Support weight enumerators and coset weight distributions of isodual codes

Research output: Contribution to journalArticle

Abstract

In this paper various methods for computing the support weight enumerators of binary linear even isodual codes are described. It is shown that there exist relationships between support weight enumerators and coset weight distributions of a code that can be used to compute partial information about one set of these code invariants from the other. The support weight enumerators and complete coset weight distributions of several even isodual codes of length up to 22 are computed as well. It is observed that there exist inequivalent codes with the same support weight enumerators inequivalent codes with the same complete coset weight distribution and inequivalent codes with the same support eight enumerators and complete coset weight distribution.

Original languageEnglish (US)
Pages (from-to)81-109
Number of pages29
JournalDesigns, Codes, and Cryptography
Volume35
Issue number1
DOIs
StatePublished - Apr 1 2005
Externally publishedYes

Keywords

  • Coset weight distribution
  • Formally self-dual codes
  • Support weight enumerators

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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