C. Arène, T. Lange, M. Naehrig, and C. Ritzenthaler, Faster computation of the Tate pairing, Journal of Number Theory, vol.131, issue.5, pp.842-857, 2011.
DOI : 10.1016/j.jnt.2010.05.013

S. L. Paulo, S. D. Barreto, C. Galbraith, ´. Colm´o-'h, M. Eigeartaigh et al., Efficient pairing computation on supersingular abelian varieties, Des. Codes Cryptogr, vol.42, issue.3, pp.239-271, 2007.

W. Joppe, C. Bos, H. Costello, K. Hisil, and . Lauter, Two is greater than one, Cryptology ePrint Archive, vol.670670, 2012.

R. Cosset and D. Robert, An algorithm for computing (?, ?)-isogenies in polynomial time on jacobians of hyperelliptic curves of genus 2, p.578991, 2011.

C. Costello, T. Lange, and M. Naehrig, Faster Pairing Computations on Curves with High-Degree Twists, pp.224-242, 2010.
DOI : 10.1007/978-3-642-13013-7_14

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.215.4568

A. Enge, Bilinear pairings on elliptic curves, L???Enseignement Math??matique, vol.61, issue.1, p.2012
DOI : 10.4171/LEM/61-1/2-9

URL : https://hal.archives-ouvertes.fr/hal-00767404

S. D. Galbraith, F. Hess, and F. Vercauteren, Hyperelliptic Pairings, Lecture Notes in Comput. Sci, vol.4575, pp.108-131, 2007.
DOI : 10.1007/978-3-540-73489-5_7

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.1880

D. Steven, X. Galbraith, and . Lin, Computing pairings using x-coordinates only. Designs, Codes and Cryptography, pp.305-324, 2009.

P. Gaudry, Fast genus 2 arithmetic based on Theta functions, Journal of Mathematical Cryptology, vol.1, issue.3, pp.243-265, 2007.
DOI : 10.1515/JMC.2007.012

URL : https://hal.archives-ouvertes.fr/inria-00000625

P. Gaudry and D. Lubicz, The arithmetic of characteristic 2 Kummer surfaces and of elliptic Kummer lines. Finite Fields Appl, pp.246-260, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00266565

R. Granger, F. Hess, R. Oyono, N. Thériault, and F. Vercauteren, Ate Pairing on Hyperelliptic Curves, Advances in cryptology?EUROCRYPT 2007, pp.430-447, 2007.
DOI : 10.1007/978-3-540-72540-4_25

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.511.5206

F. Hess, Pairing lattices. Pairing-Based Cryptography?Pairing, pp.18-38, 2008.
DOI : 10.1007/978-3-540-85538-5_2

F. Hess, N. P. Smart, and F. Vercauteren, The Eta Pairing Revisited, IEEE Transactions on Information Theory, vol.52, issue.10, pp.4595-4602, 2006.
DOI : 10.1109/TIT.2006.881709

J. Igusa, Theta functions, Die Grundlehren der mathematischen Wissenschaften, 0194.
DOI : 10.1007/978-3-642-65315-5

S. Koizumi, Theta Relations and Projective Normality of Abelian Varieties, American Journal of Mathematics, vol.98, issue.4, pp.865-889, 1976.
DOI : 10.2307/2374034

S. Lang, Reciprocity and Correspondences, American Journal of Mathematics, vol.80, issue.2, pp.431-440, 1958.
DOI : 10.2307/2372793

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.489.854

T. Lange, Formulae for arithmetic on genus 2 hyperelliptic curves Applicable Algebra in Engineering, Communication and Computing, vol.15, issue.5, pp.295-328, 2005.

S. Lichtenbaum, Duality theorems for curves overP-adic fields, Inventiones Mathematicae, vol.27, issue.2, pp.120-136, 1969.
DOI : 10.1007/BF01389795

D. Lubicz and D. Robert, Efficient pairing computation with theta functions Algorithmic Number Theory, 9th International Symposium, 2010.
DOI : 10.1007/978-3-642-14518-6_21

URL : https://hal.archives-ouvertes.fr/hal-00528944/document

S. Victor and . Miller, The Weil pairing, and its efficient calculation, J. Cryptology, vol.17, issue.4, pp.235-261, 2004.

D. Mumford, On the equations defining abelian varieties. I, Inventiones Mathematicae, vol.111, issue.4, pp.287-354, 1966.
DOI : 10.1007/BF01389737

D. Mumford, On the equations defining abelian varieties. II, Inventiones Mathematicae, vol.3, issue.2, pp.75-135, 1967.
DOI : 10.1007/BF01389741

D. Mumford, Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, issue.5, 1970.

D. Mumford, Tata lectures on theta I, volume 28 of Progress in Mathematics, Birkhäuser Boston Inc, 1983.

D. Mumford, Tata lectures on theta II Jacobian theta functions and differential equations, Progress in Mathematics. Birkhäuser Boston Inc, vol.43, 1984.
DOI : 10.1007/978-0-8176-4579-3

J. H. Silverman, The arithmetic of elliptic curves, Graduate Texts in Mathematics, vol.106, 1986.

F. Vercauteren, Optimal Pairings, IEEE Transactions on Information Theory, vol.56, issue.1, pp.455-461, 2010.
DOI : 10.1109/TIT.2009.2034881

F. Vercauteren, Optimal pairings. Information Theory, IEEE Transactions on, vol.56, issue.1, pp.455-461, 2010.
DOI : 10.1109/tit.2009.2034881

P. Wamelen, Equations for the Jacobian of a hyperelliptic curve, Transactions of the American Mathematical Society, vol.350, issue.08, pp.3083-3106, 1999.
DOI : 10.1090/S0002-9947-98-02056-X