Closest point search in lattices, IEEE Transactions on Information Theory, vol.48, issue.8, pp.482201-2214, 2002. ,
DOI : 10.1109/TIT.2002.800499
Improved Progressive BKZ Algorithms and Their Precise Cost Estimation by Sharp Simulator, IACR Cryptology ePrint Archive, p.146, 2016. ,
DOI : 10.1007/978-3-662-49890-3_30
On Lov??sz' lattice reduction and the nearest lattice point problem, Proc. STACS'85, pp.13-20, 1985. ,
DOI : 10.1007/BFb0023990
Practical Lattice Basis Sampling Reduction, Algorithmic number theory, pp.222-237, 2006. ,
DOI : 10.1007/11792086_17
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.79.7591
BKZ 2.0: Better Lattice Security Estimates, Advances in cryptology?ASIACRYPT 2011, pp.1-20, 2011. ,
DOI : 10.1007/978-3-642-25385-0_1
URL : https://hal.archives-ouvertes.fr/hal-01109961
A Genetic Algorithm for Searching the Shortest Lattice Vector of SVP Challenge, Proceedings of the 2015 on Genetic and Evolutionary Computation Conference, GECCO '15, pp.823-830, 2015. ,
DOI : 10.1145/2739480.2754639
URL : https://hal.archives-ouvertes.fr/hal-01256186
Improved methods for calculating vectors of short length in a lattice, including a complexity analysis, Mathematics of Computation, vol.44, issue.170, pp.463-471, 1985. ,
DOI : 10.1090/S0025-5718-1985-0777278-8
An Accelerated Algorithm for Solving SVP Based on Statistical Analysis, Journal of Information Processing, vol.23, issue.1, pp.67-80, 2015. ,
DOI : 10.2197/ipsjjip.23.67
Analysis of the extended search space for the shortest vector in lattice, Journal of Systemics, Cybernetics and Informatics, vol.9, issue.6, pp.42-46, 2011. ,
Predicting Lattice Reduction, Proc. of Eurocrypt'08, pp.31-51, 2008. ,
DOI : 10.1007/978-3-540-78967-3_3
Lattice Enumeration Using Extreme Pruning, Advances in cryptology? EUROCRYPT 2010, pp.257-278, 2010. ,
DOI : 10.1007/978-3-642-13190-5_13
URL : https://hal.archives-ouvertes.fr/hal-01083526
Improved analysis of Kannan's shortest lattice vector algorithm (extended abstract), Proceedings of Crypto 2007, pp.170-186, 2007. ,
DOI : 10.1007/978-3-540-74143-5_10
URL : http://arxiv.org/abs/0705.0965
Polynomial Time Algorithms for Finding Integer Relations among Real Numbers, SIAM Journal on Computing, vol.18, issue.5, pp.859-881, 1989. ,
DOI : 10.1137/0218059
Numerical inversion of Laplace transform and some applications to wave optics, Radio Science, vol.6, issue.3, pp.1015-1019, 1981. ,
DOI : 10.1029/RS016i006p01015
Improved algorithms for integer programming and related lattice problems, Proceedings of the fifteenth annual ACM symposium on Theory of computing , STOC '83, pp.193-206, 1983. ,
DOI : 10.1145/800061.808749
Factoring polynomials with rational coefficients, Mathematische Annalen, vol.32, issue.4, pp.513-534, 1982. ,
DOI : 10.1007/BF01457454
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.310.318
Better Key Sizes (and Attacks) for LWE-Based Encryption, CT-RSA, pp.319-339, 2011. ,
DOI : 10.1007/3-540-45708-9_19
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.352.8558
Solving BDD by Enumeration: An Update, Topics in Cryptology -Proc. CT-RSA 2013, pp.293-309, 2013. ,
DOI : 10.1007/978-3-642-36095-4_19
URL : https://hal.archives-ouvertes.fr/hal-00864361
Practical Lattice Basis Sampling Reduction, 2005. ,
Lattice points in high-dimensional spheres, Monatshefte f??r Mathematik, vol.31, issue.1, pp.47-61, 1990. ,
DOI : 10.1007/BF01571276
Public-key cryptanalysis, Recent Trends in Cryptography, 2009. ,
DOI : 10.1090/conm/477/09304
LLL on the Average, ANTS, pp.238-256, 2006. ,
DOI : 10.1007/11792086_18
URL : https://hal.archives-ouvertes.fr/hal-00107309
On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications, ACM SIGSAM Bulletin, vol.15, issue.1, pp.37-44, 1981. ,
DOI : 10.1145/1089242.1089247
The Number of Lattice Points in a Set, Proc. London Math. Soc. (3), pp.305-320, 1956. ,
DOI : 10.1112/plms/s3-6.2.305
Problems and solutions Subsection: The Volume of the Intersection of a Cube and a Ball in N-space, SIAM Review, vol.39, issue.4, pp.779-786, 1997. ,
SVP challenge ,
Random Sampling for Short Lattice Vectors on Graphics Cards, Proc. CHES 2011, pp.160-175, 2011. ,
DOI : 10.1007/978-3-642-23951-9_11
Lattice Reduction by Random Sampling and Birthday Methods, Proc. STACS 2003, pp.145-156, 2003. ,
DOI : 10.1007/3-540-36494-3_14
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.6624
Lattice basis reduction: Improved practical algorithms and solving subset sum problems, Mathematical Programming, vol.13, issue.1, pp.181-199, 1994. ,
DOI : 10.1007/BF01581144
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.3331
Attacking the Chor-Rivest Cryptosystem by Improved Lattice Reduction, Proc. of Eurocrypt '95, pp.1-12, 1995. ,
DOI : 10.1007/3-540-49264-X_1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.1847
Available at https://www.securityinnovation.com/products/ntru-crypto/ntru-challeng 34. C. L. Siegel. A mean value theorem in geometry of numbers, Ann. of Math, vol.46, issue.2, pp.340-347, 1945. ,
On the Extremality of an 80-Dimensional Lattice, Algorithmic Number Theory ? Proc. ANTS-IX, pp.340-356, 2010. ,
DOI : 10.1007/978-3-642-14518-6_27