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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...
We show how Gabidulin codes can be list decoded by using a parametrization approach. For this we consider a certain module in the ring of linearized polynomials and find a minimal basis for this module using the Euclidean algorithm with respect to composition of polynomials. For a given received word, our decoding algorithm computes a list of all codewords that are closest to the received word with...
Kotter-Kschischang (KK) codes are an important family of constant-dimension codes that provide error control in random linear network coding. Two decoding algorithms have been proposed for KK codes: a rank metric decoder and an interpolation based list decoder. Since hardware implementation of the former suffers from limited throughput, long latency and high area complexity, in this paper we propose...
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