Results 1 to 10 of about 193 (124)
A Novel Cipher-Based Data Encryption with Galois Field Theory [PDF]
Sensors, 2023 Both the act of keeping information secret and the research on how to achieve it are included in the broad category of cryptography. When people refer to “information security,” they are referring to the study and use of methods that make data transfers ...
Mohammad Mazyad Hazzazi +3 more
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On the Constructive Inverse Problem in Differential Galois Theory# [PDF]
Communications in Algebra, 2005 Several misprints have been corrected and the statement of Propositions 3.2 and 3.4 have been made more precise and their proofs ...
Michael Singer
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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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Design and Implementation of Advanced Encryption Standard by New Substitution Box in Galois Field (𝟐𝟖) [PDF]
International Journal of Telecommunications, 2022 An inverse multiplexing method for irreducible polynomials is presented in this paper based on the theory of substitution boxes. The method is based on the theory of substitution boxes.
Ashraf Mohra +4 more
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Seven Small Simple Groups Not Previously Known to Be Galois Over
Mathematics, 2022 In this note we realize seven small simple groups as Galois groups over Q. The technique that we employ is the determination of the images of Galois representations attached to modular and automorphic forms, relying in two cases on recent results of ...
Luis Dieulefait +2 more
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Coaction and double-copy properties of configuration-space integrals at genus zero
Journal of High Energy Physics, 2021 We investigate configuration-space integrals over punctured Riemann spheres from the viewpoint of the motivic Galois coaction and double-copy structures generalizing the Kawai-Lewellen-Tye (KLT) relations in string theory.
Ruth Britto +3 more
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Abelian constraints in inverse Galois theory [PDF]
manuscripta mathematica, 2008 Let \(k\) be a field, \(B\) a \(k\)-curve (i.e. a smooth projective and geometrically connected \(k\)-scheme of dimension 1), \(G\) a finite group, \(f:Y\to B\) a \(k\)-\(G\)-cover of curves with group \(G\) and ramification indices \(e_1,\dots,e_r\) and let \(P\) be ant subgroup of \(G\) of index \(m.\) Assume that the branch divisor of \(f:Y\to B ...
Cadoret, Anna, Dèbes, Pierre
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On the Inverse Problem of Galois Theory [PDF]
Transactions of the American Mathematical Society, 1975 Let k k be a field, F
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On the inverse problem of Galois theory [PDF]
Publicacions Matemàtiques, 1992 The problem of the construction of number fields with Galois group over Q a given finite groups has made considerable progress in recent years. The aim of this paper is to survey the current state of this problem, giving the most significant methods developed in connection with it.
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On the inverse problem of Galois theory of differential fields [PDF]
Proceedings of the American Mathematical Society, 1964 1. All fields considered here are of characteristic 0. Let F be a field, let C be an algebraically closed subfield of F. Let G be a connected algebraic group defined over C. F(G) denotes the field of all rational functions on G defined over F. If gCG then F(g) denotes the field generated by g over F. We shall say that a derivation of F(G) commutes with
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