A reduction point algorithm for cocompact Fuchsian groups and applications

Autor: Pilar Bayer, Dionís Remón

Publikováno v: Advances in Mathematics of Communications. 8:223-239

In the present article we propose a reduction point algorithm for any Fuchsian group in the absence of parabolic transformations. We extend to this setting classical algorithms for Fuchsian groups with parabolic transformations, such as the flip flop

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b66ec9e6f6ecb3fcd6ec7a7f875bd41e
https://doi.org/10.3934/amc.2014.8.223

Nonuniform Fuchsian codes for noisy channels

Autor: Camilla Hollanti, Montserrat Alsina, Dionís Remón, Iván Blanco-Chacón

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
Universitat Jaume I

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, hence conventional decoding m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee2948d3dbb1e194dd8f24a7e62af2af
http://arxiv.org/abs/1403.2912