An algebraic and geometric approach of linear cyclic, BCH codes

• Grant number: 18/18433-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2018
• End date: October 31, 2019
• Field of knowledge: Engineering - Electrical Engineering - Telecommunications
• Principal Investigator: Edson Donizete de Carvalho
• Grantee: Fabiana Aucco Egídio
• 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 fundamentals of source coding, channel coding and also algebraic theory: groups, rings, polynomial rings, finite fields. From there, our goal is devoted to the presentation of main fundamentals of the linear, cyclic and BCH codes.