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  • The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities of dissemination and teaching. Finally, the report gives the list of publications of the year.

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LFANT - 2018



Bibliography

Major publications by the team in recent years
  • 1E. Bayer-Fluckiger, J.-P. Cerri, J. Chaubert.

    Euclidean minima and central division algebras, in: International Journal of Number Theory, 2009, vol. 5, no 7, pp. 1155–1168.

    http://www.worldscinet.com/ijnt/05/0507/S1793042109002614.html
  • 2K. Belabas, M. Bhargava, C. Pomerance.

    Error estimates for the Davenport-Heilbronn theorems, in: Duke Mathematical Journal, 2010, vol. 153, no 1, pp. 173–210.

    http://projecteuclid.org/euclid.dmj/1272480934
  • 3J. Belding, R. Bröker, A. Enge, K. Lauter.

    Computing Hilbert class polynomials, in: Algorithmic Number Theory — ANTS-VIII, Berlin, A. van der Poorten, A. Stein (editors), Lecture Notes in Computer Science, Springer-Verlag, 2007, vol. 5011.

    http://hal.inria.fr/inria-00246115
  • 4X. Caruso, J. L. Borgne.

    A new faster algorithm for factoring skew polynomials over finite fields, in: J. Symbolic Comput., 2018, vol. 79, pp. 411–443.
  • 5X. Caruso, D. Roe, T. Vaccon.

    Tracking p-adic precision, in: LMS J. Comput. Math., 2014, vol. 17, pp. 274–294.
  • 6J.-P. Cerri.

    Euclidean minima of totally real number fields: algorithmic determination, in: Math. Comp., 2007, vol. 76, no 259, pp. 1547–1575.

    http://www.ams.org/journals/mcom/2007-76-259/S0025-5718-07-01932-1/
  • 7H. Cohen.

    Number Theory I: Tools and Diophantine Equations; II: Analytic and Modern Tool, Graduate Texts in Mathematics, Springer-Verlag, New York, 2007, vol. 239/240.
  • 8H. Cohen, G. Frey, R. Avanzi, C. Doche, T. Lange, K. Nguyen, F. Vercauteren.

    Handbook of Elliptic and Hyperelliptic Curve Cryptography, Discrete mathematics and its applications, Chapman & Hall, Boca Raton, 2006.
  • 9J.-M. Couveignes, B. Edixhoven.

    Computational aspects of modular forms and Galois representations, Princeton University Press, 2011.
  • 10A. Enge.

    The complexity of class polynomial computation via floating point approximations, in: Mathematics of Computation, 2009, vol. 78, no 266, pp. 1089–1107.

    http://www.ams.org/mcom/2009-78-266/S0025-5718-08-02200-X/home.html
  • 11A. Enge, P. Gaudry, E. Thomé.

    An L(1/3) Discrete Logarithm Algorithm for Low Degree Curves, in: Journal of Cryptology, 2011, vol. 24, no 1, pp. 24–41.
  • 12D. Lubicz, D. Robert.

    Computing isogenies between abelian varieties, in: Compositio Mathematica, 09 2012, vol. 148, no 05, pp. 1483–1515.

    http://dx.doi.org/10.1112/S0010437X12000243
Publications of the year

Doctoral Dissertations and Habilitation Theses

Articles in International Peer-Reviewed Journals

International Conferences with Proceedings

  • 24G. Castagnos, F. Laguillaumie, I. Tucker.

    Practical Fully Secure Unrestricted Inner Product Functional Encryption modulo p, in: ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, Australia, T. Peyri, S. Galbraith (editors), Advances in Cryptology – ASIACRYPT 2018, December 2018, vol. LNCS, no 11273, pp. 733-764.

    https://hal.archives-ouvertes.fr/hal-01934296
  • 25L. De Feo, J. Kieffer, B. Smith.

    Towards practical key exchange from ordinary isogeny graphs, in: ASIACRYPT 2018, Brisbane, Australia, December 2018, https://arxiv.org/abs/1809.07543.

    https://hal.inria.fr/hal-01872817
  • 26F. Johansson.

    Numerical integration in arbitrary-precision ball arithmetic, in: Mathematical Software – ICMS 2018, Notre Dame, United States, Lecture Notes in Computer Science, Springer, 2018, no 10931, pp. 255–263.

    https://hal.inria.fr/hal-01714969

Scientific Books (or Scientific Book chapters)

Other Publications

References in notes
  • 38K. Belabas.

    L'algorithmique de la théorie algébrique des nombres, in: Théorie algorithmique des nombres et équations diophantiennes, N. Berline, A. Plagne, C. Sabbah (editors), 2005, pp. 85–155.
  • 39H. Cohen.

    Expansions at Cusps and Petersson Products in Pari/GP, in: Elliptic Integrals, Functions, and Modular Forms in Quantum Field Theory, Zeuthen, Germany, Elliptic Integrals, Functions, and Modular Forms in Quantum Field Theory, Springer Wien, October 2017.

    https://hal.inria.fr/hal-01883070
  • 40H. Cohen, P. Stevenhagen.

    Computational class field theory, in: Algorithmic Number Theory — Lattices, Number Fields, Curves and Cryptography, J. Buhler, P. Stevenhagen (editors), MSRI Publications, Cambridge University Press, 2008, vol. 44.
  • 41A. Enge.

    Courbes algébriques et cryptologie, Université Denis Diderot, Paris 7, 2007, Habilitation à diriger des recherches.

    http://tel.archives-ouvertes.fr/tel-00382535/en/
  • 42A. Page, A. Bartel.

    Torsion homology and regulators of isospectral manifolds, in: Journal of topology, December 2016, vol. 9, no 4, pp. 1237 - 1256. [ DOI : 10.1112/jtopol/jtw023 ]

    https://hal.inria.fr/hal-01671812