Edge-pairing isometries and counting Dirichlet domains on the densest tessellation \(\{12g-6,3\}\) for signal set design

DOI10.1016/j.jfranklin.2012.01.004zbMath1283.05053OpenAlexW2070223267MaRDI QIDQ378630

Mário José de Souza, Mercio Botelho Faria, Marcelo Firer, Reginaldo jun. Palazzo

Publication date: 12 November 2013

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: http://www.locus.ufv.br/handle/123456789/21750

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Modulation and demodulation in information and communication theory (94A14)

Related Items (5)

On geometrically uniform codes and topological quantum MDS codes ⋮ Generalized edge-pairings for the family of hyperbolic tessellations \(\{10\lambda ,2\lambda \}\) ⋮ Fuchsian codes with arbitrarily high code rates ⋮ Nonuniform Fuchsian codes for noisy channels ⋮ Complete hyperbolic lattices derived from tessellations of type {4g,4g}

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