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

Grant number: 17/19190-5
Support Opportunities:Regular Research Grants
Duration: December 01, 2017 - 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


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)

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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)
KAZEMIFARD, AHMAD; TAFAZOLIAN, SAEED; TORRES, FERNANDO. On maximal curves related to Chebyshev polynomials. FINITE FIELDS AND THEIR APPLICATIONS, v. 52, p. 200-213, . (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, . (17/19190-5)
TAFAZOLIAN, SAEED; TORRES, FERNANDO. On the Ree curve. Journal of Pure and Applied Algebra, v. 223, n. 9, p. 3831-3842, . (17/19190-5)
TAFAZOLIAN, SAEED; TOP, JAAP. On certain maximal hyperelliptic curves related to Chebyshev polynomials. JOURNAL OF NUMBER THEORY, v. 203, p. 276-293, . (17/19190-5)

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