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Introduction to finite fields and to algebraic error-correcting codes

Grant number: 21/13390-8
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): March 01, 2022
Effective date (End): December 31, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Robson Ricardo de Araujo
Grantee:Natan Santana de Vasconcelos
Host Institution: Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP). Campus Cubatão. Cubatão , SP, Brazil

Abstract

This work consists of a study, at the scientific initiation level, on basic aspects of finite field theory and its applications to algebraic error-correcting codes, with emphasis on linear codes. In particular, this project proposes a study on cyclic codes, BCH codes, Reed-Solomon codes, and LDPC codes. (AU)

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