Dembowski-Ostrom polynomials and reversed Dickson polynomials
Number Theory
2021-05-12 v4
Abstract
We discuss the problem of classifying Dembowski-Ostrom polynomials from the composition of reversed Dickson polynomials of arbitrary kind and monomials over finite fields of odd characteristic. Moreover, by using a variant of the Weil bound for the number of points of affine algebraic curves over finite fields, we discuss the planarity of all such Dembowski-Ostrom polynomials. Planar Dembowski-Ostrom polynomials have applications in many areas including cryptography and coding theory.
Keywords
Cite
@article{arxiv.1905.01767,
title = {Dembowski-Ostrom polynomials and reversed Dickson polynomials},
author = {Neranga Fernando and Sartaj Ul Hasan and Mohit Pal},
journal= {arXiv preprint arXiv:1905.01767},
year = {2021}
}
Comments
20 pages