-
1
-
-
0036670969
-
Closest point search in lattices
-
Aug.
-
E. Agrell, T. Eriksson, A. Vardy, and K. Zeger. Closest point search in lattices. IEEE Transactions on Information Theory, 48(8):2201-2214, Aug. 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
-
-
38749147177
-
Generating hard instances of lattice problems
-
Preliminary version in STOC 1996
-
M. Ajtai. Generating hard instances of lattice problems. Complexity of Computations and Proofs, Quaderni di Matematica, 13:1-32, 2004. Preliminary version in STOC 1996.
-
(2004)
Complexity of Computations and Proofs, Quaderni di Matematica
, vol.13
, pp. 1-32
-
-
Ajtai, M.1
-
3
-
-
0030679849
-
A public-key cryptosystem with worst-case/average-case equivalence
-
ACM, May
-
M. Ajtai and C. Dwork. A public-key cryptosystem with worst-case/average-case equivalence. In Proceedings of STOC '97, pages 284-293. ACM, May 1997.
-
(1997)
Proceedings of STOC '97
, pp. 284-293
-
-
Ajtai, M.1
Dwork, C.2
-
4
-
-
0001769755
-
A sieve algorithm for the shortest lattice vector problem
-
ACM, July
-
M. Ajtai, R. Kumar, and D. Sivakumar. A sieve algorithm for the shortest lattice vector problem. In Proceedings of STOC '01, pages 266-275. ACM, July 2001.
-
(2001)
Proceedings of STOC '01
, pp. 266-275
-
-
Ajtai, M.1
Kumar, R.2
Sivakumar, D.3
-
6
-
-
38349062340
-
Positive applications of lattices to cryptography
-
I. Prívara and P. Ruzicka, editors, Mathematical Foundations of Computer Science 1997, Springer, Aug.
-
C. Dwork. Positive applications of lattices to cryptography. In I. Prívara and P. Ruzicka, editors, Mathematical Foundations of Computer Science 1997, volume 1295 of LNCS, pages 44-51. Springer, Aug. 1997.
-
(1997)
LNCS
, vol.1295
, pp. 44-51
-
-
Dwork, C.1
-
7
-
-
57049097675
-
Finding short lattice vectors within mordell's inequality
-
ACM, May
-
N. Gama and P. Q. Nguyen. Finding short lattice vectors within mordell's inequality. In Proceedings of STOC '08, pages 207-216. ACM, May 2008.
-
(2008)
Proceedings of STOC '08
, pp. 207-216
-
-
Gama, N.1
Nguyen, P.Q.2
-
8
-
-
44449128937
-
Predicting lattice reduction
-
Proceedings of EUROCRYPT '08, Springer
-
N. Gama and P. Q. Nguyen. Predicting lattice reduction. In Proceedings of EUROCRYPT '08, volume 4965 of LNCS, pages 31-51. Springer, 2008.
-
(2008)
LNCS
, vol.4965
, pp. 31-51
-
-
Gama, N.1
Nguyen, P.Q.2
-
9
-
-
51849137205
-
Trapdoors for hard lattices and new cryptographic constructions
-
ACM, May
-
C. Gentry, C. Peikert, and V. Vaikuntanathan. Trapdoors for hard lattices and new cryptographic constructions. In Proceedings of STOC '08, pages 197-206. ACM, May 2008.
-
(2008)
Proceedings of STOC '08
, pp. 197-206
-
-
Gentry, C.1
Peikert, C.2
Vaikuntanathan, V.3
-
10
-
-
77955338100
-
Improved Analysis of Kannan's Shortest Lattice Vector Algorithm
-
G. Hanrot and D. Stehlé. Improved Analysis of Kannan's Shortest Lattice Vector Algorithm. In Proceedings of Crypto '07.
-
Proceedings of Crypto '07
-
-
Hanrot, G.1
Stehlé, D.2
-
11
-
-
84947808606
-
NTRU: A ring based public key cryptosystem
-
Proceedings of ANTS-III, Springer, June
-
J. Hoffstein, J. Pipher, and J. H. Silverman. NTRU: a ring based public key cryptosystem. In Proceedings of ANTS-III, volume 1423 of LNCS, pages 267-288. Springer, June 1998.
-
(1998)
LNCS
, vol.1423
, pp. 267-288
-
-
Hoffstein, J.1
Pipher, J.2
Silverman, J.H.3
-
14
-
-
0000351029
-
-
chapter Algorithmic Geometry of numbers, Annual Review Inc., Palo Alto, California
-
R. Kannan. Annual Review of Computer Science, volume 2, chapter Algorithmic Geometry of numbers, pages 231-267. Annual Review Inc., Palo Alto, California, 1987.
-
(1987)
Annual Review of Computer Science
, vol.2
, pp. 231-267
-
-
Kannan, R.1
-
16
-
-
34250244723
-
Factoring polynomials with rational coefficients
-
A. K. Lenstra, H. W. Lenstra, Jr., and L. Lovász. 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
-
17
-
-
38749089099
-
Generalized compact knapsacks, cyclic lattices, and efficient one-way functions
-
Dec. Preliminary version in FOCS 2002
-
D. Micciancio. Generalized compact knapsacks, cyclic lattices, and efficient one-way functions. Computational Complexity, 16(4):365-411, Dec. 2007. Preliminary version in FOCS 2002.
