On diameter perfect constant-weight ternary codes
arXiv:math/0509620 · doi:10.1016/j.disc.2007.08.037
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
15 pages, 2 figures; presented at 2004 Com2MaC Conference on Association Schemes, Codes and Designs; submitted to Discrete Mathematics