Année
Publications
Faster computation of the Tate pairing. With supplementary material available online.
J. Number Theory 131, no. 5, 842–857, 2011.
On rationality of the intersection points of a line with a plane quartic.
Arithmetic of finite fields, 224–237, Lecture Notes in Comput. Sci., 6087, Springer, Berlin, 2010.
Genus 3 curves with many involutions and application to maximal curves in characteristic 2.
Arithmetic, geometry, cryptography and coding theory 2009, 71–85, Contemp. Math., 521, Amer. Math. Soc., Providence, RI, 2010.
Jacobians among Abelian threefolds: a formula of Klein and a question of Serre.
Math. Res. Lett. 17, no. 2, 323--333 and Doklady Akademii Nauk, Vol. 431, No 3, 313--316, 2010.
253 k
On the existence of dimension zero divisors in algebraic function fields defined over F_q.
Acta Arithmetica, 143, N°4, 377--392, 2010.
364 k
Arithmetic, Geometry, Cryptography and Coding Theory.
International Conference, November 5-9, 2007, CIRM, Marseilles, France. Contemporary Mathematics, CONM 487, American Mathematical Society, viii + 206 pp, 2009.
Distortion maps for supersingular genus two curves.
J. Math. Cryptol. 3, no. 1, 1--18, 2009.
Jacobians in isogeny classes of abelian surfaces over finite fields.
Ann. Inst. Fourier (Grenoble) 59, no. 1, 239--289, 2009.
On the existence of dimension zero divisors in algebraic function fields defined over F_q.
ArXiv:0906.5216, 29 Juin 2009.
2008
On some questions of Serre on abelian threefolds.
Algebraic Geometry and its applications (Tahiti, 2007), 88–-115, Ser. Number Theory Appl., 5, World Sci. Publ., Hackensack, NJ, 2008
270 k
Fast addition on non-hyperelliptic genus 3 curves.
Algebraic geometry and its applications, 1--28, Ser. Number Theory Appl., 5, World Sci. Publ., Hackensack, NJ, 2008.
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2.
Finite Fields Appl. 14, no. 3, 676--702, 2008.
Principally polarizable isogeny classes of abelian surfaces over finite fields.
Math. Res. Lett. 15, no. 1, 121--127, 2008.
An explicit formula for the arithmetic-geometric mean in genus 3.
Experiment. Math. 16, no. 4, 421--440, 2007.
The 2-adic CM method for genus 2 curves with application to cryptography.
Advances in cryptology---ASIACRYPT 2006, 114--129, Lecture Notes in Comput. Sci., 4284, Springer, Berlin, 2006.
The Weierstrass subgroup of a curve has maximal rank.
Bull. London Math. Soc. 38, no. 6, 925--931, 2006.
On the ring of invariants of ordinary quartic curves in characteristic 2.
J. Algebra 303, no. 2, 530--542, 2006.
Non hyperelliptic curves of genus three over finite fields of characteristic two.
J. Number Theory 116, no. 2, 443--473, 2006.
Automorphism group of C : y^3+x^4+1=0 in characteristic p.
JP J. Algebra Number Theory Appl. 4, no. 3, 621--623, 2004.
155 k
Point counting on genus 3 non hyperelliptic curves.
Algorithmic number theory, 379--394, Lecture Notes in Comput. Sci., 3076, Springer, Berlin, 2004.
437 k
Automorphismes des courbes modulaires X(n) en caractéristique p [Automorphisms of the modular curves X(n) of characteristic p].
Manuscripta Math. 109, no. 1, 49--62, 2002.
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