A note on full weight spectrum codes
Information Theory
2022-07-18 v4 Combinatorics
math.IT
Abstract
A linear code is said to be a full weight spectrum (FWS) code if there exist codewords of each nonzero weight less than or equal to . In this brief communication we determine necessary and sufficient conditions for the existence of linear full weight spectrum (FWS) codes. Central to our approach is the geometric view of linear codes, whereby columns of a generator matrix correspond to points in .
Keywords
Cite
@article{arxiv.1807.11798,
title = {A note on full weight spectrum codes},
author = {Tim L. Alderson},
journal= {arXiv preprint arXiv:1807.11798},
year = {2022}
}