The rank of ℤ4 cyclic codes of length 2e

Taher Abualrub, Ali Ghrayeb, Robert H. Oehmke

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

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

Other

Other2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004
CountryTunisia
CityHammamet
Period21/3/0424/3/04

Keywords

  • Cyclic codes
  • Dual codes
  • Self-dual codes

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Abualrub, T., Ghrayeb, A., & Oehmke, R. H. (2004). The rank of ℤ4 cyclic codes of length 2e . In 2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004 (pp. 651-654)

The rank of ℤ4 cyclic codes of length 2e . / Abualrub, Taher; Ghrayeb, Ali; Oehmke, Robert H.

2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004. 2004. p. 651-654.

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

Abualrub, T, Ghrayeb, A & Oehmke, RH 2004, The rank of ℤ4 cyclic codes of length 2e . in 2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004. pp. 651-654, 2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004, Hammamet, Tunisia, 21/3/04.
Abualrub T, Ghrayeb A, Oehmke RH. The rank of ℤ4 cyclic codes of length 2e . In 2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004. 2004. p. 651-654
Abualrub, Taher ; Ghrayeb, Ali ; Oehmke, Robert H. / The rank of ℤ4 cyclic codes of length 2e . 2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004. 2004. pp. 651-654
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