A Novel Quasigroup Substitution Scheme for Chaos Based Image Encryption

Abstract

A novel quasigroup substitution scheme for chaos based image encryption During last two decades, there has been a prolific growth in the chaos based image encryption algorithms. Up to an extent these algorithms have been able to provide an alternative to exchange large media files (images and videos) over the networks in a secure way. However, there have been some issues with the implementation of chaos based image ciphers in practice. One of them is reduced/small key space due to the fact that chaotic behavior is only observed for certain range of system parameters/initial conditions of the chaotic system used in such algorithms. To overcome this difficulty, we propose a simple, efficient and robust image encryption algorithm based on combined applications of quasigroups and chaotic standard map.The proposed image cipher is based on the Shannon's popular substitution-diffusion architecture where a quasigroup of order 256 and chaotic standard map have been used for the substitution and permutation of image pixels respectively. Due to the introduction of quasigroup as part of the secret key along with the parameter and initial conditions of the chaotic standard map, the key space has been increased significantly. The proposed image cipher is very fast due to the fact that the substitution based on the quasigroup operations is very simple and can be executed easily through the lookup table operations on Latin squares (which are Cayley operation tables of quasigroups) and the permutation is performed row-by-row as well as column-by-column using the pseudo random number sequences generated through the chaotic standard map. The security and performance have been analyzed through the histograms, correlation coefficients, information entropy, key sensitivity analysis, differential analysis, key space analysis etc. and the results prove the efficiency and robustness of the proposed image cipher against the possible security threats.

New Pseudo-Random Key Generator for IoT-security Model Based on a Novel 3D Coupled Map Lattice

“…The proposed method in [14] generates initial conditions using 3D logistic maps, thus, these conditions are used to scramble the image, then the encryption key is generated by another 3D logistic map, and the XORing operation is done after converting the image into DNA representation. A combination of quasigroups and the chaotic standard map has been proposed in [15] to overcome the shortage of key-space, the algorithm achieved both substitution procedures by quasigroup of order 256, and the permutation procedure is done by the standard chaotic map.…”

Color image encryption algorithm based on 3D spiral transform and radial diffusion

“…between the two cipher images [45]. Supposing the key utilized in the proposed algorithm is key , , We only increased a small error to one value and maintained the other six values to remain unchanged.…”