Translates of linear codes over Z4

Alexis Bonnecaze, Iwan M. Duursma

Research output: Contribution to journalArticlepeer-review

Abstract

We give a method to compute the complete weight distribution of translates of linear codes over Z4. The method follows known ideas that have already been used successfully by others for Hamming weight distributions. For the particular case of quaternary Preparata codes, we obtain that the number of distinct complete weights for the dual Preparata codes and the number of distinct complete coset weight enumerators for the Preparata codes are both equal to ten, independent of the codelength.

Original languageEnglish (US)
Pages (from-to)1218-1230
Number of pages13
JournalIEEE Transactions on Information Theory
Volume43
Issue number4
DOIs
StatePublished - 1997
Externally publishedYes

Keywords

  • Complete weight enumerator
  • Coset weight enumerator
  • Kerdock code
  • Preparata code
  • Quaternary code

ASJC Scopus subject areas

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

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