DocumentCode
1495135
Title
On Systematic Generator Matrices for Reed–Solomon Codes
Author
Versfeld, Daniel J J ; Ridley, James N. ; Ferreira, Hendrik C. ; Helberg, Albert S J
Author_Institution
Sch. of Electr. & Inf. Eng., Univ. of the Witwatersrand, Johannesburg, South Africa
Volume
56
Issue
6
fYear
2010
fDate
6/1/2010 12:00:00 AM
Firstpage
2549
Lastpage
2550
Abstract
We derive a simple formula to generate a wide-sense systematic generator matrix B for a Reed-Solomon code. Specifically, we generate the generator matrix B such that the columns with indices ¿1, ¿2,..., ¿k are the columns of the identity matrix Ik. One possible application of these wide-sense matrices is erasures-only decoding.
Keywords
Reed-Solomon codes; decoding; error correction codes; matrix algebra; Reed-Solomon code; erasures-only decoding; systematic generator matrix; Africa; Code standards; Conferences; Decoding; Error correction codes; Honorary membership; Interpolation; Mathematics; Polynomials; Telecommunication computing; Encoding; Reed–Solomon codes; erasures-only decoding; error correction coding; generator matrix;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2010.2046104
Filename
5466517
Link To Document