On diameter perfect constant-weight ternary codes

Details On diameter perfect constant-weight ternary codes On diameter perfect constant-weight ternary codes

2005-09-27

arxiv.org/abs/math/0509620v2

Discrete Math. 308(14) 2008, 3104-3114

Mathematics

Combinatorics

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

Scientific paper

10.1016/j.disc.2007.08.037

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

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