Properties of subspace subcodes of Gabidulin codes
EM Gabidulin, P Loidreau - Advances in Mathematics of …, 2008 - aimsciences.org
We investigate properties of subspace subcodes of Gabidulin codes. They are isomorphic to
Gabidulin codes with the same minimum rank distance and smaller parameters. We design
systematic encoding and decoding algorithms for subspace subcodes. We show that the
direct sum of subspace subcodes of Gabidulin codes is isomorphic to the direct product of
Gabidulin codes with smaller parameters. Thanks to this structure there is a great deal of
correctable error-patterns whose rank exceeds the error-correcting capability. Finally we …
Gabidulin codes with the same minimum rank distance and smaller parameters. We design
systematic encoding and decoding algorithms for subspace subcodes. We show that the
direct sum of subspace subcodes of Gabidulin codes is isomorphic to the direct product of
Gabidulin codes with smaller parameters. Thanks to this structure there is a great deal of
correctable error-patterns whose rank exceeds the error-correcting capability. Finally we …
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