-
2
-
-
27344461174
-
Lattice problems in NP n coNP
-
Preliminary version in FOCS
-
D. AHARONOV & O. REGEV (2005). Lattice problems in NP n coNP. J. ACM 52(5), 749-765. Preliminary version in FOCS 2004.
-
(2004)
J. ACM
, vol.52
, Issue.5
, pp. 749-765
-
-
AHARONOV, D.1
REGEV, O.2
-
4
-
-
38749147177
-
Generating hard instances of lattice problems
-
Preliminary version in STOC
-
M. AJTAI (2004). Generating hard instances of lattice problems. Quaderni di Matematica 13, 1-32. Preliminary version in STOC 1996.
-
(1996)
Quaderni di Matematica
, vol.13
, pp. 1-32
-
-
AJTAI, M.1
-
5
-
-
0034826416
-
A sieve algorithm for the shortest lattice vector problem
-
Hersonissos, Crete, Greece
-
M. AJTAI, R. KUMAR & D. SIVAKUMAR (2001). A sieve algorithm for the shortest lattice vector problem. In Proceedings of the Thirty-third Annual ACM Symposium on the Theory of Computing, Hersonissos, Crete, Greece, 601-610.
-
(2001)
Proceedings of the Thirty-third Annual ACM Symposium on the Theory of Computing
, pp. 601-610
-
-
AJTAI, M.1
KUMAR, R.2
SIVAKUMAR, D.3
-
6
-
-
0036287568
-
Sampling short lattice vectors and the closest lattice vector problem
-
Montréal, Québec, Canada
-
M. AJTAI, R. KUMAR & D. SIVAKUMAR (2002). Sampling short lattice vectors and the closest lattice vector problem. In Proceedings of the 17th IEEE Conference on Computational Complexity, Montréal, Québec, Canada, 53-57.
-
(2002)
Proceedings of the 17th IEEE Conference on Computational Complexity
, pp. 53-57
-
-
AJTAI, M.1
KUMAR, R.2
SIVAKUMAR, D.3
-
8
-
-
0031119485
-
-
S. ARORA, L. BABAI, J. STERN & Z. SWEEDYK (1997). The hardness of approximate optima in lattices, codes, and systems of linear equations. J. Comput. Syst. Sci. 54(2), 317-331. Preliminary version in FOCS 1993.
-
S. ARORA, L. BABAI, J. STERN & Z. SWEEDYK (1997). The hardness of approximate optima in lattices, codes, and systems of linear equations. J. Comput. Syst. Sci. 54(2), 317-331. Preliminary version in FOCS 1993.
-
-
-
-
9
-
-
51249173801
-
On Lovász' lattice reduction and the nearest lattice point problem
-
L. BABAI (1986). On Lovász' lattice reduction and the nearest lattice point problem. Combinatorica 6(1), 1-13.
-
(1986)
Combinatorica
, vol.6
, Issue.1
, pp. 1-13
-
-
BABAI, L.1
-
10
-
-
0000303291
-
New bounds in some transference theorems in the geometry of numbers
-
W. BANASZCZYK (1993). New bounds in some transference theorems in the geometry of numbers. Mathematische Annalen 296(4), 625-635.
-
(1993)
Mathematische Annalen
, vol.296
, Issue.4
, pp. 625-635
-
-
BANASZCZYK, W.1
-
12
-
-
0026853668
-
On the theory of average case complexity
-
S. BEN-DAVID, B. CHOR, O. GOLDREICH & M. LUBY (1992). On the theory of average case complexity. J. Comput. Syst. Sci. 44(2), 193-219.
-
(1992)
J. Comput. Syst. Sci
, vol.44
, Issue.2
, pp. 193-219
-
-
BEN-DAVID, S.1
CHOR, B.2
GOLDREICH, O.3
LUBY, M.4
-
14
-
-
38149019948
-
Sampling methods for shortest vectors, closest vectors and successive minima
-
Wroclaw, Poland
-
J. BLOMER & S. NAEWE (2007). Sampling methods for shortest vectors, closest vectors and successive minima. In Proceedings of the 34th International Colloquium on Automata, Languages and Programming ICALP 2007, Wroclaw, Poland, 65-77.
