Study of idempotents in cyclic group rings over F2

Kai Lin Ong, Miin Huey Ang*

*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

The existence of an idempotent generator for group codes or group ring codes in FqG plays a very important role in determining the minimal distance of the respective code. Some necessary and sufficient conditions for a group ring element to be an idempotent in F2Cn are investigated in this paper. The main result in this paper is the affirmation of the existence of finitely many basis idempotents which gives a full identification of all idempotents in every binary cyclic group ring F2Cn. All the basis idempotents in F2Cn are able to be found by partitioning the largest idempotent's support.

Original languageEnglish
Title of host publicationInnovations Through Mathematical and Statistical Research
Subtitle of host publicationProceedings of the 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016)
PublisherAIP Publishing
ISBN (Electronic)9780735413962
DOIs
Publication statusPublished - 2 Jun 2016
Event2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research - Kuala Lumpur, Malaysia
Duration: 26 Jan 201628 Jan 2016

Publication series

NameAIP Conference Proceedings
Volume1739
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on Mathematical Sciences and Statistics
Abbreviated titleICMSS 2016
Country/TerritoryMalaysia
CityKuala Lumpur
Period26/01/1628/01/16

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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