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

Autor(es)

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

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Advances in Mathematics of Communications; v. 12, n. 1, p. 143-149, FEB 2018.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 13/00564-1 - Pontos racionais em curvas algébricas sobre corpos finitos.
• Beneficiário: Nazar Arakelian
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado