-
1
-
-
0029719917
-
Generating hard instances of lattice problems
-
Ajtai, M.: Generating hard instances of lattice problems. In: STOC, pp. 99-108 (1996)
-
(1996)
STOC
, pp. 99-108
-
-
Ajtai, M.1
-
3
-
-
0034826416
-
A sieve algorithm for the shortest lattice vector problem
-
Ajtai, M., Kumar, R., Sivakumar, D.: A sieve algorithm for the shortest lattice vector problem. In: STOC, pp. 601-610 (2001)
-
(2001)
STOC
, pp. 601-610
-
-
Ajtai, M.1
Kumar, R.2
Sivakumar, D.3
-
4
-
-
51249173801
-
On Lovász' lattice reduction and the nearest lattice point problem
-
Babai, L.: On Lovász' lattice reduction and the nearest lattice point problem. Combinatorica 6(1), 1-13 (1986)
-
(1986)
Combinatorica
, vol.6
, Issue.1
, pp. 1-13
-
-
Babai, L.1
-
5
-
-
0004489099
-
A relation of primal-dual lattices and the complexity of shortest lattice vector problem
-
Cai, J.Y.: A relation of primal-dual lattices and the complexity of shortest lattice vector problem. Theor. Comput. Sci. 207(1), 105-116 (1998)
-
(1998)
Theor. Comput. Sci
, vol.207
, Issue.1
, pp. 105-116
-
-
Cai, J.Y.1
-
6
-
-
0035181331
-
On the average-case hardness of CVP
-
Cai, J.Y.: On the average-case hardness of CVP. In: FOCS, pp. 308-317 (2001)
-
(2001)
FOCS
, pp. 308-317
-
-
Cai, J.Y.1
-
7
-
-
44449128937
-
Predicting lattice reduction
-
Smart, N.P, ed, EUROCRYPT 2008, Springer, Heidelberg
-
Gama, N., Nguyen, P.Q.: 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.Q.2
-
8
-
-
51849137205
-
-
STOC 2008
-
Gentry, C., Peikert, C., Vaikuntanathan, V.: Trapdoors for hard lattices, and new cryptographic constructions. In: STOC (2008)
-
Trapdoors for hard lattices, and new cryptographic constructions
-
-
Gentry, C.1
Peikert, C.2
Vaikuntanathan, V.3
-
9
-
-
0034205405
-
On the limits of nonapproximability of lattice problems
-
Goldreich, O., Goldwasser, S.: On the limits of nonapproximability of lattice problems. J. Comput. Syst. Sci. 60(3), 540-563 (2000)
-
(2000)
J. Comput. Syst. Sci
, vol.60
, Issue.3
, pp. 540-563
-
-
Goldreich, O.1
Goldwasser, S.2
-
11
-
-
84958598719
-
Eliminating decryption errors in the Ajtai-Dwork cryptosystem
-
Kaliski Jr, B.S, ed, CRYPTO 1997, Springer, Heidelberg
-
Goldreich, O., Goldwasser, S., Halevi, S.: Eliminating decryption errors in the Ajtai-Dwork cryptosystem. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 105-111. Springer, Heidelberg (1997)
-
(1997)
LNCS
, vol.1294
, pp. 105-111
-
-
Goldreich, O.1
Goldwasser, S.2
Halevi, S.3
-
12
-
-
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
-
13
-
-
0032613321
-
Approximating shortest lattice vectors is not harder than approximating closest lattice vectors
-
Goldreich, O., Micciancio, D., Safra, S., Seifert, J.P.: Approximating shortest lattice vectors is not harder than approximating closest lattice vectors. Information Processing Letters 71(2), 55-61 (1999)
-
(1999)
Information Processing Letters
, vol.71
, Issue.2
, pp. 55-61
-
-
Goldreich, O.1
Micciancio, D.2
Safra, S.3
Seifert, J.P.4
-
14
-
-
35448997748
-
Tensor-based hardness of the shortest vector problem to within almost polynomial factors
-
Haviv, I., Regev, O.: Tensor-based hardness of the shortest vector problem to within almost polynomial factors. In: STOC, pp. 469-477 (2007)
-
(2007)
STOC
, pp. 469-477
-
-
Haviv, I.1
Regev, O.2
-
15
-
-
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
-
-
58349122573
-
Concurrently secure identification schemes based on the worst-case hardness of lattice problems
-
Pieprzyk, J, ed, ASIACRYPT 2008, Springer, Heidelberg
-
