Some restrictions on weight enumerators of singly even self-dual codes

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Abstract

In this correspondence, we give some restrictions on weight enumerators of singly even self-dual [n, n/2, d] codes whose shadows have, minimum weight d/2. As a consequence, we determine the weight enumerators for which there Is an extremal singly even self-dual [40, 20, 8] code and an optimal singly even self-dual [50, 26, 10] code.

Original languageEnglish
Pages (from-to)1266-1269
Number of pages4
JournalIEEE Transactions on Information Theory
Volume52
Issue number3
DOIs
Publication statusPublished - 2006 Mar 1

Keywords

  • Extremal code
  • Minimum weight
  • Self-dual code
  • Shadow
  • Weight enumerator

ASJC Scopus subject areas

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

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