In this paper we use algebraic curves and other algebraic number theory methods to show the validity of a permutation polynomial conjecture regarding f(X)=Xq(p-1)+1+αXpq+Xq+p-1, on finite fields Fq2,q=pk, from [A. Rai, R. Gupta, Further results on a class of permutation trinomials, Cryptogr. Commun. 15 (2023), 811–820].
A proof of a conjecture on permutation trinomials
Bartoli, Daniele;
2025
Abstract
In this paper we use algebraic curves and other algebraic number theory methods to show the validity of a permutation polynomial conjecture regarding f(X)=Xq(p-1)+1+αXpq+Xq+p-1, on finite fields Fq2,q=pk, from [A. Rai, R. Gupta, Further results on a class of permutation trinomials, Cryptogr. Commun. 15 (2023), 811–820].File in questo prodotto:
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