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- W2049833502 abstract "Gabidulin codes are the analogues of Reed–Solomon codes in rank metric and play an important role in various applications. In this contribution, a method for efficient decoding of Gabidulin codes up to their error correcting capability is shown. The new decoding algorithm for Gabidulin codes (defined over $${mathbb{F}_{q^m}}$$ ) directly provides the evaluation polynomial of the transmitted codeword. This approach can be seen as a Gao-like algorithm and uses an equivalent of the Euclidean Algorithm. In order to achieve low complexity, a fast symbolic product and a fast symbolic division are presented. The complexity of the whole decoding algorithm for Gabidulin codes is $${mathcal{O} (m^3 , log , m)}$$ operations over the ground field $${mathbb{F}_q}$$ ." @default.
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- W2049833502 date "2012-04-04" @default.
- W2049833502 modified "2023-10-03" @default.
- W2049833502 title "Fast decoding of Gabidulin codes" @default.
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- W2049833502 doi "https://doi.org/10.1007/s10623-012-9659-5" @default.
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