Abstract
In this research project, we will initially focus on the study of lattices and codes. After this stage, we will propose the construction of chains of binary lattices in R^n based on the embedding of chains of binary linear codes in R¿n.
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Edson Donizete de Carvalho
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Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Faculdade de Engenharia (FEIS) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Licenciatura em Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (1994), master's at Mathematics from Universidade Estadual de Campinas (1997) and doctorate at Electric Engineering from Universidade Estadual de Campinas (2001). Has experience in Mathematics, focusing on Mathematics, acting on the following subjects: códigos corretores de erros, corpo de numeros, constelações de sinais, anel de inteiros and formas quadráticas. (Source: Lattes Curriculum)
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Scholarships in Brazil
- Construction of Perfect Codes and Rotted Lattices From A2-Lattices, BP.IC
Abstract
We focusing on the study of signals constellation from the lattices codes and the rotted lattices. We also proposed different and equivalents tessellation of the flat torus by parallelograms and Lee sphere derived the A2- lattices.
- Space time codes from cyclic algebras, BP.IC
Abstract
These techniques increase the diversity gain and the probability that, at least, one copy of the original information will arrive at the receiver. As a consequence, data rate and channel performance are improved with no extra cost of spectrum. The advantage of the systems based on multiple antennas (or multiple channels) arises because of the ability to exploit the multiple-path propagati…
- Perfect codes from integer rings, BP.IC
Abstract
Firstly, we focusing on the study of Gauss integer ring, Einstein Jacobi integer ring, linear codes and perfect codes. From there, we built perfect codes from Gauss integer ring, Einstein Jacobi integer ring,
(Only some records are available in English at this moment)
Total / Available in English
| 1 / 0 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 12 / 12 | Completed scholarships in Brazil |
| 14 / 13 | All research grants and scholarships |
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