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

A short note on polynomials f(X) = X plus AX(1+q2(q-1)/4) + BX (1+3q2(q-1)/4) is an element of F-q2[X], q even

Bartoli, D;
2022

Abstract

An alternative proof of the necessary conditions on A, B is an element of F-q2* for f(X) = X + AX(1+q2(q-1)/4) + BX (1+3q2(q-1)/4 )to be a permutation polynomial in F-q2, q even, is given. This proof involves standard arguments from algebraic geometry over finite fields and fast symbolic computations.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1534376
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