Families of algebraic lattices and ideal lattices

• Grant number: 07/06381-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: August 01, 2008
• End date: February 28, 2010
• Field of knowledge: Engineering - Electrical Engineering - Telecommunications
• Principal Investigator: Antonio Aparecido de Andrade
• Grantee: Cintya Wink de Oliveira Benedito
• 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

Obtain algebraic lattices and ideal lattices via number field and via the canonical homomorphism and its twisted. The goal is obtain algebraic lattices of dimension 3,5 and 7 with good center density and also of ideal lattices with good minimum product distance via cyclotomic fields. (AU)

Academic Publications

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

BENEDITO, Cintya Wink de Oliveira. Famílias de reticulados algébricos e reticulados ideais. 2010. Master's Dissertation - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.