A mass formula and rank of ℤ4 cyclic codes of length 2 e

Taher Abualrub, Ali Ghrayeb, Robert H. Oehmke

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

In this correspondence, we study cyclic codes of length n = 2 e over the ring R4 = ℤ4[χ ⌉/(χn - 1). In particular, we derive a closed-form expression for the number of these codes for a given length n. We also study the rank of these codes and derive an expression for that. Furthermore, we give an example in which we study all cyclic codes of length 8. We also study all self-dual codes of length 8 and 16 and classify them according to their type.

Original languageEnglish
Pages (from-to)3306-3312
Number of pages7
JournalIEEE Transactions on Information Theory
Volume50
Issue number12
DOIs
Publication statusPublished - 1 Dec 2004

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Keywords

  • Cyclic codes
  • Dual codes
  • Self-dual codes

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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