Lattice Coding for Efficient and Secure Communication Applications

• Grant number: 25/11426-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: October 01, 2025
• End date: July 31, 2029
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Sueli Irene Rodrigues Costa
• Grantee: Renan da Paixão Moura
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Company: Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação (FEEC)
• Associated research grant: 20/09838-0 - BI0S - Brazilian Institute of Data Science, AP.PCPE

Abstract

This PhD project, to be developed at the Institute of Mathematics, Statistics and Scientific Computing (IMECC) at the University of Campinas (Unicamp), aims to study lattice theory with a focus on coding applications for efficient and secure information transmission. Particular attention will be given to parameters that are highly relevant in communication scenarios involving Gaussian noise. The proposal involves the development and analysis of lattice constructions derived from codes, emphasizing applications that require reliability, such as index coding, distributed storage, and federated learning. This proposal is linked to the project BI0S - Brazilian Institute of Data Science (FAPESP and MCTIC/CGI - CPA - 2020/09838-0), of which the advisor is one of the principal researchers. The themes proposed here are part of the "Method" and "Health" tracks of the BI0S project.