Fast Encoding and Decoding of Gabidulin Codes
Danilo Silva, Frank R. Kschischang · 2012
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 lowcomplexity 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. I.