D. Coppersmith, Finding Small Solutions to Small Degree Polynomials, Proceedings of the 2001 Cryptography and Lattices Conference (CALC'01), pp.20-31, 2001.
DOI : 10.1007/3-540-44670-2_3

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.8335

G. Mp, The GNU Multiple Precision Arithmetic Library, 4.2, 2006.

T. Lang and J. Muller, Bounds on runs of zeros and ones for algebraic functions, Proceedings 15th IEEE Symposium on Computer Arithmetic. ARITH-15 2001, pp.13-20, 2001.
DOI : 10.1109/ARITH.2001.930099

V. Lefèvre and J. Muller, Worst cases for correct rounding of the elementary functions in double precision, Proceedings 15th IEEE Symposium on Computer Arithmetic. ARITH-15 2001, pp.111-118, 2001.
DOI : 10.1109/ARITH.2001.930110

D. Stehlé, On the Randomness of Bits Generated by Sufficiently Smooth Functions, Proceedings of ANTS VII, pp.257-274, 2006.
DOI : 10.1007/11792086_19

D. Stehlé, V. Lefèvre, and P. Zimmermann, Worst cases and lattice reduction, 16th IEEE Symposium on Computer Arithmetic, 2003. Proceedings., pp.142-147, 2003.
DOI : 10.1109/ARITH.2003.1207672

D. Stehlé, V. Lefèvre, and P. Zimmermann, Searching worst cases of a one-variable function using lattice reduction, IEEE Transactions on Computers, vol.54, issue.3, pp.340-346, 2005.
DOI : 10.1109/TC.2005.55

A. Ziv, Fast evaluation of elementary mathematical functions with correctly rounded last bit, ACM Transactions on Mathematical Software, vol.17, issue.3, pp.410-423, 1991.
DOI : 10.1145/114697.116813

I. Unité-de-recherche and I. Rhône, Alpes 655, avenue de l'Europe -38334 Montbonnot Saint-Ismier (France) Unité de recherche INRIA Futurs : Parc Club Orsay Université -ZAC des Vignes 4

I. Unité-de-recherche and . Lorraine, Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rocquencourt : Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex (France) Unité de recherche, 2004.

I. De-voluceau-rocquencourt, BP 105 -78153 Le Chesnay Cedex (France) http://www.inria.fr ISSN, pp.249-6399