ON THE SPECTRUM FOR THE GENERA OF MAXIMAL CURVES OVER SMALL FIELDS

Author(s)

Arakelian, Nazar ^[1] ; Tafazolian, Saeed ^{[2, 3]} ; Torres, Fernando ^[4]

Affiliation

^[1] Univ Fed ABC, CMCC, Ave Estados 5001, BR-09210580 Santo Andre, SP - Brazil

^[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran - Iran

^[3] Amirkabir Univ Technol, Dept Math & Comp Sci, 424 Hafez Ave, POB 15875-4413, Tehran - Iran

^[4] Univ Estadual Campinas, IMECC, R Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

• Document type: Journal article
• Source: Advances in Mathematics of Communications; v. 12, n. 1, p. 143-149, FEB 2018.
• Web of Science Citations: 2

Abstract

Motivated by previous computations in Garcia, Stichtenoth and Xing (2000) paper {[}11], we discuss the spectrum M (q(2)) for the genera of maximal curves over fi nite fi elds of order q(2) with 7 <= q <= 16. In particular, by using a result in Kudo and Harashita (2016) paper {[}22], the set M (7(2)) is completely determined. (AU)

• FAPESP's process: 13/00564-1 - Rational points on algebraic curves over finite fields.
• Grantee: Nazar Arakelian
• Support Opportunities: Scholarships in Brazil - Post-Doctoral