Classification of permutation polynomials of the form $$x^3g(x^{q-1})$$ x 3 g ( x q - 1 ) of $${mathbb F}_{q^2}$$ F q 2 where $$g(x)=x^3+bx+c$$ g ( x ) = x 3 + b x + c and $$b,c in {mathbb F}_q^*$$ b,c ∈ F q ∗

Designs, Codes and Cryptography - We classify all permutation polynomials of the form $$x^3g(x^{q-1})$$ of $${mathbb F}_{q^2}$$ where $$g(x)=x^3+bx+c$$ and $$b,c in {mathbb F}_q^*$$ . Moreover...