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: