Akbal, YıldırımAkbal, YildirimTemur, Burcu GulmezGülmez Temür, BurcuOngan, PinarMathematics2024-07-052024-07-05202010092-78721532-412510.1080/00927872.2019.16915782-s2.0-85075473740https://doi.org/10.1080/00927872.2019.1691578https://hdl.handle.net/20.500.14411/3482We show that there are no permutation trinomials of the form hox 1/4 x5 ox5oq1 xq1 1 over Fq2 where q is not a power of 2. Together with a result of Zha, Z., Hu, L., Fan, S., hox permutes Fq2 if q 1/4 2k where k 2 omod 4, this gives a complete classification of those q's such that hox permutes F-q(2).eninfo:eu-repo/semantics/closedAccessPermutation polynomialsfinite fieldsArticleQ348416081612WOS:000497942000001