Gülmez Temür, BurcuTemür, Burcu GülmezÖzkaya, BuketMathematics2024-09-102024-09-10202401300-00981303-614910.55730/1300-0098.35402-s2.0-85200392961https://doi.org/10.55730/1300-0098.3540https://search.trdizin.gov.tr/en/yayin/detay/1252453/on-a-class-of-permutation-trinomials-over-finite-fieldsÖzkaya, Buket/0000-0003-2658-5441In this paper, we study the permutation properties of the class of trinomials of the form f (x) = x4q+1 + λ1xq+4 + λ2x2q+3 ∈ Fq2 [x] , where λ1, λ2 ∈ Fq and they are not simultaneously zero. We find all necessary and sufficient conditions on λ1 and λ2 such that f (x) permutes Fq2 , where q is odd and q = 22k+1, k ∈eninfo:eu-repo/semantics/openAccessPermutation polynomialsfinite fieldsHasse -Weil boundcryptographyArticleQ2Q2484778792WOS:0012657344000101252453