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Decoding the (47,24,11) quadratic residue code

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4 Author(s)
Ruhua He ; Hughes Network Syst., San Diego, CA, USA ; I. S. Reed ; Trieu-Kien Truong ; Xuemin Chen

The techniques needed to decode the (47,24,11) quadratic residue (QR) code differ from the schemes developed for cyclic codes. By finding certain nonlinear relations between the known and unknown syndromes for this special code, two methods are developed to decode up to the true minimum distance of the (47,24,11) QR code. These algorithms can be utilized to decode effectively the ½-rate (48,24,12) QR code for correcting five errors and detecting six errors

Published in:

IEEE Transactions on Information Theory  (Volume:47 ,  Issue: 3 )