A note on the generalized Hamming weights of Reed-Muller codes
Information Theory
2018-07-04 v1 math.IT
Abstract
In this note, we give a very simple description of the generalized Hamming weights of Reed--Muller codes. For this purpose, we generalize the well-known Macaulay representation of a nonnegative integer and state some of its basic properties.
Cite
@article{arxiv.1807.01123,
title = {A note on the generalized Hamming weights of Reed-Muller codes},
author = {Peter Beelen},
journal= {arXiv preprint arXiv:1807.01123},
year = {2018}
}
Comments
8 pages