Determination of a type of permutation trinomials over finite fields, II

Let q   be a prime power. We determine all permutation trinomials of Fq2Fq2 of the form ax+bxq+x2q−1∈Fq2[x]ax+bxq+x2q−1∈Fq2[x]. The subclass of such permutation trinomials of Fq2Fq2 with a,b∈Fqa,b∈Fq was determined in a recent paper [6].