-
(2007)
Proceedings of the 34th International Colloquium on Automata, Languages and Programming ICALP 2007
, pp. 65-77
-
-
BLOMER, J.1
NAEWE, S.2
-
15
-
-
0004489099
-
A relation of primal-dual lattices and the complexity of shortest lattice vector problem
-
J.-Y. CAI (1998). A relation of primal-dual lattices and the complexity of shortest lattice vector problem. Theor. Comput. Sci. 207(1), 105-116.
-
(1998)
Theor. Comput. Sci
, vol.207
, Issue.1
, pp. 105-116
-
-
CAI, J.-Y.1
-
17
-
-
0032597114
-
ε) Is NP-Hard under randomized reductions
-
ε) Is NP-Hard under randomized reductions. J. Comput. Syst. Sci. 59(2), 221-239.
-
(1999)
J. Comput. Syst. Sci
, vol.59
, Issue.2
, pp. 221-239
-
-
CAI, J.-Y.1
NERURKAR, A.2
-
18
-
-
0037125666
-
∞ to within almost-polynomial factors is NP-hard
-
Preliminary version in CIAC
-
∞ to within almost-polynomial factors is NP-hard. Theor. Comput. Sci. 285(1), 55-71. Preliminary version in CIAC 2000.
-
(2000)
Theor. Comput. Sci
, vol.285
, Issue.1
, pp. 55-71
-
-
DINUR, I.1
-
19
-
-
0141655066
-
Approximating CVP to within almost-polynomial factors is NP-hard
-
Preliminary version in FOCS
-
I. DINUR, G. KINDLER, R. RAZ & S. SAFRA (2003). Approximating CVP to within almost-polynomial factors is NP-hard. Combinatorica 23(2), 205-243. Preliminary version in FOCS 1998.
-
(1998)
Combinatorica
, vol.23
, Issue.2
, pp. 205-243
-
-
DINUR, I.1
KINDLER, G.2
RAZ, R.3
SAFRA, S.4
-
20
-
-
44649112543
-
-
P. VAN EMDE BOAS (1981). Another NP-complete problem and the complexity of computing short vectors in a lattice. Technical Report 81-04, University of Amsterdam.
-
P. VAN EMDE BOAS (1981). Another NP-complete problem and the complexity of computing short vectors in a lattice. Technical Report 81-04, University of Amsterdam.
-
-
-
-
21
-
-
2942748673
-
The inapproximability of lattice and coding problems with preprocessing
-
Preliminary version in CCC
-
U. FEIGE & D. MICCIANCIO (2004). The inapproximability of lattice and coding problems with preprocessing. J. Comput. Syst. Sci. 69(1), 45-67. Preliminary version in CCC 2002.
-
(2002)
J. Comput. Syst. Sci
, vol.69
, Issue.1
, pp. 45-67
-
-
FEIGE, U.1
MICCIANCIO, D.2
-
23
-
-
0034205405
-
On the limits of nonapproximability of lattice problems
-
Preliminary version in STOC
-
O. GOLDREICH & S. GOLDWASSER (2000). On the limits of nonapproximability of lattice problems. J. Comput. Syst. Sci. 60(3), 540-563. Preliminary version in STOC 1998.
-
(1998)
J. Comput. Syst. Sci
, vol.60
, Issue.3
, pp. 540-563
-
-
GOLDREICH, O.1
GOLDWASSER, S.2
-
24
-
-
0032613321
-
Approximating shortest lattice vectors is not harder than approximating closest lattice vectors
-
O. GOLDREICH, D. MICCIANCIO, S. SAFRA & J.-P. SEIFERT (1999). Approximating shortest lattice vectors is not harder than approximating closest lattice vectors. Inf. Process. Lett. 71(2), 55-61.
-
(1999)
Inf. Process. Lett
, vol.71
, Issue.2
, pp. 55-61
-
-
GOLDREICH, O.1
MICCIANCIO, D.2
SAFRA, S.3
SEIFERT, J.-P.4
-
25
-
-
21244481660
-
The complexity of the covering radius problem
-
Preliminary version in CCC
-
V. GURUSWAMI, D. MICCIANCIO & O. REGEV (2005). The complexity of the covering radius problem. Computational Complexity 14, 90-121. Preliminary version in CCC 2004.
