Algebraic decoding of [71, 36, 11], [79, 40, 15], and [97, 49, 15] quadratic residue codes

Yaotsu Chang, Trieu‐Kien Truong, I.S. Reed, Hsin-Yen Cheng, Chong‐Dao Lee · IEEE Transactions on Communications · 2003

Recently, a new algebraic decoding algorithm for quadratic residue (QR) codes was proposed by Truong et al. Using that decoding scheme, we now develop three decoders for the QR codes with parameters (71, 36, 11), (79, 40, 15), and (97, 49, 15), which have not been decoded before. To confirm our results, an exhaustive computer simulation has been executed successfully.

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