Extremal binary self-dual codes

Steven T. Dougherty, T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

85 Citations (Scopus)

Abstract

In this correspondence, we investigate binary extremal self-dual codes. Numerous extremal self-dual codes and interesting self-dual codes with minimum weight d = 14 and 16 are constructed. In particular, the first extremal "Type I [86, 43, 16] code and new extremal self-dual codes with weight enumerators which were not previously known to exist for lengths 40, 50, 52, and 54 are constructed. We also determine the possible weight enumerators for extremal Type I codes of lengths 66-100.

Original languageEnglish
Pages (from-to)2036-2047
Number of pages12
JournalIEEE Transactions on Information Theory
Volume43
Issue number6
DOIs
Publication statusPublished - 1997
Externally publishedYes

Keywords

  • Extremal self-dual codes
  • Weight enumerators and shadow codes

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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