A Class of Linear Codes with a Few Weights
Information Theory
2016-01-27 v2 math.IT
Abstract
Linear codes have been an interesting subject of study for many years, as linear codes with few weights have applications in secrete sharing, authentication codes, association schemes, and strongly regular graphs. In this paper, a class of linear codes with a few weights over the finite field are presented and their weight distributions are also determined, where is an odd prime. Some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes.
Cite
@article{arxiv.1512.07103,
title = {A Class of Linear Codes with a Few Weights},
author = {Can Xiang and Chunming Tang and Keqin Feng},
journal= {arXiv preprint arXiv:1512.07103},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1503.06512 by other authors