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Unusual general error locator polynomial for the (23, 12, 7) golay code

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4 Author(s)
Chong-Dao Lee ; Depts. of Commun. Eng., I-Shou Univ., Kaohsiung, Taiwan ; Yaotsu Chang ; Ho-Hsuan Chang ; Jian-Hong Chen

For algebraic decoding of the (23, 12, 7) Golay code, this letter proposes a new error locator polynomial, called the unusual general error locator polynomial, whose coefficients are expressed as a sum of powers of their previous ones. Because of this special property, the determination of such a polynomial can be terminated earlier, and the number of errors occurred can be recognized at the same time.

Published in:

Communications Letters, IEEE  (Volume:14 ,  Issue: 4 )