Cyclic codes over the rings Z(2)+uZ(2) and Z(2)+uZ(2)+u(2)Z(2)

Abualrub T., Siap I.

DESIGNS CODES AND CRYPTOGRAPHY, vol.42, no.3, pp.273-287, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 3
  • Publication Date: 2007
  • Doi Number: 10.1007/s10623-006-9034-5
  • Journal Name: DESIGNS CODES AND CRYPTOGRAPHY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.273-287
  • Yıldız Technical University Affiliated: No

Abstract

In this paper, we study cyclic codes over the rings Z (2) + uZ (2) and Z (2) + uZ (2) + u(2) Z (2) . We find a set of generators for these codes. The rank, the dual, and the Hamming distance of these codes are studied as well. Examples of cyclic codes of various lengths are also studied.