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

Xiao-Hong Peng·Paddy Farrell
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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.

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Xiao-Hong Peng, Paddy Farrell. 2006-07-14. On Construction of the (24,12,8) Golay Codes. https://arxiv.org/abs/cs/0607074

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