Ongan, PınarTemür, Burcu GülmezMathematics2024-07-052024-07-05201901300-00981303-614910.3906/mat-1806-832-s2.0-85073155586https://doi.org/10.3906/mat-1806-83https://search.trdizin.gov.tr/tr/yayin/detay/337193/some-permutations-and-complete-permutation-polynomials-over-finite-fieldsIn this paper we determine $b\\in F_{q^n}^\\ast$ for which the polynomial $f(x)=x^{s+1}+bx\\in F_{q^n}\\left[x\\right]$ is a permutationpolynomial and determine $b\\in F_{q^n}^\\ast$ for which the polynominal $f(x)=x^{s+1}+bx\\in F_{q^n}\\left[x\\right]$ is a complete permutationpolynomial where $s=\\frac{q^n-1}t,\\;t\\in\\mathbb{Z}^+$ such that $\\left.t\\;\\right|\\;q^n-1$.eninfo:eu-repo/semantics/openAccessMatematikArticleQ2Q243521542160WOS:000488222100006337193