A New View on HJLS and PSLQ:
Sums and Projections of Lattices,
with Jingwei Chen
and Gilles Villard.
Accepted to ISSAC'13 |
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Classical Hardness of Learning with Errors,
with Zvika Brakerski,
Adeline Langlois,
Chris Peikert,
and Oded Regev.
Accepted to STOC'13 |
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Improved Zero-knowledge Proofs of Knowledge for the ISIS Problem, and Applications,
with San Ling,
Khoa Nguyen and Huaxiong Wang.
In the proceedings of PKC'13. © Springer-Verlag, 2013. |
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Semantically Secure Lattice Codes for the Gaussian Wiretap Channel,
with Cong Ling,
Laura Luzzi
and Jean-Claude Belfiore. Submitted. |
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Making NTRUEncrypt and NTRUSign as secure as worst-case problems over ideal lattices,
with Ron Steinfeld.
Full version of the Eurocrypt'11 article. Submitted. |
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Worst-case to average-case reductions for module lattices,
with Adeline Langlois. Submitted. |
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Decoding by Embedding: Correct Decoding Radius and DMT Optimality,
with Laura Luzzi and Cong Ling. Accepted to
IEEE Transactions on Information Theory,
2013.
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Analyzing Blockwise Lattice
Algorithms using Dynamical Systems, with Guillaume Hanrot and Xavier Pujol.
In the proceedings of
CRYPTO 2011.
© Springer-Verlag, 2011. |
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Algorithms for the
Shortest and Closest Lattice Vector Problems, with Guillaume Hanrot and Xavier Pujol. Invited
contribution for IWCC'11. ©
Springer-Verlag, 2011. | | 
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Making NTRUEnc as secure as worst-case problems over ideal lattices,
with Ron Steinfeld.
In the proceedings of Eurocrypt 2011.
© Springer-Verlag, 2011. |
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An LLL-reduction algorithm with quasi-linear time complexity,
with Andrew Novocin
and Gilles Villard.
In the proceedings of STOC 2011. |
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Rigorous Perturbation Bounds of Some Matrix Factorizations,
with Xiao-Wen Chang.
In SIAM Journal on Matrix Analysis and Applications (SIMAX), 2010. |
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Faster Fully Homomorphic Encryption,
with Ron Steinfeld.
In the proceedings of Asiacrypt 2010.
© Springer-Verlag, 2010. |
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Accelerating Lattice Reduction with FPGAs,
with Jérémie Detrey,
Guillaume Hanrot
and Xavier Pujol.
In the proceedings of LatinCrypt'10.
© Springer-Verlag, 2010. |
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A Complete Worst-Case Analysis of Kannan's Shortest Lattice Vector Algorithm,
with Guillaume Hanrot. |
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Short Bases of Lattices over Number Fields,
with Claus Fieker.
In the proceedings of ANTS-IX.
© Springer-Verlag, 2010. |
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On the Extremality of an 80-Dimensional Lattice,
with Mark Watkins.
In the proceedings of ANTS-IX.
© Springer-Verlag, 2010. |
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Decoding by Sampling: A Randomized Lattice Algorithm for Bounded Distance Decoding,
with Shuiyin Liu and Cong Ling.
In IEEE Transactions on Information Theory, 2011. |
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Solving the Shortest Lattice Vector Problem in Time 2^2.465n,
with Xavier Pujol. IACR eprint 2009/605. |
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Perturbation Analysis of the QR factor R in the Context of LLL Lattice Basis Reduction,
with Xiao-Wen Chang
and Gilles Villard.
In Mathematics of Computation, 2012. |
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Efficient Public-Key Encryption Based on Ideal Lattices (Extended Abstract),
with Ron Steinfeld,
Keisuke Tanaka
and Keita Xagawa.
In the proceedings of ASIACRYPT 2009.
© Springer-Verlag, 2009. |
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Handbook of Floating-Point Arithmetic,
with Jean-Michel Muller,
Nicolas Brisebarre,
Florent de Dinechin,
Claude-Pierre Jeannerod,
Vincent Lefèvre,
Guillaume Melquiond,
Nathalie Revol and
Serge Torres.
© Birkhauser, 2009. | | |
H-LLL: Using Householder inside LLL,
with Ivan Morel
and Gilles Villard.
In the proceedings of ISSAC 2009.
© ACM, 2009. |
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An LLL Algorithm with Quadratic Complexity,
with Phong Nguyen.
SIAM Journal on Computing, 2009. |
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Low-Dimensional Lattice Basis Reduction Revisited (Full Version),
with Phong Nguyen.
Transactions on Algorithms.
© ACM, 2009. |
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Analyse numérique et réduction de réseaux (in French),
with Ivan Morel and
Gilles Villard.
TSI, 2010. |
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Rigorous and efficient short lattice vectors enumeration,
with Xavier Pujol.
In the proceedings of ASIACRYPT 2008.
© Springer-Verlag, 2008. |
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Worst-Case Hermite-Korkine-Zolotarev Reduced Lattice Bases,
with Guillaume Hanrot.
INRIA research report, 2008. |
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Speeding-up Lattice Reduction with Random Projections,
with Ali Akhavi.
In the proceedings of LATIN'08.
© Springer-Verlag, 2008. |
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Floating-point LLL: theoretical and practical aspects.
Survey for the LLL+25 conference, 2007.
Chapter of "The
LLL Algorithm, survey and applications". © Springer-Verlag, 2009. |
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Improved Analysis of Kannan's Shortest Lattice Vector Algorithm,
with Guillaume Hanrot.
In the proceedings of CRYPTO 2007.
© Springer-Verlag, 2007. |
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Worst Cases of a Periodic Function for Large
Arguments, with Guillaume
Hanrot, Vincent
Lefèvre and
Paul Zimmermann.
In the proceedings of
ARITH'18, 2007.
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Worst Cases for the Exponential Function in the
IEEE 754r decimal64 Format, with
Vincent
Lefèvre
and Paul Zimmermann.
In a special LNCS volume, following the Dagstuhl seminar
number 06021 (Reliable Implementation of
Real Number Algorithms: Theory and Practice), 2006.
© Springer-Verlag, 2008. |
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On the Randomness of Bits Generated by
Sufficiently Smooth Functions.
In the proceedings of the
ANTS-VII conference,
© Springer-Verlag, 2006. |
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LLL on the Average, with
Phong Nguyen.
In the proceedings of the
ANTS-VII conference,
© Springer-Verlag, 2006. |
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Floating-point LLL Revisited, with
Phong Nguyen.
In the proceedings of
Eurocrypt 2005,
© Springer-Verlag, 2005. |
Gal's Accurate Tables Method Revisited,
with Paul Zimmermann.
In the proceedings of
Arith'17, 2005.
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Searching Worst Cases of a One-Variable Function Using Lattice Reduction,
with Vincent Lefèvre
and Paul Zimmermann.
In IEEE
Transactions on Computers, march 2005.
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A Binary Recursive Gcd Algorithm, with
Paul Zimmermann.
In the proceedings of ANTS-VI,
© Springer-Verlag, 2004. |
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Low-Dimensional Lattice Basis Reduction
Revisited (Extended Abstract), with
Phong Nguyen.
In the proceedings of ANTS-VI,
© Springer-Verlag, 2004. |
Worst Cases and Lattice Reduction, with Vincent Lefèvre
and Paul Zimmermann.
In the proceedings of ARITH'16,
2003. |
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