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A Novel Image Encryption Algorithm Based on the Two-Dimensional Logistic Map and the Latin Square Image Cipher

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3D Research

Abstract

In this paper, we introduce a new hybrid system consisting of a permutation-substitution network based on two different encryption techniques: chaotic systems and the Latin square. This homogeneity between the two systems allows us to provide the good properties of confusion and diffusion, robustness to the integration of noise in decryption. The security analysis shows that the system is secure enough to resist brute-force attack, differential attack, chosen-plaintext attack, known-plaintext attack and statistical attack. Therefore, this robustness is proven and justified.

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Abbreviations

DC:

Cyclicshift

Dcr:

Decryption

Ecr:

Encryption

GCL:

Latin Square Generator

GS:

Sequence Generator

PCCL:

Column Latin Square Permutation

PCL:

Latin Square Permutation

PLCL:

Row Latin Square Permutation

SCCL:

Column Latin Square Substitution

SLCL:

Row Latin Square Substitution

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Authors and Affiliations

  1. LIROSA, Department of Mathematics and Computer Science, Faculty of Sciences, Abdelmalek Essaâdi University, B.P 2121, M’Hannech II, 93030, Tetouan, Morocco

    M. Machkour & M. L. Benmaati

  2. LSI, Department of Mathematics, Physics and Computer Sciences, Polydisciplinary Faculty of Taza, Sidi Mohamed Ben Abdellah University, B.P 1223, Taza, Morocco

    A. Saaidi

  3. LIIAN, Department of Mathematics and Computer Science, Faculty of Sciences, Dhar El Mehraz, Sidi Mohamed Ben Abdellah University, B.P 1796, Atlas, Fez, Morocco

    A. Saaidi

Authors
  1. M. Machkour
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  2. A. Saaidi
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  3. M. L. Benmaati
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Correspondence to M. Machkour.

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Machkour, M., Saaidi, A. & Benmaati, M.L. A Novel Image Encryption Algorithm Based on the Two-Dimensional Logistic Map and the Latin Square Image Cipher. 3D Res 6, 36 (2015). https://doi.org/10.1007/s13319-015-0068-1

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  • DOI: https://doi.org/10.1007/s13319-015-0068-1

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