A short note on polynomials f(X) = X + AX1+q2(q−1)/4 + BX1+3q2(q−1)/4 ∈ 𝔽q2[X], q even
Daniele Bartoli, Matteo Bonini · Journal of Algebra and Its Applications · 2022
An alternative proof of the necessary conditions on [Formula: see text] for [Formula: see text] to be a permutation polynomial in [Formula: see text], [Formula: see text] even, is given. This proof involves standard arguments from algebraic geometry over finite fields and fast symbolic computations.