On diameter perfect constant-weight ternary codes

Denis Krotov

doi:10.1016/j.disc.2007.08.037

On diameter perfect constant-weight ternary codes

组合数学 2009-08-03 v2 信息论 math.IT

作者: Denis Krotov

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

From cosets of binary Hamming codes we construct diameter perfect constant-weight ternary codes with weight $n-1$ (where $n$ 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

关键词

coding theory combinatorial designs

引用

@article{arxiv.math/0509620,
  title  = {On diameter perfect constant-weight ternary codes},
  author = {Denis Krotov},
  journal= {arXiv preprint arXiv:math/0509620},
  year   = {2009}
}

备注

15 pages, 2 figures; presented at 2004 Com2MaC Conference on Association Schemes, Codes and Designs; submitted to Discrete Mathematics

相关论文

查看更多相关论文 →