The curve Y-n = X-l (X-m+1) over finite fields II

Author(s)

Tafazolian, Saeed ^[1] ; Torres, Fernando ^[1]

Affiliation

^[1] IMECC UNICAMP, R Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

• Document type: Journal article
• Source: ADVANCES IN GEOMETRY; v. 21, n. 3, p. 385-390, JUL 2021.
• Web of Science Citations: 0

Abstract

Let F be the finite field of order q(2). In this paper we continue the study in {[}24], {[}23], {[}22] of F-maximal curves defined by equations of type y(n) = x(l)(x(m) + 1). New results are obtained via certain subcovers of the nonsingular model of v(N) = u(t2) - u where q = t(alpha), alpha >= 3 is odd and N = (t(alpha)+ 1)/(t + 1). We observe that the case alpha = 3 is closely related to the Giulietti Korchmaros curve. (AU)

• FAPESP's process: 17/19190-5 - Curves with many rational points over finite fields and their applications in coding theory
• Grantee: Saeed Tafazolian
• Support Opportunities: Regular Research Grants