-
1
-
-
0036670969
-
Closest point search in lattices
-
Agrell, E., Eriksson, T., Vardy, A., Zeger, K.: Closest point search in lattices. IEEE Transactions on Information Theory 48(8), 2201-2214 (2002)
-
(2002)
IEEE Transactions on Information Theory
, vol.48
, Issue.8
, pp. 2201-2214
-
-
Agrell, E.1
Eriksson, T.2
Vardy, A.3
Zeger, K.4
-
2
-
-
0002621248
-
2 is NP-hard for randomized reductions (extended abstract)
-
ACM Press, New York
-
2 is NP-hard for randomized reductions (extended abstract). In: Proc. of the 30th Symposium on the Theory of Computing (STOC 1998), pp. 284-293. ACM Press, New York (1998)
-
(1998)
Proc. of the 30th Symposium on the Theory of Computing (STOC
, pp. 284-293
-
-
Ajtai, M.1
-
3
-
-
0030679849
-
A public-key cryptosystem with worst-case/average- case equivalence
-
ACM Press, New York
-
Ajtai, M., Dwork, C.: A public-key cryptosystem with worst-case/average- case equivalence. In: Proc. of the 29th Symposium on the Theory of Computing (STOC 1997), pp. 284-293. ACM Press, New York (1997)
-
(1997)
Proc. of the 29th Symposium on the Theory of Computing (STOC
, pp. 284-293
-
-
Ajtai, M.1
Dwork, C.2
-
4
-
-
0034826416
-
A sieve algorithm for the shortest lattice vector problem
-
ACM Press, New York
-
Ajtai, M., Kumar, R., Sivakumar, D.: A sieve algorithm for the shortest lattice vector problem. In: Proc. of the 33rd Symposium on the Theory of Computing (STOC 2001), pp. 601-610. ACM Press, New York (2001)
-
(2001)
Proc. of the 33rd Symposium on the Theory of Computing (STOC
, pp. 601-610
-
-
Ajtai, M.1
Kumar, R.2
Sivakumar, D.3
-
5
-
-
58349104933
-
-
implementation
-
Cadé, D., Pujol, X., Stehlé, D.: fplll-3.0, a floating-point LLL implementation, http://perso.ens-lyon.fr/damien.stehle
-
fplll-3.0, a floating-point
-
-
Cadé, D.1
Pujol, X.2
Stehlé, D.3
-
6
-
-
58349088022
-
-
Cohen, H.: A Course in Computational Algebraic Number Theory, 2nd edn. Springer, Heidelberg (1995)
-
Cohen, H.: A Course in Computational Algebraic Number Theory, 2nd edn. Springer, Heidelberg (1995)
-
-
-
-
7
-
-
0011039877
-
Another NP-complete partition problem and the complexity of computing short vectors in a lattice
-
Technical report 81-04, Mathematisch Instituut, Universiteit van Amsterdam
-
van Emde Boas, P.: Another NP-complete partition problem and the complexity of computing short vectors in a lattice. Technical report 81-04, Mathematisch Instituut, Universiteit van Amsterdam (1981)
-
(1981)
-
-
van Emde Boas, P.1
-
8
-
-
85034421252
-
A procedure for determining algebraic integers of given norm
-
van Hulzen, J.A, ed, ISSAC 1983 and EUROCAL 1983, Springer, Heidelberg
-
Fincke, U., Pohst, M.: A procedure for determining algebraic integers of given norm. In: van Hulzen, J.A. (ed.) ISSAC 1983 and EUROCAL 1983. LNCS, vol. 162, pp. 194-202. Springer, Heidelberg (1983)
-
(1983)
LNCS
, vol.162
, pp. 194-202
-
-
Fincke, U.1
Pohst, M.2
-
9
-
-
33749542547
-
Rankin's constant and blockwise lattice reduction
-
Dwork, C, ed, CRYPTO 2006, Springer, Heidelberg
-
Gama, N., Howgrave-Graham, N., Koy, H., Nguyen, P.: Rankin's constant and blockwise lattice reduction. In: Dwork, C. (ed.) CRYPTO 2006. LNCS, vol. 4117, pp. 112-130. Springer, Heidelberg (2006)
-
(2006)
LNCS
, vol.4117
, pp. 112-130
-
-
Gama, N.1
Howgrave-Graham, N.2
Koy, H.3
Nguyen, P.4
-
11
-
-
44449128937
-
Predicting lattice reduction
-
Smart, N.P, ed, EUROCRYPT 2008, Springer, Heidelberg
-
Gama, N., Nguyen, P.: Predicting lattice reduction. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 31-51. Springer, Heidelberg (2008)
-
(2008)
LNCS
, vol.4965
, pp. 31-51
-
-
Gama, N.1
Nguyen, P.2
-
12
-
-
51849137205
-
