On Construction of the (24,12,8) Golay Codes
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2006
- DOI:
- 10.48550/arXiv.cs/0607074
- arXiv:
- arXiv:cs/0607074
- Bibcode:
- 2006cs........7074P
- Keywords:
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- Computer Science - Information Theory
- E-Print:
- To appear in IEEE Trans. on Information Theory Vol. 24 No. 8