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  • Open Access

    ARTICLE

    Nonlinear Components of a Block Cipher over Eisenstein Integers

    Mohammad Mazyad Hazzazi1, Muhammad Sajjad2, Zaid Bassfar3, Tariq Shah2,*, Ashwag Albakri4

    CMC-Computers, Materials & Continua, Vol.77, No.3, pp. 3659-3675, 2023, DOI:10.32604/cmc.2023.039013 - 26 December 2023

    Abstract In block ciphers, the nonlinear components, also known as substitution boxes (S-boxes), are used with the purpose to induce confusion in cryptosystems. For the last decade, most of the work on designing S-boxes over the points of elliptic curves, chaotic maps, and Gaussian integers has been published. The main purpose of these studies is to hide data and improve the security levels of crypto algorithms. In this work, we design pair of nonlinear components of a block cipher over the residue class of Eisenstein integers (EI). The fascinating features of this structure provide S-boxes pair More >

  • Open Access

    ARTICLE

    Designing Pair of Nonlinear Components of a Block Cipher over Gaussian Integers

    Muhammad Sajjad1,*, Tariq Shah1, Robinson Julian Serna2

    CMC-Computers, Materials & Continua, Vol.75, No.3, pp. 5287-5305, 2023, DOI:10.32604/cmc.2023.035347 - 29 April 2023

    Abstract In block ciphers, the nonlinear components, also known as substitution boxes (S-boxes), are used with the purpose of inducing confusion in cryptosystems. For the last decade, most of the work on designing S-boxes over the points of elliptic curves has been published. The main purpose of these studies is to hide data and improve the security levels of crypto algorithms. In this work, we design pair of nonlinear components of a block cipher over the residue class of Gaussian integers (GI). The fascinating features of this structure provide S-boxes pair at a time by fixing More >

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