DocumentCode
1496374
Title
On cauchy matrices for remainder decoding of reed-solomon codes
Author
Ma, Chingwo
Volume
13
Issue
9
fYear
2009
Firstpage
688
Lastpage
690
Abstract
It is shown that generalized Cauchy matrices in generator matrices of Reed-Solomon codes can be interpreted by a Lagrange interpolation. The algebraic property of such Cauchy generators is presented. As a main result, a new key equation for the remainder decoding of Reed-Solomon codes is derived. This extends a previous work in Welch´s note.
Keywords
Reed-Solomon codes; decoding; interpolation; matrix algebra; Cauchy matrices; Lagrange interpolation; Reed-Solomon codes; algebraic property; generator matrices; remainder decoding; Decoding; Differential algebraic equations; Interpolation; Lagrangian functions; Parity check codes; Polynomials; Reed-Solomon codes; Cauchy matrices, Welch-Berlekamp key equation, Reed-Solomon codes;
fLanguage
English
Journal_Title
Communications Letters, IEEE
Publisher
ieee
ISSN
1089-7798
Type
jour
DOI
10.1109/LCOMM.2009.091129
Filename
5282376
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