矩阵执行与明文相关的Arnold置乱。然后，采用半张量积（STP）压缩感知对系数矩阵进行压缩和加密。最后，通过DNA随机编码、DNA加法，和位XOR运算来扩散压缩系数矩阵。NMLNCML系统用于在压缩传感的STP测量矩阵和DNA操作中的伪随机序列中生成混沌元素。SHA-384函数用于产生明文密钥，从而使所提出的加密算法对原始图像高度敏感。仿真结果和性能分析验证了该方案的安全性和有效性。

Abstract

In this paper

an efficient image encryption scheme based on a novel mixed linear–nonlinear coupled map lattice (NMLNCML) system and DNA operations is presented. The proposed NMLNCML system strengthens the chaotic characteristics of the system

and is applicable for image encryption. The main advantages of the proposed method are embodied in its extensive key space; high sensitivity to secret keys; great resistance to chosen-plaintext attack

statistical attack

and differential attack; and good robustness to noise and data loss. Our image cryptosystem adopts the architecture of scrambling

compression

and diffusion. First

a plain image is transformed to a sparsity coefficient matrix by discrete wavelet transform

and plaintext-related Arnold scrambling is performed on the coefficient matrix. Then

semi-tensor product (STP) compressive sensing is employed to compress and encrypt the coefficient matrix. Finally

the compressed coefficient matrix is diffused by DNA random encoding

DNA addition

and bit XOR operation. The NMLNCML system is applied to generate chaotic elements in the STP measurement matrix of compressive sensing and the pseudo-random sequence in DNA operations. An SHA-384 function is used to produce plaintext secret keys and thus makes the proposed encryption algorithm highly sensitive to the original image. Simulation results and performance analyses verify the security and effectiveness of our scheme.

关键词

Keywords

references

Alvarez G , Li SJ , 2006 . Some basic cryptographic requirements for chaos-based cryptosystems . Int J Bifurc Chaos , 16 ( 8 ): 2129 - 2151 . doi: 10.1142/S0218127406015970 http://doi.org/10.1142/S0218127406015970

Chai XL , Chen YR , Broyde L , 2017 . A novel chaos-based image encryption algorithm using DNA sequence operations . Opt Lasers Eng , 88 : 197 - 213 . doi: 10.1016/j.optlaseng.2016.08.009 http://doi.org/10.1016/j.optlaseng.2016.08.009

Chai XL , Fu XL , Gan ZH , et al. , 2020a . An efficient chaos-based image compression and encryption scheme using block compressive sensing and elementary cellular automata . Neur Comput Appl , 32 ( 9 ): 4961 - 4988 . doi: 10.1007/s00521-018-3913-3 http://doi.org/10.1007/s00521-018-3913-3

Chai XL , Wu HY , Gan ZH , et al. , 2020b . An efficient visually meaningful image compression and encryption scheme based on compressive sensing and dynamic LSB embedding . Opt Lasers Eng , 124 : 105837 . doi: 10.1016/j.optlaseng.2019.105837 http://doi.org/10.1016/j.optlaseng.2019.105837

Chai XL , Fu JY , Gan ZH , et al. , 2022a . An image encryption scheme based on multi-objective optimization and block compressed sensing . Nonl Dyn , 108 ( 3 ): 2671 - 2704 . doi: 10.1007/s11071-022-07328-3 http://doi.org/10.1007/s11071-022-07328-3

Chai XL , Wang YJ , Chen XH , et al. , 2022b . TPE-GAN: thumbnail preserving encryption based on GAN with key . IEEE Signal Process Lett , 29 : 972 - 976 . doi: 10.1109/LSP.2022.3163685 http://doi.org/10.1109/LSP.2022.3163685

Chen JX , Zhu ZL , Zhang LB , et al. , 2018 . Exploiting self-adaptive permutation-diffusion and DNA random encoding for secure and efficient image encryption . Signal Process , 142 : 340 - 353 . doi: 10.1016/j.sigpro.2017.07.034 http://doi.org/10.1016/j.sigpro.2017.07.034

Chen L , Li CQ , Li C , 2022 . Security measurement of a medical communication scheme based on chaos and DNA coding . J Vis Commun Image Represent , 83 : 103424 . doi: 10.1016/j.jvcir.2021.103424 http://doi.org/10.1016/j.jvcir.2021.103424

Chen TH , Zhang M , Wu JH , et al. , 2016 . Image encryption and compression based on kronecker compressed sensing and elementary cellular automata scrambling . Opt Laser Technol , 84 : 118 - 133 . doi: 10.1016/j.optlastec.2016.05.012 http://doi.org/10.1016/j.optlastec.2016.05.012

Donoho DL , 2006 . Compressed sensing . IEEE Trans Inform Theory , 52 ( 4 ): 1289 - 1306 . doi: 10.1109/TIT.2006.871582 http://doi.org/10.1109/TIT.2006.871582

