Loading...
A divided-difference characterization of polynomials over finite fields of characteristic two
Author(s)
Kim, Veasna
Laohakosol, Vichian
Mavecha, Sukrawan
Date Issued
April 1, 2022
Type
Article
Abstract
For a finite field F of characteristic 2, an integer n≥ 3 , and for a function f: F→ F, if there is a function h: F→ F such that the divided difference f[x1, ⋯ , xn] on any n distinct elements of F satisfies f[x1, … , xn] = h(x1+ ⋯ + xn) , then f is a polynomial of degree at most n over F. This makes earlier work of Davies and Rousseau complete.
Citation
Aequationes Mathematicae, 96(2), 339-347, 2022