Determination of a Type of Permutation Trinomials over Finite Fields, II

preprint2014arXivOpen access

Abstract

Let qq be a prime power. We determine all permutation trinomials of Fq2\Bbb F_{q^2} of the form ax+bxq+x2q−1∈Fq2[x]ax+bx^q+x^{2q-1}\in\Bbb F_{q^2}[x]. The subclass of such permutation trinomials of Fq2\Bbb F_{q^2} with a,b∈Fqa,b\in\Bbb F_q was determined in a recent paper by the author.

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