Algebraic and geometric fundamentals of geometrically uniform codes
Algebra and Number Theory applied to the construction of lattices
Algebraic construction of lattices via Minkowski's homomorphism
Grant number: | 07/07478-2 |
Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |
Start date: | March 01, 2008 |
End date: | June 30, 2012 |
Field of knowledge: | Engineering - Electrical Engineering - Telecommunications |
Principal Investigator: | Antonio Aparecido de Andrade |
Grantee: | Eduardo Rogério Fávaro |
Host Institution: | Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil |
Associated research grant: | 02/07473-7 - Geometrically uniform codes in homogeneous spaces, AP.TEM |
Abstract The goal of this work is approach lattice constructions via number field, i.e. the construction of algebraic lattice and ideal lattice via number field. Those lattices have been used as an efficient tool for designing coding strategies for the Rayleigh fading channels since it is possible to estimate the product and the diversity, parameters which control the error probability transmission for those channels. (AU) | |
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