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

Xiao Hong Peng; Paddy G. Farrell

doi:10.1109/TIT.2006.876247

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

Xiao Hong Peng^*, Paddy G. Farrell

^*Corresponding author for this work

Adaptive Communications Networks Research Group

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	3669-3675
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	52
Issue number	8
DOIs	https://doi.org/10.1109/TIT.2006.876247
Publication status	Published - 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

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10.1109/TIT.2006.876247

On Construction of the (24, 12, 8) Golay Codes
© 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.
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Cite this

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

Abstract

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Keywords

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