Linear codes over ℤ2s with the extended Lee weight

Bahattin Yildiz, Zeynep Odemis Ozger

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The main goal in our paper is to take a more natural generalization of the Lee weight to the ring ℤ2s, and to study some differences with the homogeneous weight. The weight to be considered will be: wL(x):= {x, ifx≤2s-1 2s-x, ifx>2s-1. A weight preserving Gray map from ℤ2s to (ℤ2) 2s-1 can easily be defined. This map will take linear codes over ℤ2s. We reach a result about the divisibility of the coefficients of the Lee weight enumerators of linear codes over ℤ2s.

Original languageEnglish (US)
Title of host publicationNumerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
Pages621-624
Number of pages4
DOIs
StatePublished - 2011
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 - Halkidiki, Greece
Duration: Sep 19 2011Sep 25 2011

Publication series

NameAIP Conference Proceedings
Volume1389
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
Country/TerritoryGreece
CityHalkidiki
Period9/19/119/25/11

Keywords

  • Enumerator
  • Extended Lee weight
  • Lee weight
  • Linear codes

ASJC Scopus subject areas

  • General Physics and Astronomy

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