Title of article :
The a-number of maximal curves of third largest genus
Author/Authors :
Nourozi, Vahid Faculty of Mathematics and Computer Science - Amirkabir University of Technology (Tehran Polytechnic) - Tehran, Iran , Tafazolian, Saeed IMECC/UNICAMP, R. Sergio Buarque de Holanda - Cidade Universitaria - Zeferino Vaz - Campinas, SP, Brazil
Abstract :
The a-number is an invariant of the isomorphism class of the p-torsion group scheme. In this paper, we compute a closed formula for the a-number of yq + y =x(q+1)/3 and سيگما sum_{t=1}^{s} y^{q⁄ 3^t}= xq+1$ with q = 3s over the finite field Fq2 using the action of the Cartier operator on H0(C,Ω1).
Keywords :
a-Number , Cartier operator , Super-singular Curves , Maximal Curves
Journal title :
AUT Journal of Mathematics and Computing
