Title :
On Construction of the

Golay Codes
Author :
Peng, Xiao-Hong ; Farrell, Paddy G.
Author_Institution :
Electron. Eng. Subject Group, Aston Univ., Birmingham
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
Keywords :
Golay codes; binary codes; block codes; decoding; linear codes; product codes; Golay code construction; binary code; decoding; direct sum operation; linear block component code; product array code; Block codes; Concrete; Cyclic redundancy check; Decoding; Error probability; Feedback communications; Information theory; Mathematics; Universal Serial Bus; Array codes; Golay codes; block codes; code construction; direct sum;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.876247