DocumentCode
877668
Title
Simple algorithms for BCH decoding
Author
Hong, Jonathan ; Vetterli, Martin
Author_Institution
Dept. of Electr. Eng., Columbia Univ., New York, NY, USA
Volume
43
Issue
8
fYear
1995
fDate
8/1/1995 12:00:00 AM
Firstpage
2324
Lastpage
2333
Abstract
Proposes some simple algorithms for decoding BCH codes. The authors show that the pruned FFT is an effective method for evaluating syndromes and for finding the roots of error-locator polynomials. They show that a simple variation of the basic Gaussian elimination procedure can be adapted to compute the error-locator polynomial efficiently for codes with small designed distance. Finally, they give a procedure for computing the error values that has half the complexity of the Forney algorithm
Keywords
BCH codes; cyclic codes; decoding; error analysis; fast Fourier transforms; polynomials; BCH decoding; Forney algorithm; Gaussian elimination procedure; algorithms; error values; error-locator polynomials; pruned FFT; syndromes; Application software; Codes; Communications Society; Computer errors; Decoding; Equations; Nonlinear filters; Polynomials; Power generation; Senior members;
fLanguage
English
Journal_Title
Communications, IEEE Transactions on
Publisher
ieee
ISSN
0090-6778
Type
jour
DOI
10.1109/26.403765
Filename
403765
Link To Document