Results 1 to 10 of about 94,460 (146)
Normal bases and irreducible polynomials
Finite Fields and Their Applications, 2018 Let $\mathbb{F}_q$ denote the finite field of $q$ elements and $\mathbb{F}_{q^n}$ the degree $n$ extension of $\mathbb{F}_q$. A normal basis of $\mathbb{F}_{q^n}$ over $\mathbb{F} _q$ is a basis of the form $\{\alpha,\alpha^q,\dots,\alpha^{q^{n-1 ...
Cao, Wei, Han, Shanmeng, Huang, Hua
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Irreducible decomposition of polynomial ideals
Journal of Symbolic Computation, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FORTUNA, ELISABETTA +2 more
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The H-polynomial of an irreducible representation
Journal of Algebra, 2011 Associated with the finite-dimensional rational representation \(\rho\colon G\to\text{End}(V)\) of a simple algebraic group \(G\) over an algebraically closed field \(K\) there is the monoid \(M_\rho:=\overline{K^*\rho(G)}\subseteq\text{End}(V)\) and projective \(G\times G\)-embedding \(\mathbb P_\rho=[M_\rho\setminus\{0\}]/K^*\).
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Characterization of irreducible polynomials over a special principal ideal ring [PDF]
Mathematica Bohemica, 2023 A commutative ring $R$ with unity is called a special principal ideal ring (SPIR) if it is a non integral principal ideal ring containing only one nonzero prime ideal, its length $e$ is the index of nilpotency of its maximal ideal. In this paper, we show
Brahim Boudine
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Hamming distance from irreducible polynomials over $\mathbb {F}_2$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We study the Hamming distance from polynomials to classes of polynomials that share certain properties of irreducible polynomials. The results give insight into whether or not irreducible polynomials can be effectively modeled by these more general ...
Gilbert Lee +2 more
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Irreducibility of Random Polynomials [PDF]
Experimental Mathematics, 2017 14 pages, 9 ...
Christian Borst +5 more
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Necessary and sufficient conditions for the existence of invariant algebraic curves
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We present a set of conditions enabling a polynomial system of ordinary differential equations in the plane to have invariant algebraic curves. These conditions are necessary and sufficient. Our main tools include factorizations over the field of Puiseux
Maria Demina
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Scientific Journal of Informatics, 2020 An irreducible polynomial is one of the main components in building an S-box with an algebraic technique approach. The selection of the precise irreducible polynomial will determine the quality of the S-box produced. One method for determining good S-box
Alamsyah Alamsyah
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High-Speed Variable Polynomial Toeplitz Hash Algorithm Based on FPGA
Entropy, 2023 In the Quantum Key Distribution (QKD) network, authentication protocols play a critical role in safeguarding data interactions among users. To keep pace with the rapid advancement of QKD technology, authentication protocols must be capable of processing ...
Si-Cheng Huang +4 more
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A modified Matrices Approach in Advanced Encryption Standard Algorithm [PDF]
Engineering and Technology Journal, 2019 The cryptographic algorithms became the main proceeding for protection of very important data from unauthorized access. There are several cryptographic algorithms to ensure the data, but algorithms must be selected according to speed, strength and the ...
Abdul Monem Rahma, Atheer Abbas
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