Significance of Certain Algebraic Structures in Cryptography

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The book explores advanced concepts in group theory and cryptography, introducing a novel group theoretic method to enhance the cryptographic features of substitution-boxes (S-boxes). Utilizing a finite Abelian group of order 3720, the author examines various performance metrics such as nonlinearity and differential uniformity. The improved S-box's effectiveness is validated through statistical analyses for image encryption applications, showcasing the potential of the proposed approach for cryptographic enhancements.