On the existence of extremal type II codes over ℤ6

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2 Citations (Scopus)

Abstract

Recently, there has been tremendous interest in self-dual codes over finite rings, specifically the rings ℤ2k. In this note, the first examples of extremal Type II codes over ℤ6 of length 32 are constructed. These give examples of extremal even unimodular lattices in dimension 32 by Construction A. A relationship between extremal Type II codes over ℤ6 and binary extremal Type II codes is also investigated.

Original languageEnglish
Pages (from-to)373-378
Number of pages6
JournalDiscrete Mathematics
Volume223
Issue number1-3
DOIs
Publication statusPublished - 2000 Aug 28
Externally publishedYes

Keywords

  • Binary Type II codes
  • Extremal Type II codes over rings

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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