Constructions of algebraic lattices via Galoisian extension of prime degree

• Grant number: 15/20595-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2016
• End date: February 28, 2018
• Field of knowledge: Engineering - Electrical Engineering - Telecommunications
• Principal Investigator: Antonio Aparecido de Andrade
• Grantee: Carlos Roberto Lopes Vicente
• 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: 13/25977-7 - Security and reliability of Information: theory and practice, AP.TEM

Abstract

In the search for new communications 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 Galoisianas extensions of p odd prime degree find Z-module structures via these extensions that create algebraic lattices with great center density. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

VICENTE, Carlos Roberto Lopes. Constructions of algebraic lattices via Galoisian extension of prime degree. 2018. Master's Dissertation - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.