EN FR
Homepage Inria website


Section: New Results

Rank metric codes over the rationals

Rank metric and Gabidulin codes over the rationals promise interesting applications to space-time coding. We have constructed optimal codes similar to Gabidulin codes but with complex coefficients, using number fields and Galois automorphisms. Using these codes we can completely bypass intermediate constructions using finite fields, which were the stumbling-block in classic constructions.