Kawachi, A., Tanaka, K., Xagawa, K.: Concurrently secure identification schemes based on the worst-case hardness of lattice problems. In: Pieprzyk, J. (ed.) ASIACRYPT 2008. LNCS, vol. 5350, pp. 372-389. Springer, Heidelberg (2008)
-
(2008)
LNCS
, vol.5350
, pp. 372-389
-
-
Kawachi, A.1
Tanaka, K.2
Xagawa, K.3
-
19
-
-
17744386194
-
Hardness of approximating the shortest vector problem in lattices
-
Khot, S.: Hardness of approximating the shortest vector problem in lattices. In: FOCS, pp. 126-135 (2004)
-
(2004)
FOCS
, pp. 126-135
-
-
Khot, S.1
-
20
-
-
35348921036
-
Cryptographic hardness for learning intersections of half-spaces
-
Klivans, A., Sherstov, A.: Cryptographic hardness for learning intersections of half-spaces. In: FOCS, pp. 553-562 (2006)
-
(2006)
FOCS
, pp. 553-562
-
-
Klivans, A.1
Sherstov, A.2
-
21
-
-
0034911202
-
On the unique shortest lattice vector problem
-
Kumar, R., Sivakumar, D.: On the unique shortest lattice vector problem. Theor. Comput. Sci. 255(1-2), 641-648 (2001)
-
(2001)
Theor. Comput. Sci
, vol.255
, Issue.1-2
, pp. 641-648
-
-
Kumar, R.1
Sivakumar, D.2
-
22
-
-
0021936756
-
Solving low density subset sum problems
-
Lagarias, J.C., Odlyzko, A.M.: Solving low density subset sum problems. Journal of the ACM 32, 229-246 (1985)
-
(1985)
Journal of the ACM
, vol.32
, pp. 229-246
-
-
Lagarias, J.C.1
Odlyzko, A.M.2
-
23
-
-
34250244723
-
Factoring polynomials with rational coefficients
-
Lenstra, A.K., Lenstra Jr., H.W., Lovasz, 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
Lovasz, L.3
-
24
-
-
33750038259
-
On bounded distance decoding for general lattices
-
Díaz, J, Jansen, K, Rolim, J.D.P, Zwick, U, eds, APPROX 2006 and RANDOM 2006, Springer, Heidelberg
-
Liu, Y.-K., Lyubashevsky, V., Micciancio, D.: On bounded distance decoding for general lattices. In: Díaz, J., Jansen, K., Rolim, J.D.P., Zwick, U. (eds.) APPROX 2006 and RANDOM 2006. LNCS, vol. 4110, pp. 450-461. Springer, Heidelberg (2006)
-
(2006)
LNCS
, vol.4110
, pp. 450-461
-
-
Liu, Y.-K.1
Lyubashevsky, V.2
Micciancio, D.3
-
25
-
-
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)
-
-
-
-
26
-
-
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)
-
-
-
-
29
-
-
38749097694
-
Worst-case to average-case reductions based on Gaussian measures
-
Micciancio, D., Regev, O.:Worst-case to average-case reductions based on Gaussian measures. SIAM J. on Computing 37(1), 267-302 (2007)
-
(2007)
SIAM J. on Computing
, vol.37
, Issue.1
, pp. 267-302
-
-
Micciancio, D.1
Regev, O.2
-
30
-
-
35248837045
-
Statistical zero-knowledge proofs with efficient provers: Lattice problems and more
-
Boneh, D, ed, CRYPTO 2003, Springer, Heidelberg
-
Micciancio, D., Vadhan, S.: Statistical zero-knowledge proofs with efficient provers: Lattice problems and more. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 282-298. Springer, Heidelberg (2003)
-
(2003)
LNCS
, vol.2729
, pp. 282-298
-
-
Micciancio, D.1
Vadhan, S.2
-
31
-
-
84957089305
-
-
Nguyen, P.Q.: 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.Q.: 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)
-
-
-
-
33
-
-
20444451186
-
New lattice-based cryptographic constructions
-
Regev, O.: New lattice-based cryptographic constructions. J. ACM 51(6), 899-942 (2004)
-
(2004)
J. ACM
, vol.51
, Issue.6
, pp. 899-942
-
-
Regev, O.1
-
34
-
-
3142689917
-
Quantum computation and lattice problems
-
Regev, O.: Quantum computation and lattice problems. SIAM J. Comput. 33(3), 738-760 (2004)
-
(2004)
SIAM J. Comput
, vol.33
, Issue.3
, pp. 738-760
-
-
Regev, O.1
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