New extremal doubly-even [64, 32, 12] codes

Masaaki Harada, Hiroshi Kimura

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

In this paper, we consider a general construction of doubly-even self-dual codes. From three symmetric 2-(31, 10, 3) designs, we construct at least 3228 inequivalent extremal doubly-even [64, 32, 12] codes. These codes are distinguished by their K-matrices.

Original languageEnglish
Pages (from-to)91-96
Number of pages6
JournalDesigns, Codes and Cryptography
Volume6
Issue number2
DOIs
Publication statusPublished - 1995 Sep 1
Externally publishedYes

Keywords

  • extremal codes
  • generator matrices and symmetric designs
  • self-dual codes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Applied Mathematics
  • Computational Theory and Mathematics

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