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cs.IT2021★ 1 cited
Duals of linearized Reed-Solomon codes
Xavier Caruso, Amaury Durand
We give a description of the duals of linearized Reed-Solomon codes in terms of codes obtained by taking residues of Ore rational functions. Our construction shows in particular th…
cs.IT2019★ 2 cited
Reed-Solomon-Gabidulin Codes
Xavier Caruso, Amaury Durand
We introduce Reed-Solomon-Gabidulin codes which is, at the same time, an extension to Reed-Solomon codes on the one hand and Gabidulin codes on the other hand. We prove that our co…