On the spectrum for the genera of maximal curves over small fields

Número: 
16
Ano: 
2016
Autor: 
Nazar Arakelian
Saeed Tafazolian
Fernando Torres
Abstract: 

Motivated by previous computations in Garcia, Stichtenoth and Xing (2000) paper [9], we discuss the spectrum M(q 2 ) for the genera of maximal curves over finite fields of order q 2 with 7 ≤ q ≤ 16. In particular, by using a result in Kudo and Harashita(2016) paper [17], the set M(7 2 ) is completely determined.

Keywords: 
Finite field
Hasse-Weil bound
Stöhr-Voloch theory
maximal curve
Arquivo: