Extremal self-dual [50, 25, 10] codes with automorphisms of order 3 and quasi-symmetric 2-(49, 9,6) designs

Stefka Bouyuklieva, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

Five non-isomorphic quasi-symmetric 2-(49, 9, 6) designs are known. They arise from extremal self-dual [50, 25, 10] codes with a certain weight enumerator. Four of them have an automorphism of order 3 fixing two points. In this paper, it is shown that there are exactly 48 inequivalent extremal self-dual [50, 25, 10] code with this weight enumerator and an automorphism of order 3 fixing two points. 44 new quasi-symmetric 2-(49, 9, 6) designs with an automorphism of order 3 are constructed from these codes.

Original languageEnglish
Pages (from-to)163-169
Number of pages7
JournalDesigns, Codes, and Cryptography
Volume28
Issue number2
DOIs
Publication statusPublished - 2003 Mar
Externally publishedYes

Keywords

  • automorphisms
  • quasi-symmetric design
  • self-dual code

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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