Non-existence of a ternary constant weight (16, 5, 15; 2048) diameter perfect code

Denis S. Krotov, Patric R J Östergård, Olli Pottonen

Research output: Contribution to journalArticleScientificpeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)393-399
Number of pages7
JournalAdvances in Mathematics of Communications
Volume10
Issue number2
DOIs
Publication statusPublished - 1 May 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • Constant weight code
  • Diameter perfect code

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