Generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}
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Data
2016-04
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Computational and Applied Mathematics
Resumo
In this paper we present generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}{10λ,2λ} , with the purpose to obtain the corresponding discrete group of isometries. These tessellations have greater density packing than the self-dual tessellations {4λ,4λ}{4λ,4λ} implying that the associated codes achieve the least error probability, or equivalently, that these codes are optimum codes.
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Hyperbolic tessellations, Packing spheres, Discrete group of isometries, Code theory