Dembowski-Ostrom polynomials and Dickson polynomials
Number Theory
2025-01-28 v4
Abstract
We give a complete classification of Dembowski-Ostrom polynomials from the composition of Dickson polynomials of arbitrary kind and monomials over finite fields. 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 the obtained Dembowski-Ostrom polynomials. Dembowski-Ostrom polynomials play a crucial role in coding theory and cryptography.
Cite
@article{arxiv.1911.01131,
title = {Dembowski-Ostrom polynomials and Dickson polynomials},
author = {Sartaj Ul Hasan and Mohit Pal},
journal= {arXiv preprint arXiv:1911.01131},
year = {2025}
}
Comments
15 pages