Curves with many rational points over finite fields and their applications in coding theory

• Grant number: 17/19190-5
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2017
• End date: November 30, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Saeed Tafazolian
• 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 rationalpoints, i.e., to construct maximal curves using fiber products of curves, toconstruct supersingular curves using class field theory and to investigated theminimum distances of certain algebraic geometry codes. (AU)

Scientific publications

(4)

(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; TOP, JAAP. On certain maximal hyperelliptic curves related to Chebyshev polynomials. JOURNAL OF NUMBER THEORY, v. 203, p. 276-293, OCT 2019. (17/19190-5)

TAFAZOLIAN, SAEED; TORRES, FERNANDO. The curve Y-n = X-l (X-m+1) over finite fields II. ADVANCES IN GEOMETRY, v. 21, n. 3, p. 385-390, JUL 2021. (17/19190-5)

TAFAZOLIAN, SAEED; TORRES, FERNANDO. On the Ree curve. Journal of Pure and Applied Algebra, v. 223, n. 9, p. 3831-3842, SEP 2019. (17/19190-5)

KAZEMIFARD, AHMAD; TAFAZOLIAN, SAEED; TORRES, FERNANDO. On maximal curves related to Chebyshev polynomials. FINITE FIELDS AND THEIR APPLICATIONS, v. 52, p. 200-213, JUL 2018. (17/19190-5)