-
(2004)
Computational Complexity
, vol.14
, pp. 90-121
-
-
GURUSWAMI, V.1
MICCIANCIO, D.2
REGEV, O.3
-
28
-
-
27344453570
-
Hardness of approximating the shortest vector problem in lattices
-
Preliminary version in FOCS
-
S. KHOT (2005). Hardness of approximating the shortest vector problem in lattices. J. ACM 52(5), 789-808. Preliminary version in FOCS 2004.
-
(2004)
J. ACM
, vol.52
, Issue.5
, pp. 789-808
-
-
KHOT, S.1
-
29
-
-
34249953865
-
Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice
-
J. C. LACARIAS, H. W. LENSTRA, JR. & C.-P. SCHNORR (1990). Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice. Combinatoriaca 10(4), 333-348.
-
(1990)
Combinatoriaca
, vol.10
, Issue.4
, pp. 333-348
-
-
LACARIAS, J.C.1
LENSTRA JR., H.W.2
SCHNORR, C.-P.3
-
31
-
-
0022663555
-
Average case complete problems
-
L. A. LEVIN (1986). Average case complete problems. SIAM J. Comput. 15(1), 285-286.
-
(1986)
SIAM J. Comput
, vol.15
, Issue.1
, pp. 285-286
-
-
LEVIN, L.A.1
-
32
-
-
33750038259
-
On bounded distance decoding for general lattices
-
Barcelona, Spain
-
Y.-K. LIU, V. LYUBASHEVSKY & D. MICCIANCIO (2006). On bounded distance decoding for general lattices. In Proceedings of the 10th International Workshop on Randomization and Computation, RANDOM 2006, Barcelona, Spain, 450-461.
-
(2006)
Proceedings of the 10th International Workshop on Randomization and Computation, RANDOM 2006
, pp. 450-461
-
-
LIU, Y.-K.1
LYUBASHEVSKY, V.2
MICCIANCIO, D.3
-
33
-
-
33746342484
-
-
V. LYUBASHEVSKY & D. MICCIANCIO (2006). Generalized compact knapsacks are collision resistant. In Proceedings of the 33rd International Colloquium on Automata, Languages and Programming ICALP 2007, Venice, Italy, 144-155. Full version in ECCC Report TR05-142.
-
V. LYUBASHEVSKY & D. MICCIANCIO (2006). Generalized compact knapsacks are collision resistant. In Proceedings of the 33rd International Colloquium on Automata, Languages and Programming ICALP 2007, Venice, Italy, 144-155. Full version in ECCC Report TR05-142.
-
-
-
-
35
-
-
0035707359
-
-
D. MICCIANCIO (2000). The shortest vector in a lattice is hard to approximate to within some constant. SIAM J. Comput. 30(6), 2008-2035. Preliminary version in FOCS 1998.
-
D. MICCIANCIO (2000). The shortest vector in a lattice is hard to approximate to within some constant. SIAM J. Comput. 30(6), 2008-2035. Preliminary version in FOCS 1998.
-
-
-
-
36
-
-
16244401113
-
-
D. MICCIANCIO (2004). Almost perfect lattices, the covering radius problem, and applications to Ajtai's connection factor. SIAM J. Comput. 34(1), 118-169. Preliminary version in STOC 2002.
-
D. MICCIANCIO (2004). Almost perfect lattices, the covering radius problem, and applications to Ajtai's connection factor. SIAM J. Comput. 34(1), 118-169. Preliminary version in STOC 2002.
-
-
-
-
37
-
-
38749089099
-
Generalized compact knapsacks, cyclic lattices, and efficient one-way functions
-
Preliminary version in FOCS
-
D. MICCIANCIO (2007). Generalized compact knapsacks, cyclic lattices, and efficient one-way functions. Computational Complexity 16(4), 365-411. Preliminary version in FOCS 2002.
-
(2002)
Computational Complexity
, vol.16
, Issue.4
, pp. 365-411
-
-
MICCIANCIO, D.1
-
39
-
-
38749097694
-
-
D. MICCIANCIO & O. REGEV (2007). Worst-case to average-case reductions based on Gaussian measures. SIAM J. Comput. 37(1), 267-302. Preliminary version in FOCS 2004.
