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On the Construction of the (24, 12, 8) Golay Code

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>1/08/2006
<mark>Journal</mark>IEEE Transactions on Information Theory
Issue number8
Volume52
Number of pages7
Pages (from-to)3669-3675
Publication StatusPublished
<mark>Original language</mark>English

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 .

Bibliographic note

This paper shows how to construct the optimum Golay code using the generalised array code (GAC) concept. Its importance lies in the systematic combination of the direct sum and GAC construction techniques, and is the culmination of a series of investigations by the authors and others into effective constructions of this type. The practical value of the construction is that it enables fast near-maximum likelihood decoding of the Golay code using regular parallel sub-trellises or Tanner graphs implemented on integrated circuits with reduced chip areas and intra-chip interconnections. RAE_import_type : Journal article RAE_uoa_type : Electrical and Electronic Engineering