Edge-pairing isometries and counting Dirichlet domains on the densest tessellation for signal set design

Author:

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

Publisher

Elsevier BV

Subject

Applied Mathematics,Computer Networks and Communications,Signal Processing,Control and Systems Engineering

Reference11 articles.

1. L. Luzzi, G. Rekaya-Ben Othman, J.C. Belfiore, Algebraic reduction for space-time codes based on quaternion algebras, Pre-print ArXiv:0809.3365v2 [cs.IT], September, 2008.

2. Performance analysis of M-PSK signal constellations in Riemannian varieties;Cavalcante,2003

3. Signal constellations in the hyperbolic plane: a proposal for new communication systems;Silva;Journal of the Franklin Institute,2006

4. Geometrically uniform hyperbolic codes;Lazari;Computational and Applied Mathematics,2005

5. On the construction and labelling of geometrically uniform signal sets in R2 matched to additive quotient groups;Carvalho;Journal of Applied Mathematics and Computing,2008

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1. On geometrically uniform codes and topological quantum MDS codes;Journal of Mathematical Physics;2022-09-01

2. Fuchsian codes with arbitrarily high code rates;Journal of Pure and Applied Algebra;2016-01

3. Nonuniform Fuchsian codes for noisy channels;Journal of the Franklin Institute;2014-11

4. Generalized edge-pairings for the family of hyperbolic tessellations $$\{10\lambda ,2\lambda \}$$ { 10 λ , 2 λ };Computational and Applied Mathematics;2014-08-21

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