Feng W , He YG , Li HM , et al. , 2019 . A plain-image-related chaotic image encryption algorithm based on DNA sequence operation and discrete logarithm . IEEE Access , 7 : 181589 - 181609 . doi: 10.1109/ACCESS.2019.2959137 http://doi.org/10.1109/ACCESS.2019.2959137

Fira M , 2015 . Applications of compressed sensing: compression and encryption . Health and Bioengineering Conf , p. 1 - 4 . doi: 10.1109/EHB.2015.7391505 http://doi.org/10.1109/EHB.2015.7391505

Gan ZH , Chai XL , Zhang JT , et al. , 2020 . An effective image compression-encryption scheme based on compressive sensing (CS) and game of life (GOL) . Neur Comput Appl , 32 ( 17 ): 14113 - 14141 . doi: 10.1007/s00521-020-04808-8 http://doi.org/10.1007/s00521-020-04808-8

Guo SF , Liu Y , Gong LH , et al. , 2018 . Bit-level image cryptosystem combining 2D hyper-chaos with a modified non-adjacent spatiotemporal chaos . Multimed Tools Appl , 77 ( 16 ): 21109 - 21130 . doi: 10.1007/s11042-017-5570-4 http://doi.org/10.1007/s11042-017-5570-4

Hu GQ , Xiao D , Wang Y , et al. , 2017 . An image coding scheme using parallel compressive sensing for simultaneous compression-encryption applications . J Vis Commun Image Represent , 44 : 116 - 127 . doi: 10.1016/j.jvcir.2017.01.022 http://doi.org/10.1016/j.jvcir.2017.01.022

Hu HH , Liu JD , Shang K , et al. , 2018 . Parallel image encryption algorithm based on integer chaos and DNA coding . Comput Eng Des , 39 ( 8 ): 2401 - 2406 ( in Chinese ). doi: 10.16208/j.issn1000-7024.2018.08.001 http://doi.org/10.16208/j.issn1000-7024.2018.08.001

Kafedziski V , Stojanovski T , 2011 . Compressive sampling with chaotic dynamical systems . 19 th Telecommunications Forum , p. 695 - 698 . doi: 10.1109/TELFOR.2011.6143641 http://doi.org/10.1109/TELFOR.2011.6143641

Kaneko K , 1993 . Theory and Applications of Coupled Map Lattices . John Wiley & Sons , Hoboken, USA .

Li LX , Liu LF , Peng HP , et al. , 2019 . Flexible and secure data transmission system based on semitensor compressive sensing in wireless body area networks . IEEE Int Things J , 6 : 3212 - 3227 . doi: 10.1109/JIOT.2018.2881129 http://doi.org/10.1109/JIOT.2018.2881129

Li LX , Wen GQ , Wang ZM , et al. , 2020 . Efficient and secure image communication system based on compressed sensing for IoT monitoring applications . IEEE Trans Multimed , 22 ( 1 ): 82 - 95 . doi: 10.1109/TMM.2019.2923111 http://doi.org/10.1109/TMM.2019.2923111

Li XD , Song SJ , Wu JH , 2019 . Exponential stability of nonlinear systems with delayed impulses and applications . IEEE Trans Autom Contr , 64 ( 10 ): 4024 - 4034 . doi: 10.1109/TAC.2019.2905271 http://doi.org/10.1109/TAC.2019.2905271

Li XD , Peng DX , Cao JD , 2020 . Lyapunov stability for impulsive systems via event-triggered impulsive control . IEEE Trans Autom Contr , 65 ( 11 ): 4908 - 4913 . doi: 10.1109/TAC.2020.2964558 http://doi.org/10.1109/TAC.2020.2964558

Li XH , Zhou LL , Tan F , 2022 . An image encryption scheme based on finite-time cluster synchronization of two-layer complex dynamic networks . Soft Comput , 26 ( 2 ): 511 - 525 . doi: 10.1007/s00500-021-06500-y http://doi.org/10.1007/s00500-021-06500-y

Lu JQ , Sun LJ , Liu Y , et al. , 2018 . Stabilization of Boolean control networks under aperiodic sampled-data control . SIAM J Contr Optim , 56 ( 6 ): 4385 - 4404 . doi: 10.1137/18M1169308 http://doi.org/10.1137/18M1169308

Lu JQ , Li BW , Zhong J , 2021 . A novel synthesis method for reliable feedback shift registers via Boolean networks . Sci China Inform Sci , 64 ( 5 ): 152207 . doi: 10.1007/s11432-020-2981-4 http://doi.org/10.1007/s11432-020-2981-4

Peng YX , He SB , Sun KH , 2021 . A higher dimensional chaotic map with discrete memristor . Int J Electron Commun , 129 : 153539 . doi: 10.1016/j.aeue.2020.153539 http://doi.org/10.1016/j.aeue.2020.153539

Rani M , Dhok SB , Deshmukh RB , 2018 A systematic review of compressive sensing: concepts, implementations and applications . IEEE Access , 6 : 4875 - 4894 . doi: 10.1109/ACCESS.2018.2793851 http://doi.org/10.1109/ACCESS.2018.2793851

