Generalized edge-pairings for the family of hyperbolic tessellations \(\{10\lambda ,2\lambda \}\)

DOI10.1007/S40314-014-0178-ZzbMath1337.05017OpenAlexW1990420080MaRDI QIDQ291362

Mercio Botelho Faria, Reginaldo jun. Palazzo, Vandenberg Lopes Vieira

Publication date: 7 June 2016

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-014-0178-z

zbMATH Keywords

code theorydiscrete group of isometrieshyperbolic tessellationspacking spheres

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Combinatorial aspects of tessellation and tiling problems (05B45) Error probability in coding theory (94B70) Combinatorial aspects of packing and covering (05B40) Arithmetic codes (94B40)

Related Items (2)

On geometrically uniform codes and topological quantum MDS codes ⋮ New classes of quantum codes on closed orientable surfaces

Cites Work

• Edge-pairing isometries and counting Dirichlet domains on the densest tessellation \(\{12g-6,3\}\) for signal set design
• Extremal disks and modular surfaces
• Geometrically uniform codes
• On fundamental domains of arithmetic Fuchsian groups
• Topological quantum memory
• Emparelhamentos Generalizados Associados à Tesselação {12g−6,3}
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