A short note on polynomials f (X) = X + A X 1 + q 2 (q - 1) / 4 + B X 1 + 3 q 2 (q - 1) / 4 q 2 [ X ], q even

Daniele Bartoli; Matteo Bonini

doi:10.1142/S021949882350144X

A short note on polynomials f (X) = X + A X 1 + q 2 (q - 1) / 4 + B X 1 + 3 q 2 (q - 1) / 4 q 2 [ X ], q even

Daniele Bartoli, Matteo Bonini

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

1 Citationer (Scopus)

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Abstract

An alternative proof of the necessary conditions on A,B q2 for f(X) = X + AX1+q2(q-1)/4 + BX1+3q2(q-1)/4 to be a permutation polynomial in q2, q even, is given. This proof involves standard arguments from algebraic geometry over finite fields and fast symbolic computations.

Originalsprog	Engelsk
Artikelnummer	2350144
Tidsskrift	Journal of Algebra and its Applications
Vol/bind	22
Udgave nummer	7
ISSN	0219-4988
DOI	https://doi.org/10.1142/S021949882350144X
Status	Udgivet - 2022

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© 2023 World Scientific Publishing Company.

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10.1142/S021949882350144X

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AB - An alternative proof of the necessary conditions on A,B q2 for f(X) = X + AX1+q2(q-1)/4 + BX1+3q2(q-1)/4 to be a permutation polynomial in q2, q even, is given. This proof involves standard arguments from algebraic geometry over finite fields and fast symbolic computations.

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KW - finite fields

KW - Permutation polynomials

KW - permutation trinomials

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A short note on polynomials f (X) = X + A X 1 + q 2 (q - 1) / 4 + B X 1 + 3 q 2 (q - 1) / 4 q 2 [ X ], q even

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