Sven Puchinger – Gabidulin Codes over Fields of Characteristic Zero and Their Applications.

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Gabidulin codes, originally defined over finite fields, are an important class of rank metric codes with various applications. Recently, their definition was generalized to certain fields of characteristic zero. This generalization led to new applications, such as novel constructions of space-time codes and methods for low-rank matrix recovery. The talk provides an overview of the definition, decoding and applications of Gabidulin codes over fields of characteristic zero.