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.File in questo prodotto:
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