The rank of ℤ4 cyclic codes of length 2e

Taher Abualrub*, Ali Ghrayeb, Robert H. Oehmke

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

In this paper, we study cyclic codes of length n = 2e over the ring R4 = ℤ4[x]/(xn - 1). In particular, we study the rank of these codes and derive a closed-form expression for that. Finally, we give an example in which we study all codes of length 8 and classify them according to their type.

Original languageEnglish
Title of host publication2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004
Pages651-654
Number of pages4
Publication statusPublished - 2004
Externally publishedYes
Event2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004 - Hammamet, Tunisia
Duration: 21 Mar 200424 Mar 2004

Publication series

NameInternational Symposium on Control, Communications and Signal Processing, ISCCSP

Conference

Conference2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004
Country/TerritoryTunisia
CityHammamet
Period21/03/0424/03/04

Keywords

  • Cyclic codes
  • Dual codes
  • Self-dual codes

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