Ternary constant weight codes of length n = 2m, weight n – 1, cardinality 2n and distance 5 are known to exist for every m for which there exists an APN permutation of order 2m, that is, at least for all odd m ≥ 3 and for m = 6. We show the non-existence of such codes for m = 4 and prove that any codes with the parameters above are diameter perfect.
|Number of pages||7|
|Journal||Advances in Mathematics of Communications|
|Publication status||Published - 1 May 2016|
|MoE publication type||A1 Journal article-refereed|
- Constant weight code
- Diameter perfect code