Title :
Unusual general error locator polynomial for the (23, 12, 7) golay code
Author :
Lee, Chong-Dao ; Chang, Yaotsu ; Chang, Ho-Hsuan ; Chen, Jian-Hong
Author_Institution :
Depts. of Commun. Eng., I-Shou Univ., Kaohsiung, Taiwan
fDate :
4/1/2010 12:00:00 AM
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.
Keywords :
Golay codes; algebraic codes; decoding; polynomials; Golay code; algebraic decoding; general error locator polynomial; Algorithm design and analysis; Councils; Helium; Interpolation; Iterative algorithms; Iterative decoding; Lagrangian functions; Mathematics; Polynomials; Reed-Solomon codes; Golay code, general error locator polynomial;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2010.04.091969
