On Construction of the$(24, 12, 8)$Golay Codes
X.-H. Peng, Patrick Guy Farrell · IEEE Transactions on Information Theory · 2006
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.