On Construction of the (24,12,8) Golay Codes
<|reference_start|>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.<|reference_end|>
@article{peng2006on,
    title={On Construction of the (24,12,8) Golay Codes},
    author={Xiao-Hong Peng and Paddy Farrell},
    journal={arXiv preprint arXiv:cs/0607074},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0607074},
    primaryClass={cs.IT math.IT}
}