-
D. MICCIANCIO & O. REGEV (2007). Worst-case to average-case reductions based on Gaussian measures. SIAM J. Comput. 37(1), 267-302. Preliminary version in FOCS 2004.
-
-
-
-
41
-
-
33745559478
-
Efficient collision-resistant hashing from worst-case assumptions on cyclic lattices
-
New York NY, Full version in ECCC TR05-158
-
C. PEIKERT & A. ROSEN (2006). Efficient collision-resistant hashing from worst-case assumptions on cyclic lattices. In Proceedings of the Third Theory of Cryptography Conference, TCC 2006, New York NY, 145-166. Full version in ECCC TR05-158.
-
(2006)
Proceedings of the Third Theory of Cryptography Conference, TCC 2006
, pp. 145-166
-
-
PEIKERT, C.1
ROSEN, A.2
-
42
-
-
35448980349
-
-
C. PEIKERT & A. ROSEN (2007). Lattices that admit logarithmic worst-case to average-case connection factors. In Proceedings of the Thirty-ninth Annual ACM Symposium on the Theory of Computing, San Diego CA, 478-487. Full version in ECCC Report TR06-147.
-
C. PEIKERT & A. ROSEN (2007). Lattices that admit logarithmic worst-case to average-case connection factors. In Proceedings of the Thirty-ninth Annual ACM Symposium on the Theory of Computing, San Diego CA, 478-487. Full version in ECCC Report TR06-147.
-
-
-
-
43
-
-
44649191238
-
A framework for efficient and composable oblivious transfer. Cryptology ePrint Archive
-
Report 2007/348. In submission. Full version available at
-
C. PEIKERT, V. VAIKUNTANATHAN & B. WATERS (2007). A framework for efficient and composable oblivious transfer. Cryptology ePrint Archive, Report 2007/348. In submission. Full version available at http://eprint.iacr.org/2007/348.
-
(2007)
-
-
PEIKERT, C.1
VAIKUNTANATHAN, V.2
WATERS, B.3
-
44
-
-
51849152661
-
Lossy trapdoor functions and their applications
-
Victoria, British Columbia, Canada. To appear. Full version available at
-
C. PEIKERT & B. WATERS (2008). Lossy trapdoor functions and their applications. In Proceedings of the Fourtieth Annual ACM Symposium on the Theory of Computing, Victoria, British Columbia, Canada. To appear. Full version available at http://eprint.iacr.org/2007/279.
-
(2008)
Proceedings of the Fourtieth Annual ACM Symposium on the Theory of Computing
-
-
PEIKERT, C.1
WATERS, B.2
-
45
-
-
4544250860
-
Improved inapproximability of lattice and coding problems with preprocessing
-
Preliminary version in CCC
-
O. REGEV (2004a). Improved inapproximability of lattice and coding problems with preprocessing. IEEE Transactions on Information Theory 50(9), 2031-2037. Preliminary version in CCC 2003.
-
(2003)
IEEE Transactions on Information Theory
, vol.50
, Issue.9
, pp. 2031-2037
-
-
REGEV, O.1
-
46
-
-
20444451186
-
New lattice-based cryptographic constructions
-
Preliminary version in STOC
-
O. REGEV (2004b). New lattice-based cryptographic constructions. J. ACM 51(6), 899-942. Preliminary version in STOC 2003.
-
(2003)
J. ACM
, vol.51
, Issue.6
, pp. 899-942
-
-
REGEV, O.1
-
47
-
-
33745571012
-
On lattices, learning with errors, random linear codes, and cryptography
-
Baltimore MD, Revised version available from author's web page
-
O. REGEV (2005). On lattices, learning with errors, random linear codes, and cryptography. In Proceedings of the Thirty-seventh Annual ACM Symposium on the Theory of Computing, Baltimore MD, 84-93. Revised version available from author's web page.
-
(2005)
Proceedings of the Thirty-seventh Annual ACM Symposium on the Theory of Computing
, pp. 84-93
-
-
REGEV, O.1
-
49
-
-
0023532388
-
A hierarchy of polynomial time lattice basis reduction algorithms
-
C-P. SCHNORR. (1987). A hierarchy of polynomial time lattice basis reduction algorithms. Theor. Comput. Sci. 53, 201-224.
