Fast algorithms for decoding the (23, 12) binary Golay code with four-error-correcting capability |
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Authors: | E H LU H P WUU Y C CHENG P C LU |
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Affiliation: | Department of Electrical Engineering , Chung Cheng Institute of Technology , Ta-His, Tao-Yuan, Taiwan, 33509, Republic of China |
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Abstract: | Two new algorithms for decoding the (23, 12) binary Golay code are developed with channel measurement information. For a white gaussian noise channel, each of the two algorithms achieves about 0·8?dB of decoding performance over a conventional hard-decision decoding. Furthermore, one of the algorithms requires a very small amount of computation for decoding a received block, and the other is very suitable for hardware implementation owing to its simple and regular operation. The hardware decoder, based on the latter algorithm, is designed with a pipeline such that it decodes one bit of a received block in a single system clock cycle |
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