On construction of the (24, 12, 8) golay codes

Xiao Hong Peng*, Paddy G. Farrell

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Two product array codes are used to construct the (24, 12, 8) binary Golay code through the direct sum operation. This construction provides a systematic way to find proper (8, 4, 4)linear block component codes for generating the Golay code, and it generates and extends previously existing methods that use a similar construction framework. The code constructed is simple to decode.

Original languageEnglish
Pages (from-to)3669-3675
Number of pages7
JournalIEEE Transactions on Information Theory
Volume52
Issue number8
DOIs
Publication statusPublished - 1 Aug 2006

Bibliographical note

© 2006 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Keywords

  • Array codes
  • Block codes
  • Code construction
  • Direct sum
  • Golay codes

Fingerprint Dive into the research topics of 'On construction of the (24, 12, 8) golay codes'. Together they form a unique fingerprint.

  • Cite this