Generalized edge-pairings for the family of hyperbolic tessellations $$\{10\lambda ,2\lambda \}$$ { 10 λ , 2 λ }
| Autor: | Vandenberg Lopes Vieira, Reginaldo Palazzo, Mercio Botelho Faria |
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| Rok vydání: | 2014 |
| Předmět: |
Discrete group
Applied Mathematics 010102 general mathematics 020206 networking & telecommunications 02 engineering and technology Coding theory Edge (geometry) Lambda 01 natural sciences Combinatorics Computational Mathematics Probability of error 0202 electrical engineering electronic engineering information engineering 0101 mathematics Mathematics |
| Zdroj: | Computational and Applied Mathematics. 35:29-43 |
| ISSN: | 1807-0302 0101-8205 |
| DOI: | 10.1007/s40314-014-0178-z |
| Popis: | In this paper we present generalized edge-pairings for the family of hyperbolic tessellations $$\{10\lambda ,2\lambda \}$$ , with the purpose to obtain the corresponding discrete group of isometries. These tessellations have greater density packing than the self-dual tessellations $$\{4\lambda ,4\lambda \}$$ implying that the associated codes achieve the least error probability, or equivalently, that these codes are optimum codes. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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