Extremal Type II Z4-codes of lengths 56 and 64

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6 Citations (Scopus)

Abstract

Type II Z4-codes are a remarkable class of self-dual Z4-codes. A Type II Z4-code of length n exists if and only if n is divisible by eight. For lengths up to 48, extremal Type II Z4-codes are known. In this note, extremal Type II Z4-codes of lengths 56 and 64 are constructed for the first time.

Original languageEnglish
Pages (from-to)1285-1288
Number of pages4
JournalJournal of Combinatorial Theory. Series A
Volume117
Issue number8
DOIs
Publication statusPublished - 2010 Nov
Externally publishedYes

Keywords

  • Extremal code
  • Self-dual code
  • Type II code

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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