Algebraic and gemetrical fundamentation of lattice codes.

• Grant number: 18/02869-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2018
• End date: May 31, 2019
• Field of knowledge: Engineering - Electrical Engineering - Telecommunications
• Principal Investigator: Edson Donizete de Carvalho
• Grantee: Vinícius Rabetti dos Santos
• Host Institution: Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil

Abstract

Firstly, we focusing on the study of lattices and codes. From Construction A, we built binary lattices (lattices codes) via linear codes over finte fieldF_2. For that, we consider chain of binary sublattices of ZN.