A Secret Image Sharing Based on Logistic-Chebyshev Chaotic Map and Chinese Remainder Theorem

Author:

Hilmi Asmaa1ORCID,Mezroui Soufiane1ORCID,El Oualkadi Ahmed1ORCID

Affiliation:

1. Abdelmalek Essaadi University, Morocco

Abstract

Visual Cryptography, Logistic-Chebyshev map, Chinese Remainder Theorem, share.lves breaking up a secret image into $n$ secured components known as shares. The secret image is recovered with utmost secrecy when all of these shares are lined up and piled together. A (3, 3)-secret image sharing scheme (SIS) is provided in this paper by fusing the Chinese Remainder Theorem (CRT) and the Logistic-Chebyshev map (LC). Sharing a confidential image created with CRT has various benefits, including lossless recovery, the lack of further encryption, and minimal recovery calculation overhead. Firstly, we build a chaotic sequence using an LC map. The secret value pixel for the secret image is permuted in order to fend off differential attackers. To encrypt the scrambled image, we apply our CRT technique to create three shares. Finally, the security analysis of our (3, 3)-SIS scheme is demonstrated and confirmed by some simulation results.

Publisher

Vladimir Andrunachievici Institute of Mathematics and Computer Science

Subject

Artificial Intelligence,Computational Mathematics,Computational Theory and Mathematics,Control and Optimization,Computer Networks and Communications,Computer Science Applications,Modeling and Simulation,Software

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