Constructions of algebraic lattices via Galoisian extension of prime degree
Construction of lattices and applications in Information Theory
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Constructions of algebraic lattices via Galoisian extension of prime degree
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| Author(s): |
Carlos Roberto Lopes Vicente
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São José do Rio Preto. 2018-03-07. |
| Institution: | Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto |
| Defense date: | 2018-02-23 |
| Advisor: | Antonio Aparecido de Andrade |
| Abstract | |
In the search for new communication systems many works have been performed in order to get constellation geometrically uniform signs and codes in Euclidean space. In this context, our proposal is to identify an algebraic and geometric structure for algebraic lattices from the canonical homomorphism possessing great center density. In this sense, this project focuses on the galoisian extensions of p odd prime degree and find Z-module structures via these extensions that create algebraic lattices with great center density. (AU) | |
| FAPESP's process: | 15/20595-4 - Constructions of algebraic lattices via Galoisian extension of prime degree |
| Grantee: | Carlos Roberto Lopes Vicente |
| Support Opportunities: | Scholarships in Brazil - Master |