-
1
-
-
0012527140
-
PRIMES Is in P
-
Technical report, Department of Computer Science and Engineering, Indian Institute of Technology Kanpur, India
-
M. AGRAWAL, N. KAYAL, AND N. SAXENA, PRIMES Is in P, Technical report, Department of Computer Science and Engineering, Indian Institute of Technology Kanpur, India, 2002.
-
(2002)
-
-
AGRAWAL, M.1
KAYAL, N.2
SAXENA, N.3
-
2
-
-
0003359872
-
Handbook of Combinatorics
-
2, Elsevier, Amsterdam
-
N. ALÓN, Tools from higher algebra, in Handbook of Combinatorics, Vol. 1, 2, Elsevier, Amsterdam, 1995, pp. 1749-1783.
-
(1995)
Tools from higher algebra
, vol.1
, pp. 1749-1783
-
-
ALÓN, N.1
-
3
-
-
34848820045
-
-
B. BARAK, G. KINDLER, R. SHALTIEL, B. SUDAKOV, AND A. WIGDERSON, Simulating independence: New constructions of condensers, Ramsey graphs, dispersers, and extractors, in Proceedings of the 46th STOC 05, pp. 1-10, 2005.
-
B. BARAK, G. KINDLER, R. SHALTIEL, B. SUDAKOV, AND A. WIGDERSON, Simulating independence: New constructions of condensers, Ramsey graphs, dispersers, and extractors, in Proceedings of the 46th STOC 05, pp. 1-10, 2005.
-
-
-
-
4
-
-
33748118575
-
2-source dispersers for subpolynomial entropy and Ramsey graphs beating the Frankl- Wilson construction
-
ACM, New York
-
B. BARAK, A. RAO, R. SHALTIEL, AND A. WIGDERSON, 2-source dispersers for subpolynomial entropy and Ramsey graphs beating the Frankl- Wilson construction, in Proceedings of the 38th Annual ACM Symposium on Theory of Computing, ACM, New York, 2006, pp. 671-680.
-
(2006)
Proceedings of the 38th Annual ACM Symposium on Theory of Computing
, pp. 671-680
-
-
BARAK, B.1
RAO, A.2
SHALTIEL, R.3
WIGDERSON, A.4
-
5
-
-
33745861377
-
True random number generators secure in a changing environment
-
Proceedings of the Workshop on Cryptographic Hardware and Embedded Systems CHES, Springer, Berlin
-
B. BARAK, R. SHALTIEL, AND E. TROMER, True random number generators secure in a changing environment, in Proceedings of the Workshop on Cryptographic Hardware and Embedded Systems (CHES), 2003, pp. 166-180. Lecture Notes in Comput. Sci 2779, Springer, Berlin.
-
(2003)
Lecture Notes in Comput. Sci
, vol.2779
, pp. 166-180
-
-
BARAK, B.1
SHALTIEL, R.2
TROMER, E.3
-
6
-
-
0021572569
-
Independent unbiased coin flips from a correlated biased source: A finite state Markov chain
-
IEEE, Los Alamitos, CA
-
M. BLUM, Independent unbiased coin flips from a correlated biased source: A finite state Markov chain, in Proceedings of the 25th Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 1984, pp. 425-433.
-
(1984)
Proceedings of the 25th Annual IEEE Symposium on Foundations of Computer Science
, pp. 425-433
-
-
BLUM, M.1
-
7
-
-
33746365070
-
More on the sum-product phenomenon in prime fields and its applications
-
J. BOURGAIN, More on the sum-product phenomenon in prime fields and its applications, Internat. J. Number Theory, 1 (2005), pp. 1-32.
-
(2005)
Internat. J. Number Theory
, vol.1
, pp. 1-32
-
-
BOURGAIN, J.1
-
9
-
-
2442427378
-
A sum-product estimate in finite fields, and applications
-
J. BOURGAIN, N. KATZ, AND T. TAO, A sum-product estimate in finite fields, and applications, Geom. Funct. Anal., 14 (2004), pp. 27-57.
-
(2004)
Geom. Funct. Anal
, vol.14
, pp. 27-57
-
-
BOURGAIN, J.1
KATZ, N.2
TAO, T.3
-
10
-
-
0022183152
-
Unbiased bits from sources of weak randomness and probabilistic communication complexity
-
IEEE, Los Alamitos, CA
-
B. CHOR AND O. GOLDREICH, Unbiased bits from sources of weak randomness and probabilistic communication complexity, in Proceedings of the 26th Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 1985, pp. 429-442.
-
(1985)
Proceedings of the 26th Annual IEEE Symposium on Foundations of Computer Science
, pp. 429-442
-
-
CHOR, B.1
GOLDREICH, O.2
-
11
-
-
0022198802
-
The bit extraction problem of t-resilient functions (preliminary version)
-
IEEE, Los Alamitos, CA
-
B. CHOR, O. GOLDREICH, J. HASTAD, J. FRIEDMAN, S. RUDICH, AND R. SMOLENSKY, The bit extraction problem of t-resilient functions (preliminary version), in Proceedings of the 26th Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 1985, pp. 396-407.