-
(1987)
Theor. Comput. Sci
, vol.53
, pp. 201-224
-
-
SCHNORR, C.-P.1
-
51
-
-
33745559478
-
Efficient collision-resistant hashing from worst-case assumptions on cyclic lattices
-
New York NY, Full version in ECCC TR05-158
-
C. PEIKERT & A. ROSEN (2006). Efficient collision-resistant hashing from worst-case assumptions on cyclic lattices. In Proceedings of the Third Theory of Cryptography Conference, TCC 2006, New York NY, 145-166. Full version in ECCC TR05-158.
-
(2006)
Proceedings of the Third Theory of Cryptography Conference, TCC 2006
, pp. 145-166
-
-
PEIKERT, C.1
ROSEN, A.2
-
52
-
-
35448980349
-
-
C. PEIKERT & A. ROSEN (2007). Lattices that admit logarithmic worst-case to average-case connection factors. In Proceedings of the Thirty-ninth Annual ACM Symposium on the Theory of Computing, San Diego CA, 478-487. Full version in ECCC Report TR06-147.
-
C. PEIKERT & A. ROSEN (2007). Lattices that admit logarithmic worst-case to average-case connection factors. In Proceedings of the Thirty-ninth Annual ACM Symposium on the Theory of Computing, San Diego CA, 478-487. Full version in ECCC Report TR06-147.
-
-
-
-
53
-
-
44649191238
-
A framework for efficient and composable oblivious transfer. Cryptology ePrint Archive
-
Report 2007/348. In submission. Full version available at
-
C. PEIKERT, V. VAIKUNTANATHAN & B. WATERS (2007). A framework for efficient and composable oblivious transfer. Cryptology ePrint Archive, Report 2007/348. In submission. Full version available at http://eprint.iacr.org/2007/348.
-
(2007)
-
-
PEIKERT, C.1
VAIKUNTANATHAN, V.2
WATERS, B.3
-
54
-
-
51849152661
-
Lossy trapdoor functions and their applications
-
Victoria, British Columbia, Canada. To appear. Full version available at
-
C. PEIKERT & B. WATERS (2008). Lossy trapdoor functions and their applications. In Proceedings of the Fourtieth Annual ACM Symposium on the Theory of Computing, Victoria, British Columbia, Canada. To appear. Full version available at http://eprint.iacr.org/2007/279.
-
(2008)
Proceedings of the Fourtieth Annual ACM Symposium on the Theory of Computing
-
-
PEIKERT, C.1
WATERS, B.2
-
55
-
-
4544250860
-
Improved inapproximability of lattice and coding problems with preprocessing
-
Preliminary version in CCC
-
O. REGEV (2004a). Improved inapproximability of lattice and coding problems with preprocessing. IEEE Transactions on Information Theory 50(9), 2031-2037. Preliminary version in CCC 2003.
-
(2003)
IEEE Transactions on Information Theory
, vol.50
, Issue.9
, pp. 2031-2037
-
-
REGEV, O.1
-
56
-
-
20444451186
-
New lattice-based cryptographic constructions
-
Preliminary version in STOC
-
O. REGEV (2004b). New lattice-based cryptographic constructions. J. ACM 51(6), 899-942. Preliminary version in STOC 2003.
-
(2003)
J. ACM
, vol.51
, Issue.6
, pp. 899-942
-
-
REGEV, O.1
-
57
-
-
33745571012
-
On lattices, learning with errors, random linear codes, and cryptography
-
Baltimore MD, Revised version available from author's web page
-
O. REGEV (2005). On lattices, learning with errors, random linear codes, and cryptography. In Proceedings of the Thirty-seventh Annual ACM Symposium on the Theory of Computing, Baltimore MD, 84-93. Revised version available from author's web page.
-
(2005)
Proceedings of the Thirty-seventh Annual ACM Symposium on the Theory of Computing
, pp. 84-93
-
-
REGEV, O.1
-
59
-
-
0023532388
-
A hierarchy of polynomial time lattice basis reduction algorithms
-
C-P. SCHNORR. (1987). A hierarchy of polynomial time lattice basis reduction algorithms. Theor. Comput. Sci. 53, 201-224.
-
(1987)
Theor. Comput. Sci
, vol.53
, pp. 201-224
-
-
SCHNORR, C.-P.1
|