Fast Encoding and Decoding of Gabidulin Codes

Details Fast Encoding and Decoding of Gabidulin Codes Fast Encoding and Decoding of Gabidulin Codes

2009-01-16

arxiv.org/abs/0901.2483v2

Computer Science

Information Theory

5 pages, 1 figure, to be published at ISIT 2009

Scientific paper

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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