An extremal ternary self-dual [28, 14, 9] code with a trivial automorphism group

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2 Citations (Scopus)

Abstract

In this paper, we show that the smallest length for which there is an extremal ternary self-dual code with a trivial automorphism group is 28 by constructing such a code of length 28. This code is the first example of extremal ternary self-dual codes with trivial automorphism groups. An extremal ternary self-dual [32, 16, 9] code with a trivial automorphism group is also constructed. A 32-dimensional odd unimodular lattice with minimum norm 3 and a trivial automorphism group is obtained from the code by Construction A.

Original languageEnglish
Pages (from-to)121-125
Number of pages5
JournalDiscrete Mathematics
Volume239
Issue number1-3
DOIs
Publication statusPublished - 2001 Aug 28
Externally publishedYes

Keywords

  • Extremal self-dual codes
  • Ternary self-dual codes
  • Trivial automorphism groups

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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