Enhanced security of affine ciphers using digraph transformation and a modified three pass protocol [PDF]
Scientific ReportsEnsuring secure data transmission over public channels remains a fundamental challenge in modern communication systems. Cryptography, through encryption and decryption processes, is vital for protecting sensitive information from unauthorized access ...
Seble Bete +4 more
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Cryptographic protection of RGB images using SPN over Eisenstein integer ring modulo Eisenstein prime [PDF]
Scientific ReportsThis research introduces a fortified cryptographic paradigm for safeguarding RGB image data, founded upon a substitution–permutation network (SPN) architecture defined over the residue class rings of Eisenstein integers modulo a selected prime element ...
Muhammad Sajjad +4 more
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A novel color images security-based on SPN over the residue classes of quaternion integers $$\:\varvec{H}{\left(\mathbb{Z}\right)}_{\varvec{\pi\:}}$$ [PDF]
Scientific ReportsThe exponential growth of multimedia data transmission has intensified the demand for advanced image encryption systems capable of resisting contemporary cryptanalytic attacks while maintaining computational efficiency.
Muhammad Sajjad, Nawaf A. Alqwaifly
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Multiple color images security by SPN over the residue classes of Gaussian integer $$\:Z{\left[i\right]}_{h}$$ [PDF]
Scientific ReportsIn this paper, the authors present the design of a new pair of 8 × 8 S-boxes over the residue classes of Gaussian integers $$\:Z{\left[i\right]}_{h}$$ and their usage for the encryption of multiple RGB images using a three-stage Substitution-Permutation ...
Muhammad Sajjad +4 more
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RGB image encryption using SPN with a novel block cipher over simple graph adjacency matrices and Galois fields [PDF]
Scientific ReportsThis paper presents a construction of a secure image encryption scheme with graph theory, Galois field, and substitution-permutation network (SPN) for enhanced multimedia data security.
Muhammad Sajjad, Nawaf A. Alqwaifly
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Tilings from some non-irreducible, Pisot substitutions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 A generating method of self-affine tilings for Pisot, unimodular, irreducible substitutions, as well as the fact that the associated substitution dynamical systems are isomorphic to rotations on the torus are established in P. Arnoux and S. Ito.
Shunji Ito, Hiromi Ei
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Error correction by Reed–Solomon codes using its automorphisms
Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2021 The article explores the syndrome invariants of АГ-group of automorphisms of Reed–Solomon codes (RS-codes) that are a joint group of affine and cyclic permutations. The found real invariants are a set of norms of N Г-orbits that make up one or another АГ-
V. A. Lipnitsky, S. I. Semyonov
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Binding affinity of aniline-substituted dodecaborates to cyclodextrins
Chemical Communications, 2022 Structure–activity relationships of dodecaborate-substituted nitroanilines as hosts in cyclodextrins have been elucidated.
Tarek Marei +5 more
openaire +3 more sources
Syndrome spectrums of error orbits in RS-codes
Системный анализ и прикладная информатика, 2020 This article is devoted to the research of the properties of syndromes of errors in Reed-Solomon codes. RS-codes are built on non-binary alphabets. So, unlike BCH-codes, RS-codes contain an extremely large variety of correctable errors.
V. A. Lipnitski, S. I. Semyonov
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The automorphisms and error orbits of Reed – Solomon codes
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2020 The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
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