Seven new champion linear codes
Combinatorics
2013-05-17 v1 Information Theory
math.IT
Abstract
We exhibit seven linear codes exceeding the current best known minimum distance d for their dimension k and block length n. Each code is defined over F_8, and their invariants [n,k,d] are given by [49,13,27], [49,14,26], [49,16,24], [49,17,23], [49,19,21], [49,25,16] and [49,26,15]. Our method includes an exhaustive search of all monomial evaluation codes generated by points in the [0,5]x[0,5] lattice square.
Keywords
Cite
@article{arxiv.1212.5197,
title = {Seven new champion linear codes},
author = {Gavin Brown and Alexander M. Kasprzyk},
journal= {arXiv preprint arXiv:1212.5197},
year = {2013}
}
Comments
10 pages, 4 figures