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

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.

Publication DOI: https://doi.org/10.1109/TIT.2006.876247
Divisions: College of Engineering & Physical Sciences > Adaptive communications networks research group
College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Electrical and Electronic Engineering
Additional Information: © 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.
Uncontrolled Keywords: Array codes,Block codes,Code construction,Direct sum,Golay codes,Electrical and Electronic Engineering,Information Systems
Publication ISSN: 0018-9448
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://ieeexpl ... ocument/1661843 (Publisher URL)
PURE Output Type: Article
Published Date: 2006-08-01
Authors: Peng, Xiao Hong (ORCID Profile 0000-0002-0608-233X)
Farrell, Paddy G.

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