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Paper detail

Iterative List-Decoding of Gabidulin Codes via Gröbner Based Interpolation

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.

preprint2014arXivOpen access
Margreta KuijperAnna-Lena Trautmann
math.ITInformation Theory
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Margreta KuijperAnna-Lena Trautmann

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