(1v)-Constacyclic codes over F 2 uF 2 vF 2 uvF 2

Suat Karadeniz, Bahattin Yildiz

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

In this work, (1v)-constacyclic codes over the ring F2u F2vF2uvF2 are studied. (1v)-constacyclic codes over F2uF2vF2uvF2 of odd lengths are characterized with the help of cyclic codes over F2u F2vF2uvF2. A natural Gray map from ( F2uF2vF2uvF2)n to ( F2uF2)2n is introduced and it is shown that the image under this map of (1v)-constacyclic codes over F2u F2vF2uvF2 are cyclic codes over F2uF2. Also a substantial number of optimal binary linear codes are obtained as the images of (1v)-constacyclic codes over F2uF2vF2uvF2.

Original languageEnglish (US)
Pages (from-to)2625-2632
Number of pages8
JournalJournal of the Franklin Institute
Volume348
Issue number9
DOIs
StatePublished - Nov 2011
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

Fingerprint

Dive into the research topics of '(1v)-Constacyclic codes over F 2 uF 2 vF 2 uvF 2'. Together they form a unique fingerprint.

Cite this