Application of algebraic lattices in image encryption: methods comparison and analysis

In this paper, we have introduced a novel color image encryption technique that relies on repairing a secret encryption key using algebraic lattices represented as Hasse diagrams and cryptography based on the matrices. The color images are converted into its RGB components ( Red, Green and Blue ) and each color is converted into a matrix of integers between 0 and 255. In this encryption process we proposed tow color images Lena of type JPEG and Baboon of type BMP with similar size, and we have involved the mathematical operations: addition, multiplication, and binary calculations, also be carried out a comparative study between certain encryption algorithms on this proposed color images. The experimental results reveal that the presented methods of image encryption has the advantages of large key space, strong robustness and good encryption and decryption performance. In addition, the product method has the merits of excellent performance of encryption.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-05-21
DOI
https://doi.org/10.5269/bspm.69633
Primary Topic
Chaos-based Image/Signal Encryption
Type
article
Field-Weighted Citation Impact
0.00
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article

Application of algebraic lattices in image encryption: methods comparison and analysis

Abdelkarim Boua, Abdelhakim Chillali, Latifa Bedda
Boletim da Sociedade Paranaense de Matemática
Chaos-based Image/Signal Encryption
article

Application of algebraic lattices in image encryption: methods comparison and analysis

Abdelkarim Boua, Abdelhakim Chillali, Latifa Bedda
article en

Abstract

In this paper, we have introduced a novel color image encryption technique that relies on repairing a secret encryption key using algebraic lattices represented as Hasse diagrams and cryptography based on the matrices. The color images are converted into its RGB components ( Red, Green and Blue ) and each color is converted into a matrix of integers between 0 and 255. In this encryption process we proposed tow color images Lena of type JPEG and Baboon of type BMP with similar size, and we have involved the mathematical operations: addition, multiplication, and binary calculations, also be carried out a comparative study between certain encryption algorithms on this proposed color images. The experimental results reveal that the presented methods of image encryption has the advantages of large key space, strong robustness and good encryption and decryption performance. In addition, the product method has the merits of excellent performance of encryption.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Sidi Mohamed Ben Abdellah University (MA)
Openalex Percentile: Top 79%
Chaos-based Image/Signal Encryption
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Application of algebraic lattices in image encryption: methods comparison and analysis — Abdelkarim Boua, Abdelhakim Chillali, et al. · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS