An image encryption algorithm based on improved baker transformation and chaotic S-box

doi:10.1088/1674-1056/abdea3

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 60507-060507.doi: 10.1088/1674-1056/abdea3

An image encryption algorithm based on improved baker transformation and chaotic S-box

Xing-Yuan Wang(王兴元)^†, Huai-Huai Sun(孙怀怀)^‡, and Hao Gao(高浩)

School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China

收稿日期:2020-12-08 修回日期:2021-01-15 接受日期:2021-01-22 出版日期:2021-05-18 发布日期:2021-06-01
通讯作者: Xing-Yuan Wang, Huai-Huai Sun E-mail:xywang@dlmu.edu.cn;2471054392@qq.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61672124), the Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund, China (Grant No. MMJJ20170203), the Liaoning Provincial Science and Technology Innovation Leading Talents Program Project, China (Grant No. XLYC1802013), the Key Research and Development Projects of Liaoning Province, China (Grant No. 2019020105-JH2/103), the Jinan City ‘20 universities’ Funding Projects Introducing Innovation Team Program, China (Grant No. 2019GXRC031), and the "Double First-rate" Construction Project ("Innovation Project"), China (Grant No. SSCXXM013).

An image encryption algorithm based on improved baker transformation and chaotic S-box

Xing-Yuan Wang(王兴元)^†, Huai-Huai Sun(孙怀怀)^‡, and Hao Gao(高浩)

School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China

Received:2020-12-08 Revised:2021-01-15 Accepted:2021-01-22 Online:2021-05-18 Published:2021-06-01
Contact: Xing-Yuan Wang, Huai-Huai Sun E-mail:xywang@dlmu.edu.cn;2471054392@qq.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61672124), the Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund, China (Grant No. MMJJ20170203), the Liaoning Provincial Science and Technology Innovation Leading Talents Program Project, China (Grant No. XLYC1802013), the Key Research and Development Projects of Liaoning Province, China (Grant No. 2019020105-JH2/103), the Jinan City ‘20 universities’ Funding Projects Introducing Innovation Team Program, China (Grant No. 2019GXRC031), and the "Double First-rate" Construction Project ("Innovation Project"), China (Grant No. SSCXXM013).

摘要/Abstract

摘要： The algorithm is an image encryption algorithm based on the improved baker transformation and chaotic substitution box (S-box). It mainly uses the initial values and parameters of a one-dimensional logistic chaotic system as an encryption key. Specifically, in the image scrambling stage, the algorithm primarily uses an improved baker transform method to process the image. In the image diffusion stage, the algorithm first uses the chaotic S-box method to process the encryption key. Secondly, an exclusive OR (XOR) operation is performed on the image and the encryption key to initially diffuse the image. Finally, the image is again diffused using the method of ortho XOR. Simulation analysis shows that the algorithm can achieve good encryption effect, simple and easy implementation, and good security. In the digital image communication transmission, it has good practical value.

关键词: image encryption, improved baker transformation, chaotic S-box, chaotic sequence

Abstract: The algorithm is an image encryption algorithm based on the improved baker transformation and chaotic substitution box (S-box). It mainly uses the initial values and parameters of a one-dimensional logistic chaotic system as an encryption key. Specifically, in the image scrambling stage, the algorithm primarily uses an improved baker transform method to process the image. In the image diffusion stage, the algorithm first uses the chaotic S-box method to process the encryption key. Secondly, an exclusive OR (XOR) operation is performed on the image and the encryption key to initially diffuse the image. Finally, the image is again diffused using the method of ortho XOR. Simulation analysis shows that the algorithm can achieve good encryption effect, simple and easy implementation, and good security. In the digital image communication transmission, it has good practical value.

Key words: image encryption, improved baker transformation, chaotic S-box, chaotic sequence

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Ac (Low-dimensional chaos) 07.05.Pj (Image processing)

Xing-Yuan Wang(王兴元), Huai-Huai Sun(孙怀怀), and Hao Gao(高浩). An image encryption algorithm based on improved baker transformation and chaotic S-box[J]. 中国物理B, 2021, 30(6): 60507-060507.

Xing-Yuan Wang(王兴元), Huai-Huai Sun(孙怀怀), and Hao Gao(高浩). An image encryption algorithm based on improved baker transformation and chaotic S-box[J]. Chin. Phys. B, 2021, 30(6): 60507-060507.

