Signal constellations in the hyperbolic plane: a proposal for new communication systems
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Publication:1033108
DOI10.1016/j.jfranklin.2005.09.001zbMath1173.94305OpenAlexW1968201624MaRDI QIDQ1033108
Marcelo Firer, Sueli R. Costa, Eduardo Brandani da Silva, Reginaldo jun. Palazzo
Publication date: 6 November 2009
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2005.09.001
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Edge-pairing isometries and counting Dirichlet domains on the densest tessellation \(\{12g-6,3\}\) for signal set design ⋮ Fuchsian codes with arbitrarily high code rates ⋮ An algorithm to construct arithmetic Fuchsian groups derived from quaternion algebras and the corresponding hyperbolic lattices. ⋮ A reduction point algorithm for cocompact Fuchsian groups and applications ⋮ A new method of coding geodesics on surfaces whose fundamental regions consist of the union of elementary triangles derived from the Farey series ⋮ Nonuniform Fuchsian codes for noisy channels ⋮ On the behavior of growth of polygons in semi-regular hyperbolic tessellations ⋮ Complete hyperbolic lattices derived from tessellations of type {4g,4g} ⋮ Unnamed Item ⋮ Euclidean and hyperbolic asymmetric topological quantum codes
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