Cryptography and Communications, vol.15, no.4, pp.775-793, 2023 (SCI-Expanded)
We completely characterize all permutation trinomials of the form f(x) = x3(1 + axq-1+ bx2(q-1)) over Fq2, where a,b∈Fq∗ and all permutation trinomials of the form f(x) = x3(1 + bx2(q-1)+ cx3(q-1)) over Fq2, where b,c∈Fq∗ in both even and odd characteristic cases.