CURVES OVER FINITE FIELDS

• Grant number: 12/02255-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: July 01, 2012
• End date: September 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Fernando Eduardo Torres Orihuela
• Grantee: Saeed Tafazolian
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The aim of this project is to study curves over finite fields with many rational points.First we are going to extend some known results about maximal curves. And in the second part we consider optimal curves.

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

TAFAZOLIAN, SAEED; TORRES, FERNANDO. A note on certain maximal curves. COMMUNICATIONS IN ALGEBRA, v. 45, n. 2, p. 764-773, 2017. (12/02255-3)

TAFAZOLIAN, SAEED; TEHERAN-HERRERA, ARNOLDO; TORRES, FERNANDO. Further examples of maximal curves which cannot be covered by the Hermitian curve. Journal of Pure and Applied Algebra, v. 220, n. 3, p. 1122-1132, MAR 2015. (12/02255-3)

TAFAZOLIAN, SAEED; TORRES, FERNANDO. On the curve y(n) = x(m) + x over finite fields. JOURNAL OF NUMBER THEORY, v. 145, p. 51-66, DEC 2014. (12/02255-3)

TAFAZOLIAN, SAEED; TORRES, FERNANDO. On maximal curves of Fermat type. ADVANCES IN GEOMETRY, v. 13, n. 4, p. 613-617, OCT 2013. (12/02255-3)

KAZEMIFARD, AHMAD; TAFAZOLIAN, SAEED. A note on some Picard curves over finite fields. FINITE FIELDS AND THEIR APPLICATIONS, v. 34, p. 107-122, JUL 2015. (12/02255-3)