• Fuchsian codes with arbitrarily high code rates 

      Blanco Chacón, Iván; Hollanti, Camilla; Alsina Aubach, Montserrat; Remón Adell, Dionís (2016-01-01)
      Article
      Accés obert
      Recently, Fuchsian codes have been proposed in Blanco-Chacon et al. (2014) [2] for communication over channels subject to additive white Gaussian noise (AWGN). The two main advantages of Fuchsian codes are their ability ...
    • Hyperbolic uniformizations throught computations on ternary quadratic forms 

      Alsina Aubach, Montserrat (2013)
      Text en actes de congrés
      Accés obert
      Orders in indefinite quaternion algebras provide Fuchsian groups acting on the Poincare half-plane, used to construct the associated Shimura curves. We explain how, by using embedding theory, the elements of those Fuchsian ...
    • Nonuniform Fuchsian codes for noisy channels 

      Blanco Chacón, Iván; Remón Adell, Dionís; Hollanti, Camilla; Alsina Aubach, Montserrat (2014-11-01)
      Article
      Accés obert
      We develop a new transmission scheme for additive white Gaussian noisy (AWGN) channels based on Fuchsian groups from rational quaternion algebras. The structure of the proposed Fuchsian codes is nonlinear and nonuniform, ...