Trapdoors for hard lattices and new cryptographic constructions
-
ACM Press, New York
-
Gentry, C., Peikert, C., Vaikuntanathan, V.: Trapdoors for hard lattices and new cryptographic constructions. In: Proc. of the 40th Symposium on the Theory of Computing (STOC 2008), pp. 197-206. ACM Press, New York (2008)
-
(2008)
Proc. of the 40th Symposium on the Theory of Computing (STOC
, pp. 197-206
-
-
Gentry, C.1
Peikert, C.2
Vaikuntanathan, V.3
-
13
-
-
84958655849
-
Public-key cryptosystems from lattice reduction problems
-
Kaliski Jr, B.S, ed, CRYPTO 1997, Springer, Heidelberg
-
Goldreich, O., Goldwasser, S., Halevi, S.: Public-key cryptosystems from lattice reduction problems. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 112-131. Springer, Heidelberg (1997)
-
(1997)
LNCS
, vol.1294
, pp. 112-131
-
-
Goldreich, O.1
Goldwasser, S.2
Halevi, S.3
-
14
-
-
38049105289
-
Improved analysis of Kannan's shortest lattice vector algorithm (extended abstract)
-
Menezes, A, ed, CRYPTO 2007, Springer, Heidelberg
-
Hanrot, G., Stehlé, D.: Improved analysis of Kannan's shortest lattice vector algorithm (extended abstract). In: Menezes, A. (ed.) CRYPTO 2007. LNCS, vol. 4622, pp. 170-186. Springer, Heidelberg (2007)
-
(2007)
LNCS
, vol.4622
, pp. 170-186
-
-
Hanrot, G.1
Stehlé, D.2
-
15
-
-
33747647957
-
Integer parameter estimation in linear models with applications to GPS
-
Hassibi, A., Boyd, S.: Integer parameter estimation in linear models with applications to GPS. IEEE Transactions on signal process 46(11), 2938-2952 (1998)
-
(1998)
IEEE Transactions on signal process
, vol.46
, Issue.11
, pp. 2938-2952
-
-
Hassibi, A.1
Boyd, S.2
-
17
-
-
84947808606
-
-
Hoffstein, J., Pipher, J., Silverman, J.H.: NTRU: a ring based public key cryptosystem. In: Buhler, J.P. (ed.) ANTS 1998. LNCS, 1423, pp. 267-288. Springer, Heidelberg (1998)
-
Hoffstein, J., Pipher, J., Silverman, J.H.: NTRU: a ring based public key cryptosystem. In: Buhler, J.P. (ed.) ANTS 1998. LNCS, vol. 1423, pp. 267-288. Springer, Heidelberg (1998)
-
-
-
-
18
-
-
0001134554
-
Lattice reduction: A toolbox for the cryptanalyst
-
Joux, A., Stern, J.: Lattice reduction: a toolbox for the cryptanalyst. Journal of Cryptology 11(3), 161-185 (1998)
-
(1998)
Journal of Cryptology
, vol.11
, Issue.3
, pp. 161-185
-
-
Joux, A.1
Stern, J.2
-
19
-
-
38049142985
-
Improved algorithms for integer programming and related lattice problems
-
ACM Press, New York
-
Kannan, R.: Improved algorithms for integer programming and related lattice problems. In: Proc. of the 15th Symposium on the Theory of Computing (STOC 1983), pp. 99-108. ACM Press, New York (1983)
-
(1983)
Proc. of the 15th Symposium on the Theory of Computing (STOC
, pp. 99-108
-
-
Kannan, R.1
-
20
-
-
34250244723
-
Factoring polynomials with rational coefficients
-
Lenstra, A.K., Lenstra Jr., H.W., Lovász, L.: Factoring polynomials with rational coefficients. Mathematische Annalen 261, 513-534 (1982)
-
(1982)
Mathematische Annalen
, vol.261
, pp. 513-534
-
-
Lenstra, A.K.1
Lenstra Jr., H.W.2
Lovász, L.3
-
21
-
-
40249086645
-
-
Lyubashevsky, V.: Lattice-based identification schemes secure under active attacks. In: Cramer, R. (ed.) PKC 2008. LNCS, 4939, pp. 162-179. Springer, Heidelberg (2008)
-
Lyubashevsky, V.: Lattice-based identification schemes secure under active attacks. In: Cramer, R. (ed.) PKC 2008. LNCS, vol. 4939, pp. 162-179. Springer, Heidelberg (2008)
-
-
-
-
22
-
-
40249114814
-
-
Lyubashevsky, V., Micciancio, D.: Asymptotically efficient lattice-based digital signatures. In: Canetti, R. (ed.) TCC 2008. LNCS, 4948, pp. 37-54. Springer, Heidelberg (2008)
-
