On linear codes and distinct weights
Combinatorics
2018-04-20 v2 Information Theory
math.IT
Abstract
We provide a combinatorial construction for linear codes attaining the maximum possible number of distinct weights. We then introduce the related problem of determining the existence of linear codes with an arbitrary number of distinct non-zero weights, and we completely determine a solution in the binary case.
Cite
@article{arxiv.1804.04373,
title = {On linear codes and distinct weights},
author = {Alessio Meneghetti},
journal= {arXiv preprint arXiv:1804.04373},
year = {2018}
}