Shao WD , Cheng MF , Luo CK , et al. , 2019 . An image encryption scheme based on hybrid electro-optic chaotic sources and compressive sensing . IEEE Access , 7 : 156582 - 156591 . doi: 10.1109/ACCESS.2019.2949704 http://doi.org/10.1109/ACCESS.2019.2949704

Song CY , Qiao YL , 2015 . A novel image encryption algorithm based on DNA encoding and spatiotemporal chaos . Entropy , 17 ( 10 ): 6954 - 6968 . doi: 10.3390/e17106954 http://doi.org/10.3390/e17106954

Sreedhanya AV , Soman KP , 2012 . Secrecy of cryptography with compressed sensing . Int Conf on Advances in Computing and Communications , p. 207 - 210 . doi: 10.1109/ICACC.2012.48 http://doi.org/10.1109/ICACC.2012.48

Testa M , Bianchi T , Magli E , 2020 . Secrecy analysis of finite-precision compressive cryptosystems . IEEE Trans Inform Forens Secur , 15 : 1 - 13 . doi: 10.1109/TIFS.2019.2918089 http://doi.org/10.1109/TIFS.2019.2918089

Wang XY , Wang T , 2012 . A novel algorithm for image encryption based on couple chaotic systems . Int J Mod Phys B , 26 ( 30 ): 1250175 . doi: 10.1142/S0217979212501755 http://doi.org/10.1142/S0217979212501755

Wang XY , Liu PB , 2020 . A new image encryption scheme based on a novel one-dimensional chaotic system . IEEE Access , 8 : 174463 - 174479 . doi: 10.1109/ACCESS.2020.3024869 http://doi.org/10.1109/ACCESS.2020.3024869

Wang Y , Wong KW , Liao XF , et al. , 2011 . A new chaos-based fast image encryption algorithm . Appl Soft Comput , 11 ( 1 ): 514 - 522 . doi: 10.1016/j.asoc.2009.12.011 http://doi.org/10.1016/j.asoc.2009.12.011

Wen WY , Hong YK , Fang YM , et al. , 2020 . A visually secure image encryption scheme based on semi-tensor product compressed sensing . Signal Process , 173 : 107580 . doi: 10.1016/j.sigpro.2020.107580 http://doi.org/10.1016/j.sigpro.2020.107580

Wu CW , Wu LG , Liu JX , et al. , 2020 . Active defense-based resilient sliding mode control under denial-of-service attacks . IEEE Trans Inform Forens Secur , 15 : 237 - 249 . doi: 10.1109/TIFS.2019.2917373 http://doi.org/10.1109/TIFS.2019.2917373

Wu Y , Noonan JP , Agaian S , 2011 . NPCR and UACI randomness tests for image encryption . J Sel Areas Telecommun , April Edition , p.31 - 38 .

Xie D , Peng HP , Li LX , et al. , 2016 . Semi-tensor compressed sensing . Dig Signal Process , 58 : 85 - 92 . doi: 10.1016/j.dsp.2016.07.003 http://doi.org/10.1016/j.dsp.2016.07.003

Xu H , Tong XJ , Zhang M , et al. , 2016 . Dynamic video encryption algorithm for H.264/AVC based on a spatiotemporal chaos system . J Opt Soc Am A , 33 ( 6 ): 1166 - 1174 . doi: 10.1364/JOSAA.33.001166 http://doi.org/10.1364/JOSAA.33.001166

Zhang LY , Liu YS , Pareschi F , et al. , 2018 . On the security of a class of diffusion mechanisms for image encryption . IEEE Trans Cybern , 48 ( 4 ): 1163 - 1175 . doi: 10.1109/TCYB.2017.2682561 http://doi.org/10.1109/TCYB.2017.2682561

Zhang YQ , Wang XY , 2014 . Spatiotemporal chaos in mixed linear-nonlinear coupled logistic map lattice . Phys A Stat Mech Appl , 402 : 104 - 118 . doi: 10.1016/j.physa.2014.01.051 http://doi.org/10.1016/j.physa.2014.01.051

Zhang YQ , Wang XY , Liu J , et al. , 2016 . An image encryption scheme based on the MLNCML system using DNA sequences . Opt Lasers Eng , 82 : 95 - 103 . doi: 10.1016/j.optlaseng.2016.02.002 http://doi.org/10.1016/j.optlaseng.2016.02.002

Zhong YS , Xu X , 2015 . A novel image encryption method based on couple mapped lattice and two-stage diffusion . Int J Secur Appl , 9 ( 11 ): 281 - 292 .

Zhou SW , He Y , Liu YH , et al. , 2021 . Multi-channel deep networks for block-based image compressive sensing . IEEE Trans Multimed , 23 : 2627 - 2640 . doi: 10.1109/TMM.2020.3014561 http://doi.org/10.1109/TMM.2020.3014561

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