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arXiv · 1405.7152

Iterative List-Decoding of Gabidulin Codes via Gr\"obner Based Interpolation

Margreta Kuijper·Anna-Lena Trautmann
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Abstract

We show how Gabidulin codes can be list decoded by using an iterative parametrization approach. For a given received word, our decoding algorithm processes its entries one by one, constructing four polynomials at each step. This then yields a parametrization of interpolating solutions for the data so far. From the final result a list of all codewords that are closest to the received word with respect to the rank metric is obtained.

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Margreta Kuijper, Anna-Lena Trautmann. 2014-05-28. Iterative List-Decoding of Gabidulin Codes via Gr\"obner Based Interpolation. https://arxiv.org/abs/1405.7152

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