11 citations · 15 across the 3 of their papers we have counts for
4 papers
CM-points and Lattice counting on arithmetic compact Riemann surfaces
Montserrat Alsina, Dimitrios Chatzakos
Let denote the Shimura curve of level arising from an indefinite quaternion algebra of fixed discriminant . We study the discrete av…
Fuchsian codes with arbitrarily high code rate
Iván Blanco-Chacón, Camilla Hollanti, Montserrat Alsina +1
Recently, so-called Fuchsian codes have been proposed in [I. Blanco-Chacón et al., "Nonuniform Fuchsian codes for noisy channels", J. of the Franklin Institute 2014] for communicat…
Nonuniform Fuchsian codes for noisy channels
Iván Blanco-Chacón, Dionís Remón, Camilla Hollanti +1
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 Fuc…
Fuchsian codes for AWGN channels
Iván Blanco-Chacón, Dionís Remón, Camilla Hollanti +1
We develop a new transmission scheme for additive white Gaussian noisy (AWGN) single-input single-output (SISO) channels without fading based on arithmetic Fuchsian groups. The pro…