Gülmez Temür, BurcuOzbudak, FerruhTemur, Burcu GulmezMathematics2024-07-052024-07-05202321936-24471936-245510.1007/s12095-023-00641-72-s2.0-85153037495https://doi.org/10.1007/s12095-023-00641-7https://hdl.handle.net/20.500.14411/2532We completely characterize all permutation trinomials of the form f (x) = x(3)(1 + ax(q-1) + bx(2(q-1))) over F-q2, where a, b is an element of F-q* and all permutation trinomials of the form f (x) = x(3)(1 + bx(2(q-1)) + cx(3(q-1))) over F-q2, where b, c is an element of F-q* in both even and odd characteristic cases.eninfo:eu-repo/semantics/closedAccessPermutation PolynomialsFinite FieldsAbsolutely IrreducibleComplete characterization of some permutation polynomials of the form x<SUP>r</SUP>(1+ax<SUP>s1(q-1)</SUP>+bx<SUP>s2(q-1)</SUP>) over F<sub>q2</sub>ArticleQ2Q3154775793WOS:000974287000002