N. Anbar and H. Stichtenoth, Curves of every genus with a prescribed number of rational points, Bulletin of the Brazilian Mathematical Society, New Series, vol.109, issue.3, pp.173-193, 2013.
DOI : 10.1007/s00574-013-0008-8

R. Becker and D. Glass, Pointless Hyperelliptic Curves, Finite Fields Appl, pp.50-57, 2013.
DOI : 10.1016/j.ffa.2013.01.008

URL : http://arxiv.org/abs/1209.2984

G. R. Greenfield and D. Drucker, On the discriminant of a trinomial, Linear Algebra and its Applications, vol.62, pp.105-112, 1984.
DOI : 10.1016/0024-3795(84)90089-2

E. W. Howe, K. E. Lauter, and J. Top, Pointless Curves of Genus Three and Four, Arithmetic, geometry and coding theory, Sémin. Congr, vol.11, pp.125-141, 2003.

Q. Liu, Agebraic Geometry and Arithmetic Curves, Translated from the French by Reinie Erné, Oxford Graduate Texts in Mathematics, vol.6, 2002.

D. Maisner and E. Nart, Abelian Surfaces over Finite Fields as Jacobians, Experimental Mathematics, vol.2, issue.2, pp.321-337, 2002.
DOI : 10.1080/10586458.2002.10504478

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.180.3679

H. M. Stark, On the Riemann Hypothesis in Hyperelliptic Function Fields Analytic number theory, Proc. Sympos, pp.285-302, 1972.

H. Stichtenoth, Curves with a Prescribed Number of Rational Points, Finite Fields Appl Stirpe, An Upper Bound for the Genus of a Curve Without Points of Small Degree, pp.552-559, 2011.

S. Yekhanin, A Note on Plane Pointless Curves, Finite Fields Appl, pp.418-422, 2007.
DOI : 10.1016/j.ffa.2006.11.001

URL : http://doi.org/10.1016/j.ffa.2006.11.001