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IMI/Publicaţii/CSJM/Ediţii/CSJM v.31, n.1 (91), 2023/

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

Authors: Asmaa Hilmi, Soufiane Mezroui, Ahmed El Oualkadi
Keywords: Visual Cryptography, Logistic-Chebyshev map, Chinese Remainder Theorem, share.

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.

Asmaa Hilmi
ORCID: https://orcid.org/0000-0002-4665-7177
Abdelmalek Essaadi University National School
of applied sciences of Tangier (ENSAT)
Laboratory of Information and Communication Technologies (LabTIC)
ENSA Tanger, Route Ziaten, BP 1818, Tanger principale, Morocco.
E-mail:

Soufiane Mezroui
ORCID: https://orcid.org/0000-0003-2705-9806
Abdelmalek Essaadi University National School
of applied sciences of Tangier (ENSAT)
Mathematics and Intelligent Systems Team (MASI) ENSA Tanger,
Route Ziaten, BP 1818, Tanger principale, Morocco.
E-mail:

Ahmed El Oualkadi
ORCID: https://orcid.org/0000-0002-4953-1000
Abdelmalek Essaadi University National School
of applied sciences of Tetuan (ENSATe)
Laboratory of Information and Communication Technologies (LabTIC)
ENSA Tetouan, Avenue Palestine B.P 2222, M’hannech II-Tetouan, Morocco.
E-mail:

DOI

https://doi.org/10.56415/csjm.v31.05

Fulltext

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