Collaborative decoding of interleaved Reed-Solomon codes and concatenated code designs
IEEE Transactions on Information Theory
On extended Fomey-Kovalev GMD decoding
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
Decoding of interleaved Reed Solomon codes over noisy data
ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
Fast generalized minimum-distance decoding of algebraic-geometry and Reed-Solomon codes
IEEE Transactions on Information Theory
Improved decoding of Reed-Solomon and algebraic-geometry codes
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Asymptotic single-trial strategies for GMD decoding with arbitrary error-erasure tradeoff
Problems of Information Transmission
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For decoding concatenated codes up to half their designed distance, generalized minimum distance (GMD) decoding can be used. GMD decoding applies multitrial error/erasure decoding of the outer code, where erased symbols depend on some reliability measure stemming from the inner decoders. We consider the case where the outer decoder is able to decode beyond half the minimum distance of the outer code. For a given number of outer decoding trials, we derive achievable decoding radii for GMD decoding. Vice versa, we give a lower bound on the number of required outer decoding trials to obtain the greatest possible decoding radius.