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

Chong‐Dao Lee, Yaotsu Chang, Ho‐Hsuan Chang, Jianhong Chen · IEEE Communications Letters · 2010

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.

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