参考文献

[1] Tan J T, Luo Y R, Zhou Z and Hai W H 2016 Chin. Phys. Lett. 33 070302
[2] Wang C P, Wang X Y, Xia Z Q, Ma B and Shi Y Q 2020 IEEE T. Circ. Syst. Vid. 30 4440
[3] Wang X Y and Sun H H 2020 Opt. Laser Technol. 122 105854
[4] Wang C P, Wang X Y, Xia Z Q and Zhang C 2019 Inf. Sci. 470 109
[5] Wang Y P, Liu S T and Li H 2020 Nonlinear Dyn. 102 579
[6] Liu S T and Wang P 2018 Fractal Control Theory (Singapore: Springer) p. 3
[7] Liu S T, Zhang Y P and Liu C A 2020 Fractal Control and Its Applications (Singapore: Springer) p. 235
[8] Wang M L 2007 Journal of Mianyang Normal University 26 126
[9] Tian Y and Lu Z M 2017 AIP Adv. 7 085008
[10] Farah T, Rhouma R and Belghith S 2017 Nonlinear Dyn. 88 1059
[11] Khan M, Shah T, Mahmood H, Gondal M A and Hussain I 2012 Nonlinear Dyn. 70 2303
[12] Zhao X F 2003 Journal of Northwest Normal University (Natural Science) 39 26
[13] Wang Y, Wong K W, Li C B and Li Y 2012 Phys. Lett. A 376 827
[14] Liu H J, Kadir A, Sun X B and Li Y L 2018 Multimed. Tools Appl. 77 1391
[15] Zhang X P, Guo R, Chen H W, Zhao Z M and Wang J Y 2018 Chin. Phys. B 27 080701
[16] Hai Q, Liu S T and Hu C Q 2019 Asian J. Control 21 649
[17] Yan D W, Wang L D and Duan S K 2018 Acta Phys. Sin. 67 110502 (in Chinese)
[18] Zhang F F and Liu S T 2015 Asian J. Control 17 297
[19] Wang X Y, Zhang J J, Zhang F C and Cao G H 2019 Chin. Phys. B 28 040504
[20] Zhang L P, Liu Y, Wei Z C, Jiang H B and Bi Q S 2020 Chin. Phys. B 29 060501
[21] Zhen P, Zhao G, Min L Q and Jin X 2016 Multimed. Tools Appl. 75 6303
[22] Chai X L, Gan Z H, Yuan K, Chen Y R and Liu X X 2019 Neural Comput. Appl. 31 219
[23] Xian Y J and Wang X Y 2021 Inf. Sci. 547 1154
[24] Wang X Y and Gao S 2020 Inf. Sci. 507 16
[25] Wang X Y, Feng L and Zhao H Y 2019 Inf. Sci. 486 340
[26] Wang X G, Li M, Yu N N, Xi S X, Wang X L and Lang L Y 2019 Acta Phys. Sin. 68 240503 (in Chinese)
[27] Chen T H and Wu C S 2010 Inf. Sci. 180 1690
[28] Xi S X, Yu N N, Wang X L, Zhu Q F, Dong Z, Wang W, Liu X H and Wang H P 2019 Acta Phys. Sin. 68 110502 (in Chinese)
[29] Guo Y, Shao L P and Yang L 2015 Appl. Res. Comput. 32 1131
[30] Ye R S 2011 Opt. Commun. 284 5290
[31] Zhang X C, Wang L F, Zhou Z and Niu Y 2019 IEEE Access 7 74734
[32] Wang X Y, Wang Y, Wang S W, Zhang Y Q and Wu X J 2018 Chin. Phys. B 27 110502
[33] Liu L F and Miao S X 2016 Multimed. Tools Appl. 76 16511
[34] Wang X Y and Gao S 2020 Inf. Sci. 539 195
[35] Li Q, Wang X Y, Wang X Y, Ma B, Wang C P and Shi Y Q 2021 Inf. Sci. 553 19
[36] Shi H and Wang L D 2019 Acta Phys. Sin. 68 200501 (in Chinese)

An image encryption algorithm based on improved baker transformation and chaotic S-box

An image encryption algorithm based on improved baker transformation and chaotic S-box

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