Non phelps codes of length 15 and rank 14

Olof Heden, Thomas Westerbäck

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

Abstract

Phelps enumerated all perfect codes of length 15 and of rank 13 and 14, that can be obtained by the Phelps construction. It is known that all perfect codes of that length and of rank 13 are Phelps codes. It was an open problem to determine whether the same is true in the case of rank 14. We give an answer to that problem, as we construct perfect codes of length 15 and rank 14, that are not equivalent to any Phelps code.

Original languageEnglish
Pages (from-to)141-153
Number of pages13
JournalAustralasian Journal of Combinatorics
Volume38
Publication statusPublished - 2007
MoE publication typeA1 Journal article-refereed

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