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

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.