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

Authors:
Chong-Dao Lee;Yaotsu Chang;Ho-Hsuan Chang;Jian-Hong Chen
Affiliations:
Departments of Communication Engineering, Applied Mathematics, Communication Engineering, and Information Engineering, I-Shou University, Dashu Township, Kaohsiung Country, Taiwan, R.O.C.;Departments of Communication Engineering, Applied Mathematics, Communication Engineering, and Information Engineering, I-Shou University, Dashu Township, Kaohsiung Country, Taiwan, R.O.C.;Departments of Communication Engineering, Applied Mathematics, Communication Engineering, and Information Engineering, I-Shou University, Dashu Township, Kaohsiung Country, Taiwan, R.O.C.;Departments of Communication Engineering, Applied Mathematics, Communication Engineering, and Information Engineering, I-Shou University, Dashu Township, Kaohsiung Country, Taiwan, R.O.C.
Venue:
IEEE Communications Letters
Year:
2010

Citing 5
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Abstract

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.