A three-dimensional bit-level image encryption algorithm with Rubik's cube method

Abstract This paper proposes a new three-dimensional bit-level image encryption scheme with Rubik’s cube method (3D-BERC). In the permutation process, the Rubik’s cube method and bit-level encryption principle are combined to realize the image scrambling operation in three-dimensional space. Through the contraction mapping principle, the ascending and reducing dimension operation can be implemented effectively. In the diffusion process, we design an improved two-dimensional diffusion structure, which can spread slight change in plain image to the whole cipher image. Experimental results and simulation analysis illustrate the security and the validity of the proposed scheme.

[1]  Xiaoling Huang,et al.  An efficient symmetric image encryption algorithm based on an intertwining logistic map , 2017, Neurocomputing.

[2]  Le Wang,et al.  Learning to upgrade internet information security and protection strategy in big data era , 2020, Comput. Commun..

[3]  Huishan Wu,et al.  An Asymmetric Image Encryption Algorithm Based on a Fractional-Order Chaotic System and the RSA Public-Key Cryptosystem , 2020, Int. J. Bifurc. Chaos.

[4]  Jing Xu,et al.  Research on the improved algorithm for image quantum encryption in multimedia networks , 2017, Comput. Electr. Eng..

[5]  Claude E. Shannon,et al.  Communication theory of secrecy systems , 1949, Bell Syst. Tech. J..

[6]  Zhiliang Zhu,et al.  An image encryption algorithm based on compound homogeneous hyper-chaotic system , 2017, Nonlinear Dynamics.

[7]  Hejiao Huang,et al.  2D Logistic-Sine-coupling map for image encryption , 2018, Signal Process..

[8]  Xiaoling Huang,et al.  Image encryption and hiding algorithm based on compressive sensing and random numbers insertion , 2020, Signal Processing.

[9]  Li-Hua Gong,et al.  Multi-image compression-encryption scheme based on quaternion discrete fractional Hartley transform and improved pixel adaptive diffusion , 2020, Signal Process..

[10]  Lu Xu,et al.  A novel bit-level image encryption algorithm based on chaotic maps , 2016 .

[11]  Xingyuan Wang,et al.  A new image encryption algorithm based on chaos , 2012 .

[12]  L. Kocarev,et al.  Logistic map as a block encryption algorithm , 2001 .

[13]  Zhen Huang,et al.  Analysis of structural composition and representation of topological structures of Rubik's Cube mechanism , 2019, Mechanism and Machine Theory.

[14]  Reza Sabbaghi-Nadooshan,et al.  A new encryption algorithm for color images based on total chaotic shuffling scheme , 2015 .

[15]  Li Ming,et al.  Mobility analysis of multi-configuration Rubik's Cube mechanism based on the reciprocal screws , 2020 .

[16]  Wei Zhang,et al.  A chaos-based symmetric image encryption scheme using a bit-level permutation , 2011, Inf. Sci..

[17]  Qixiang Mei,et al.  An efficient pixel-level chaotic image encryption algorithm , 2018, Nonlinear Dynamics.

[18]  Dominique Barchiesi,et al.  A new image encryption scheme based on a chaotic function , 2012, Signal Process. Image Commun..

[19]  Yicong Zhou,et al.  2D Sine Logistic modulation map for image encryption , 2015, Inf. Sci..

[20]  Manish Kumar,et al.  A new RGB image encryption algorithm based on DNA encoding and elliptic curve Diffie-Hellman cryptography , 2016, Signal Process..

[21]  Changpin Li,et al.  A new method of determining chaos-parameter-region for the tent map , 2004 .

[22]  Li Li,et al.  A new approach to chaotic image encryption based on quantum chaotic system, exploiting color spaces , 2013, Signal Process..

[23]  Yicong Zhou,et al.  Cosine-transform-based chaotic system for image encryption , 2019, Inf. Sci..

[24]  Wei Zhang,et al.  Image encryption based on three-dimensional bit matrix permutation , 2016, Signal Process..

[25]  Xiao Liu,et al.  A novel chaos-based bit-level permutation scheme for digital image encryption , 2011 .

[26]  Xingyuan Wang,et al.  A novel one-dimensional sine powered chaotic map and its application in a new image encryption scheme , 2020, Inf. Sci..

[27]  Lin Teng,et al.  A bit-level image encryption algorithm based on spatiotemporal chaotic system and self-adaptive , 2012 .

[28]  Yicong Zhou,et al.  A new 1D chaotic system for image encryption , 2014, Signal Process..

[29]  S. Li,et al.  Cryptographic requirements for chaotic secure communications , 2003, nlin/0311039.

[30]  Luozhi Zhang,et al.  Image encryption using exclusive-OR with DNA complementary rules and double random phase encoding , 2019, Physics Letters A.

[31]  Wei Luo,et al.  Predicting the security threats of internet rumors and spread of false information based on sociological principle , 2020, Comput. Stand. Interfaces.

[32]  Qiang Zhang,et al.  Image encryption using DNA addition combining with chaotic maps , 2010, Math. Comput. Model..

[33]  Ahmed A. Abd El-Latif,et al.  Controlled alternate quantum walks based privacy preserving healthcare images in Internet of Things , 2020, Optics & Laser Technology.

[34]  Yicong Zhou,et al.  Image encryption using 2D Logistic-adjusted-Sine map , 2016, Inf. Sci..