NEW FAMILIES OF PLANAR FUNCTIONS OVER FINITE FIELDS OF EVEN CHARACTERISTIC

Abstract

A polynomial over a finite field is called a permutation polynomial if its associate function is a bijective mapping. If is a permutation polynomial of for every non-zero then the polynomial is said to be a planar function over . In this article, we propose two classes of planar functions over finite fields for .

Keywords: Pseudo Planar functions, Planar functions, Linearized polynomials, Permutation polynomials.