Coding theory, cryptography and other applications of algebraic geometry over fini...
Duality and automorphisms on algebraic curves over finite fields
Finite geometry, Algebraic curves and Applications to Coding Theory
| Grant number: | 11/19446-3 |
| Support Opportunities: | Regular Research Grants |
| Duration: | January 01, 2012 - March 31, 2014 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Herivelto Martins Borges Filho |
| Grantee: | Herivelto Martins Borges Filho |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
This project aims to obtain and characterizenew algebraic curves over finite fields and with many rational points. It also includes the study of a very special class of polynomials that, despite of being interesting on its own,turned out to be the key ingredient in the study of Frobenius non-classical curves. The arc property of curves attaining the Hasse-Weil boundis also considered in our study. Application in Coding Theory is one of the motivations of this work. (AU)
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