Browsing by Author "Ozkaya, Buket"
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Article Citation Count: 0On a class of permutation trinomials over finite fields(Tubitak Scientific & Technological Research Council Turkey, 2024) Gülmez Temür, Burcu; Ozkaya, Buket; MathematicsIn this paper, we study the permutation properties of the class of trinomials of the form f (x ) = x( 4q+1 )+ lambda (1 )x (q +4) + lambda( 2 )x (2q +3) is an element of F (q) 2 [x ] , where lambda( 1 ), lambda (2) is an element of F (q) and they are not simultaneously zero. We find all necessary and sufficient conditions on lambda (1) and lambda (2) such that f (x ) permutes F( q )2 , where q is odd and q = 2( 2k+1) , k is an element of N.