On the third weight of generalized Reed-Muller codes
Information Theory
2014-01-22 v1 math.IT
Number Theory
Abstract
In this paper, we study the third weight of generalized Reed-Muller codes. We prove under some restrictive condition that the third weight of generalized Reed-Muller codes depends on the third weight of generalized Reed-Muller codes of small order with two variables. In some cases, we are able to determine the third weight and the third weight codewords of generalized Reed-Muller codes.
Cite
@article{arxiv.1401.5234,
title = {On the third weight of generalized Reed-Muller codes},
author = {Elodie Leducq},
journal= {arXiv preprint arXiv:1401.5234},
year = {2014}
}