-
(2007)
Computational Complexity
, vol.16
, Issue.4
, pp. 365-411
-
-
Micciancio, D.1
-
18
-
-
0012524599
-
-
Complexity of Lattice Problems: A Cryptographic Perspective, Kluwer Academic Publishers, Boston, Massachusetts, Mar.
-
D. Micciancio and S. Goldwasser. Complexity of Lattice Problems: a cryptographic perspective, volume 671 of The Kluwer International Series in Engineering and Computer Science. Kluwer Academic Publishers, Boston, Massachusetts, Mar. 2002.
-
(2002)
The Kluwer International Series in Engineering and Computer Science
, vol.671
-
-
Micciancio, D.1
Goldwasser, S.2
-
19
-
-
38749097694
-
Worst-case to average-case reductions based on Gaussian measure
-
Preliminary version in FOCS 2004
-
D. Micciancio and O. Regev. Worst-case to average-case reductions based on Gaussian measure. SIAM Journal on Computing, 37(1):267-302, 2007. Preliminary version in FOCS 2004.
-
(2007)
SIAM Journal on Computing
, vol.37
, Issue.1
, pp. 267-302
-
-
Micciancio, D.1
Regev, O.2
-
20
-
-
33846867921
-
The two faces of lattices in cryptology
-
Proceedings of CaLC '01, Springer, Mar.
-
P. Nguyen and J. Stern. The two faces of lattices in cryptology. In Proceedings of CaLC '01, volume 2146 of LNCS, pages 146-180. Springer, Mar. 2001.
-
(2001)
LNCS
, vol.2146
, pp. 146-180
-
-
Nguyen, P.1
Stern, J.2
-
21
-
-
57049145514
-
Sieve algorithms for the shortest vector problem are practical
-
Jul
-
P. Nguyen and T. Vidick. Sieve algorithms for the shortest vector problem are practical. J. of Mathematical Cryptology, 2(2):181-207, Jul 2008.
-
(2008)
J. of Mathematical Cryptology
, vol.2
, Issue.2
, pp. 181-207
-
-
Nguyen, P.1
Vidick, T.2
-
22
-
-
51849152661
-
Lossy trapdoor functions and their applications
-
ACM, May
-
C. Peikert and B. Waters. Lossy trapdoor functions and their applications. In Proceedings of STOC '08, pages 187-196. ACM, May 2008.
-
(2008)
Proceedings of STOC '08
, pp. 187-196
-
-
Peikert, C.1
Waters, B.2
-
23
-
-
0002586419
-
On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications
-
M. Pohst. On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications. ACM SIGSAM Bulletin, 15(1):37-44, 1981.
-
(1981)
ACM SIGSAM Bulletin
, vol.15
, Issue.1
, pp. 37-44
-
-
Pohst, M.1
-
24
-
-
58349108198
-
Rigorous and efficient short lattice vectors enumeration, 2008
-
Springer
-
X. Pujol and D. Stehlé. Rigorous and efficient short lattice vectors enumeration, 2008. In Proceedings of Asiacrypt '08, pages 390-405. Springer, 2008.
-
(2008)
Proceedings of Asiacrypt '08
, pp. 390-405
-
-
Pujol, X.1
Stehlé, D.2
-
25
-
-
20444451186
-
New lattice based cryptographic constructions
-
Preliminary version in STOC 2003
-
O. Regev. New lattice based cryptographic constructions. Journal of the ACM, 51(6):899-942, 2004. Preliminary version in STOC 2003.
-
(2004)
Journal of the ACM
, vol.51
, Issue.6
, pp. 899-942
-
-
Regev, O.1
-
26
-
-
33745571012
-
On lattices, learning with errors, random linear codes, and cryptography
-
ACM, June
-
O. Regev. On lattices, learning with errors, random linear codes, and cryptography. In Proceedings of STOC '05, pages 84-93. ACM, June 2005.
-
(2005)
Proceedings of STOC '05
, pp. 84-93
-
-
Regev, O.1
-
28
-
-
0023532388
-
A hierarchy of polynomial time lattice basis reduction algorithms
-
C.-P. Schnorr. A hierarchy of polynomial time lattice basis reduction algorithms. Theoretical Computer Science, 53(2-3):201-224, 1987.
-
(1987)
Theoretical Computer Science
, vol.53
, Issue.2-3
, pp. 201-224
-
-
Schnorr, C.-P.1
-
29
-
-
33846200465
-
Lattice basis reduction: Improved practical algorithms and solving subset sum problems
-
Aug. Preliminary version in FCT 1991
-
C.-P. Schnorr and M. Euchner. Lattice basis reduction: Improved practical algorithms and solving subset sum problems. Mathematical programming, 66(1-3):181-199, Aug. 1994. Preliminary version in FCT 1991.
-
(1994)
Mathematical Programming
, vol.66
, Issue.1-3
, pp. 181-199
-
-
Schnorr, C.-P.1
Euchner, M.2
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