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Introduction to cyclic codes over commutative rings and algebraic integer numbers with applications

Grant number: 18/08263-4
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): May 01, 2018
Effective date (End): April 30, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Reginaldo Palazzo Junior
Grantee:Pedro Mendes Odilon
Home Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:13/25977-7 - Security and reliability of Information: theory and practice, AP.TEM

Abstract

The objective of this research proposal is to introduce the student to the research topics involved in the approved FAPESP Thematic Research Proposal under Grant 2013/25977-7 "Segurança e Confiabilidade da Informação: Teoria e Aplicações", in which the supervisor is one of the principal investigators. The current proposal consists of introducing the fundamental concepts of Error-Correcting Codes over Commutative Rings and Rings of Algebraic Integers and Number Theory by considering applications such as reliable and secure transmission of digital information.