When the extension property does not hold
Information Theory
2016-07-19 v1 Combinatorics
math.IT
Abstract
A complete extension theorem for linear codes over a module alphabet and the symmetrized weight composition is proved. It is shown that an extension property with respect to arbitrary weight function does not hold for module alphabets with a noncyclic socle.
Cite
@article{arxiv.1512.05486,
title = {When the extension property does not hold},
author = {Dyshko Serhii},
journal= {arXiv preprint arXiv:1512.05486},
year = {2016}
}
Comments
11 pages