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Probabilistic Algorithm in Finite Fields
Published 2023“…We present probabilistic algorithms for the problems of finding an irreducible polynomial of degree n over a finite field, finding roots of a polynomial and factoring the polynomial into its irreducible factors over a finite field. …”
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Finite fields for computer scientists and engineers /
Published 1987Subjects: “…Finite fields (Algebra)…”
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Permutations involving squares in finite fields
Published 2022-04-01“…Let $ p $ be an odd prime and let $ \mathbb{F}_p $ be the finite field of $ p $ elements. In 2019, Sun studied some permutations involving squares in $ \mathbb{F}_p $. …”
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ISA Extensions for Finite Field Arithmetic
Published 2020-06-01“…The extension provides instructions that implement finite field operations with subsequent reduction of the result. …”
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Matrix powers over finite fields
Published 1992-01-01Subjects: “…finite fields and matrix powers.…”
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On permutation polynomials over finite fields
Published 1987-01-01“…A polynomial f over a finite field F is called a permutation polynomial if the mapping F→F defined by f is one-to-one. …”
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On the Lehmer conjecture and counting in finite fields
Published 2019-05-01“…On the Lehmer conjecture and counting in finite fields, Discrete Analysis 2019:5, 8pp. Let $\alpha$ be an algebraic number and let $a_0\prod_{i=1}^k(x-\alpha_i)$ be its minimal polynomial. …”
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Synchronization of networks over finite fields
Published 2021“…In this paper, the synchronization problem for networks over finite fields is investigated, which is a generalization of consensus and provides a new perspective for networks of agents with limited capacities of memory and communication. …”
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