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   Articles with "permutation polynomials" as a keyword



A pseudo-random sequence generation scheme based on RNS and permutation polynomials

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recommendations! Published in 2017 at "Science China Information Sciences"

DOI: 10.1007/s11432-017-9279-3

Abstract: Long period pseudo-random sequence plays an important role in modern information processing systems. Base on residue number system (RNS) and permutation polynomials over finite fields, a pseudorandom sequence generation scheme is proposed in this paper.… read more here.

Keywords: random sequence; pseudo random; permutation polynomials; period ... See more keywords

Permutation Polynomials and Their Compositional Inverses

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recommendations! Published in 2025 at "Algebra Colloquium"

DOI: 10.1142/s1005386725000227

Abstract: In this paper, we provide a new general method of finding the compositional inverses of permutation polynomials with special types, and some new permutation polynomials and their compositional inverses are given. Moreover, we obtain a… read more here.

Keywords: compositional inverses; permutation; permutation polynomials; polynomials compositional ... See more keywords

Efficient Algorithms for Permutation Arrays from Permutation Polynomials

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recommendations! Published in 2025 at "Entropy"

DOI: 10.3390/e27101031

Abstract: We develop algorithms for computing permutation polynomials (PPs) using normalization, so-called F-maps and G-maps, and the Hermite criterion. This allows for a more efficient computation of PPs for larger degrees and for larger finite fields.… read more here.

Keywords: efficient algorithms; permutation; permutation polynomials; arrays permutation ... See more keywords

Construction of Permutation Polynomials Using Additive and Multiplicative Characters

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14081539

Abstract: Permutation is a natural phenomenon useful for understanding and explaining the structural and functional behavior of objects or concepts. The mathematical formulation of permutation behavior can be readily achieved by permutation polynomials. Permutation polynomials are… read more here.

Keywords: permutation polynomials; construction permutation; using additive; polynomials using ... See more keywords