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Fast encoding and decoding of Gabidulin codes

by: D. Silva, F. R. Kschischang
In IEEE International Symposium on Information Theory 2009 (ISIT 2009) (June 2009), pp. 2858-2862, doi:10.1109/isit.2009.5205272  Key: citeulike:11865940

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Abstract

Gabidulin codes are the rank-metric analogs of Reed-Solomon codes and have a major role in practical error control for network coding. This paper presents new encoding and decoding algorithms for Gabidulin codes based on low-complexity normal bases. In addition, a new decoding algorithm is proposed based on a transform-domain approach. Together, these represent the fastest known algorithms for encoding and decoding Gabidulin codes.


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