Gives exact counts of a in F_q such that x^n (x^{(q-1)/r} + a) is a permutation polynomial for r=2 and r=3 via rational points on curves.
Wang, On Permutation Polynomials , Finite Fields Appl
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Permutation Binomials over Finite Fields
Gives exact counts of a in F_q such that x^n (x^{(q-1)/r} + a) is a permutation polynomial for r=2 and r=3 via rational points on curves.