W. Bosma and J. Cannon, Handbook of Magma functions, 1997.

]. D. Can87 and . Cantor, Computing in the Jacobian of an hyperelliptic curve, Math. Comp, vol.48, issue.177, pp.95-101, 1987.

]. D. Can94 and . Cantor, On the analogue of the division polynomials for hyperelliptic curves, J. Reine Angew. Math, vol.447, pp.91-145, 1994.

]. P. Car57 and . Cartier, Une nouvelle op eration sur les formes dii erentielles, C. R. Acad. Sci. Paris S er. I Math, vol.244, pp.426-428, 1957.

C. Couveignes, Computing l-isogenies using the p-torsion, Second International Symposium, ANTS-II, pp.59-65, 1996.
DOI : 10.1007/3-540-61581-4_41

]. N. Elk98 and . Elkies, Elliptic and modular curves over nite elds and related computational issues, Computational Perspectives on Number Theory Proceedings of a Conference in Honor of A.O.L. Atkin, 1998.

G. Frey and H. R. Uck, A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves, Math. Comp, vol.62, issue.206, pp.865-874, 1994.

]. E. Fre83 and . Freitag, Siegelsche Modulfunktionen, 1983.

]. R. Har and . Harley, On modular equations in genus 2

M. Huang and D. Ierardi, Counting Points on Curves over Finite Fields, Journal of Symbolic Computation, vol.25, issue.1, pp.1-21, 1998.
DOI : 10.1006/jsco.1997.0164

K. F. Ireland and M. Rosen, A classical introduction to modern number theory, of Graduate texts in Mathematics. Springer{Verlag, 1982.

]. W. Kam91, . Kampkk, and . Otter, Explizite Gleichungen f ur Jacobische Variett aten hyperelliptischer Kurven, 1991.

]. H. Kli90 and . Klingen, Introductory lectures on Siegel modular forms of Cambridge studies in advanced mathematics, 1990.

]. N. Kob89 and . Koblitz, Hyperelliptic cryptosystems, J. of Cryptology, vol.1, pp.139-150, 1989.

]. G. Lec99 and . Lecerf, Kronecker, Polynomial Equation System Solver, Reference manual, 1999.

]. R. Ler97 and . Lercier, Algorithmique des courbes elliptiques dans les corps nis, 1997.

]. J. Man65 and . Manin, The Hasse-Witt matrix of an algebraic curve, Trans. Amer. Math. Soc, vol.45, pp.245-264, 1965.

]. F. Mor95 and . Morain, Calcul du nombre de points sur une courbe elliptique dans un corps ni : aspects algorithmiques, J. Th eor. Nombres Bordeaux, vol.7, pp.255-282, 1995.

]. D. Mum84 and . Mumford, Tata lectures on theta II, Progr. Math. Birkhauser, vol.43, 1984.

P. , S. Pohlig, and M. Hellman, An improved algorithm for computing logarithms over GF(p) and its cryptographic signiicance, IEEE Trans. Inform. Theory, pp.106-110, 1978.

]. J. Pil90 and . Pila, Frobenius maps of abelian varieties and nding roots of unity in nite elds, Math. Comp, vol.55, issue.192, pp.745-763, 1990.

J. M. Pollard, Monte Carlo methods for index computation mod p, Math. Comp, vol.32, issue.143, pp.918-924, 1978.

R. and ]. H. Uck, On the discrete logarithm in the divisor class group of curves, Math. Comp, vol.68, issue.226, pp.805-806, 1999.

]. E. Sch and . Schost, Computing parametric geometric resolutions. Submitted to IS- SAC', 2000.

]. R. Sch85 and . Schoof, Elliptic curves over nite elds and the computation of square roots mod p, Math. Comp, vol.44, pp.483-494, 1985.

]. R. Sch95 and . Schoof, Counting points on elliptic curves over nite elds, J. Th eor. Nombres Bordeaux, vol.7, pp.219-254, 1995.

S. A. Stein and E. Teske, Catching kangaroos in function elds, 1999.

]. J. Tat66 and . Tate, Endomorphisms of Abelian varieties over nite elds, Invent. Math, vol.2, pp.134-144, 1966.

]. F. Ver99 and . Vercauteren, #EC(GF(2^1999)). E-mail message to the NMBRTHRY list, 1999.

P. C. Van-oorschot and M. J. Wiener, Parallel Collision Search with Cryptanalytic Applications, Journal of Cryptology, vol.12, issue.1, pp.1-28, 1999.
DOI : 10.1007/PL00003816

]. N. Yui78 and . Yui, On the jacobian varietes of hyperelliptic curves over elds of characteristic p > 2, J. Algebra, vol.52, pp.378-410, 1978.