On the Divisibility of Trinomials by Maximum Weight Polynomials over F2
Rings and Algebras
2013-12-30 v1 Combinatorics
Abstract
Divisibility of trinomials by given polynomials over finite fields has been studied and used to construct orthogonal arrays in recent literature. Dewar et al.\ (Des.\ Codes Cryptogr.\ 45:1-17, 2007) studied the division of trinomials by a given pentanomial over to obtain the orthogonal arrays of strength at least 3, and finalized their paper with some open questions. One of these questions is concerned with generalizations to the polynomials with more than five terms. In this paper, we consider the divisibility of trinomials by a given maximum weight polynomial over and apply the result to the construction of the orthogonal arrays of strength at least 3.
Keywords
Cite
@article{arxiv.1312.7177,
title = {On the Divisibility of Trinomials by Maximum Weight Polynomials over F2},
author = {Ryul Kim and Ok-Hyon Song and Myong-Hui Ri},
journal= {arXiv preprint arXiv:1312.7177},
year = {2013}
}
Comments
10 pages, 1 figure