On diameter perfect constant-weight ternary codes
Combinatorics
2009-08-03 v2 Information Theory
math.IT
Abstract
From cosets of binary Hamming codes we construct diameter perfect constant-weight ternary codes with weight (where is the code length) and distances 3 and 5. The class of distance 5 codes has parameters unknown before. Keywords: constant-weight codes, ternary codes, perfect codes, diameter perfect codes, perfect matchings, Preparata codes
Keywords
Cite
@article{arxiv.math/0509620,
title = {On diameter perfect constant-weight ternary codes},
author = {Denis Krotov},
journal= {arXiv preprint arXiv:math/0509620},
year = {2009}
}
Comments
15 pages, 2 figures; presented at 2004 Com2MaC Conference on Association Schemes, Codes and Designs; submitted to Discrete Mathematics