A note on the generalized Hamming weights of Reed–Muller codes

Peter Beelen

doi:10.1007/s00200-018-0369-8

A note on the generalized Hamming weights of Reed–Muller codes

Peter Beelen^*

^*Corresponding author for this work

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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.

Original language	English
Journal	Applicable Algebra in Engineering, Communications and Computing
Volume	30
Issue number	3
Pages (from-to)	233-242
ISSN	0938-1279
DOIs	https://doi.org/10.1007/s00200-018-0369-8
Publication status	Published - 1 Jan 2018

Keywords

Generalized Hamming weight
Macaulay decomposition
Reed–Muller code

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10.1007/s00200-018-0369-8

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A note on the generalized Hamming weights of Reed–Muller codes

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