Finite fields with applications in linear codes

• Grant number: 08/04745-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2008
• End date: December 31, 2010
• Field of knowledge: Engineering - Electrical Engineering - Telecommunications
• Principal Investigator: Antonio Aparecido de Andrade
• Grantee: Wanderson Tenorio
• 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

Abstract

The principal goal of this project of work is the studies of finite fields and appliations in theory of linear codes. Thus, will be study of finite fields, existence, princpal parameters of a linear code, cyclic codes, Hamming codes, Reed-Solomon codes and BCH codes. The codification will be by the Berlekamp-Massey algorithim.