Lyubashevsky, V., Micciancio, D.: Asymptotically efficient lattice-based digital signatures. In: Canetti, R. (ed.) TCC 2008. LNCS, vol. 4948, pp. 37-54. Springer, Heidelberg (2008)
-
-
-
-
23
-
-
50249148926
-
-
Lyubashevsky, V., Micciancio, D., Peikert, C., Rosen, A.: SWIFFT: a modest proposal for FFT hashing. In: Nyberg, K. (ed.) FSE 2008. LNCS, 5086, pp. 54-72. Springer, Heidelberg (2008)
-
Lyubashevsky, V., Micciancio, D., Peikert, C., Rosen, A.: SWIFFT: a modest proposal for FFT hashing. In: Nyberg, K. (ed.) FSE 2008. LNCS, vol. 5086, pp. 54-72. Springer, Heidelberg (2008)
-
-
-
-
24
-
-
77949297748
-
Lattice-based cryptography
-
Buchmann, J, Ding, J, eds, PQCrypto 2008, Springer, Heidelberg
-
Micciancio, D., Regev, O.: Lattice-based cryptography. In: Buchmann, J., Ding, J. (eds.) PQCrypto 2008. LNCS, vol. 5299. Springer, Heidelberg (2008)
-
(2008)
LNCS
, vol.5299
-
-
Micciancio, D.1
Regev, O.2
-
25
-
-
0028515908
-
Maximum likelihood sequence estimation from the lattice viewpoint
-
Mow, W.H.: Maximum likelihood sequence estimation from the lattice viewpoint. IEEE Transactions on Information Theory 40, 1591-1600 (1994)
-
(1994)
IEEE Transactions on Information Theory
, vol.40
, pp. 1591-1600
-
-
Mow, W.H.1
-
26
-
-
84957089305
-
-
Nguyen. P.: Cryptanalysis of the Goldreich-Goldwasser-Halevi cryptosystem from Crypto 1997. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, 1666, pp. 288-304. Springer, Heidelberg (1999)
-
Nguyen. P.: Cryptanalysis of the Goldreich-Goldwasser-Halevi cryptosystem from Crypto 1997. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 288-304. Springer, Heidelberg (1999)
-
-
-
-
27
-
-
24944584767
-
Floating-point LLL revisited
-
Cramer, R, ed, EUROCRYPT 2005, Springer, Heidelberg
-
Nguyen, P., Stehlé, D.: Floating-point LLL revisited. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 215-233. Springer, Heidelberg (2005)
-
(2005)
LNCS
, vol.3494
, pp. 215-233
-
-
Nguyen, P.1
Stehlé, D.2
-
28
-
-
57049145514
-
Sieve algorithms for the shortest vector problem are practical
-
to appear
-
Nguyen, P., Vidick, T.: Sieve algorithms for the shortest vector problem are practical. Journal of Mathematical Cryptology (to appear, 2008)
-
(2008)
Journal of Mathematical Cryptology
-
-
Nguyen, P.1
Vidick, T.2
-
29
-
-
0002114928
-
The rise and fall of knapsack cryptosystems. In: Proc. of Cryptology and Computational Number Theory
-
American Mathematical Society
-
Odlyzko, A.M.: The rise and fall of knapsack cryptosystems. In: Proc. of Cryptology and Computational Number Theory. In: Proc. of Symposia in Applied Mathematics, vol. 42, pp. 75-88. American Mathematical Society (1989)
-
(1989)
Proc. of Symposia in Applied Mathematics
, vol.42
, pp. 75-88
-
-
Odlyzko, A.M.1
-
31
-
-
0023532388
-
A hierarchy of polynomial lattice basis reduction algorithms
-
Schnorr, C.P.: A hierarchy of polynomial lattice basis reduction algorithms. Theoretical Computer Science 53, 201-224 (1987)
-
(1987)
Theoretical Computer Science
, vol.53
, pp. 201-224
-
-
Schnorr, C.P.1
-
32
-
-
33846200465
-
Lattice basis reduction: Improved practical algorithms and solving subset sum problems
-
Schnorr, C.P., Euchner, M.: Lattice basis reduction: improved practical algorithms and solving subset sum problems. Mathematics of Programming 66, 181-199 (1994)
-
(1994)
Mathematics of Programming
, vol.66
, pp. 181-199
-
-
Schnorr, C.P.1
Euchner, M.2
-
34
-
-
84919818460
-
Floating-point LLL: Theoretical and practical aspects
-
to appear
-
Stehlé, D.: Floating-point LLL: theoretical and practical aspects. In: Proc. of the LLL+25 conference (to appear)
-
Proc. of the LLL+25 conference
-
-
Stehlé, D.1
|