Curves over finite fields

• Grant number: 09/10303-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2009
• End date: May 31, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Fernando Eduardo Torres Orihuela
• Grantee: Herivelto Martins Borges Filho
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

Part of this project focus on obtaining and characterizing new curves over finite fields and with many rational points. The study of the arc property of curves attaining the Hasse-Weil bound and certain Frobenius non-classical curves is another point of our investigation. The application in Coding Theory is one of the motivations of this work.