-
(1985)
Proceedings of the 26th Annual IEEE Symposium on Foundations of Computer Science
, pp. 396-407
-
-
CHOR, B.1
GOLDREICH, O.2
HASTAD, J.3
FRIEDMAN, J.4
RUDICH, S.5
SMOLENSKY, R.6
-
12
-
-
0024766880
-
Dispersers, deterministic amplification, and weak random sources
-
IEEE, Los Alamitos, CA
-
A. COHEN AND A. WIGDERSON, Dispersers, deterministic amplification, and weak random sources, in Proceedings of the 30th Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 1989, pp. 14-19.
-
(1989)
Proceedings of the 30th Annual IEEE Symposium on Foundations of Computer Science
, pp. 14-19
-
-
COHEN, A.1
WIGDERSON, A.2
-
13
-
-
0002854989
-
Deterministic coin tossing and accelerating cascades: Micro and macro techniques for designing parallel algorithms
-
ACM, New York
-
R. COLE AND U. VISHKIN, Deterministic coin tossing and accelerating cascades: Micro and macro techniques for designing parallel algorithms, in Proceedings of the 18th Annual ACM Symposium on Theory of Computing, ACM, New York, 1986, pp. 206-219.
-
(1986)
Proceedings of the 18th Annual ACM Symposium on Theory of Computing
, pp. 206-219
-
-
COLE, R.1
VISHKIN, U.2
-
14
-
-
30744451262
-
On extracting private randomness over a public channel
-
Springer, Berlin
-
Y. DODIS AND R. OLIVEIRA, On extracting private randomness over a public channel, in Approximation, Randomness, and Combinatorial Optimization, Springer, Berlin, 2003, pp. 252-263.
-
(2003)
Approximation, Randomness, and Combinatorial Optimization
, pp. 252-263
-
-
DODIS, Y.1
OLIVEIRA, R.2
-
15
-
-
0036957025
-
On the (non)universality of the one-time pad
-
IEEE, Los Alamitos, CA
-
Y. DODIS AND J. SPENCER, On the (non)universality of the one-time pad, in Proceedings of the 43rd Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 2002, pp. 376-388.
-
(2002)
Proceedings of the 43rd Annual IEEE Symposium on Foundations of Computer Science
, pp. 376-388
-
-
DODIS, Y.1
SPENCER, J.2
-
16
-
-
17744384340
-
-
Master's thesis, Weizmann Institute of Science, Rehovot, Israel
-
A. ELBAZ, Improved Constructions for Extracting Quasi-Random Bits from Sources of Weak Randomness, Master's thesis, Weizmann Institute of Science, Rehovot, Israel, 2003.
-
(2003)
Improved Constructions for Extracting Quasi-Random Bits from Sources of Weak Randomness
-
-
ELBAZ, A.1
-
17
-
-
0001841212
-
On sums and products of integers
-
Birkhäuser, Basel
-
P. ERDOS AND E. SZEMEREDI, On sums and products of integers, in Studies in Pure Mathematics, Birkhäuser, Basel, 1983, pp. 213-218.
-
(1983)
Studies in Pure Mathematics
, pp. 213-218
-
-
ERDOS, P.1
SZEMEREDI, E.2
-
18
-
-
0027540980
-
Implicit O(1) probe search
-
A. FIAT AND M. NAOR, Implicit O(1) probe search, SIAM J. Comput., 22 (1993), pp. 1-10.
-
(1993)
SIAM J. Comput
, vol.22
, pp. 1-10
-
-
FIAT, A.1
NAOR, M.2
-
19
-
-
51249185135
-
Intersection theorems with geometric consequences
-
P. FRANKL AND R. M. WILSON, Intersection theorems with geometric consequences, Combinatorica, 1 (1981), pp. 357-368.
-
(1981)
Combinatorica
, vol.1
, pp. 357-368
-
-
FRANKL, P.1
WILSON, R.M.2
-
20
-
-
33748629383
-
Deterministic extractors for affine sources over large fields
-
IEEE, Los Alamitos, CA
-
A. GABIZON AND R. RAZ, Deterministic extractors for affine sources over large fields, in Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 2005, pp.407-416.
-
(2005)
Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
, pp. 407-416
-
-
GABIZON, A.1
RAZ, R.2
-
21
-
-
0032361262
-
A new proof of Szemerédi's theorem for arithmetic progressions of length four
-
W. T. GOWERS, A new proof of Szemerédi's theorem for arithmetic progressions of length four, Geom. Funct. Anal., 8 (1998), pp. 529-551.
-
(1998)
Geom. Funct. Anal
, vol.8
, pp. 529-551
-
-
GOWERS, W.T.1
-
22
-
-
0003792618
-
-
John Wiley & Sons, New York
-
R. L. GRAHAM, B. L. ROTHSCHILD, AND J. L. SPENCER, Ramsey Theory, John Wiley & Sons, New York, 1980.
-
(1980)
Ramsey Theory
-
-
GRAHAM, R.L.1
ROTHSCHILD, B.L.2
SPENCER, J.L.3
-
23
-
-
0040605344
-
A constructive solution to a tournament problem
-
R. L. GRAHAM AND J. H. SPENCER, A constructive solution to a tournament problem, Canad. Math. Bull., 14 (1971), pp. 45-48.
-
(1971)
Canad. Math. Bull
, vol.14
, pp. 45-48
-
-
GRAHAM, R.L.1
SPENCER, J.H.2
-
24
-
-
0345253860
-
A pseudorandom generator from any one-way function
-
J. HASTAD, R. IMPAGLIAZZO, L. A. LEVIN, AND M. LUBY, A pseudorandom generator from any one-way function, SIAM J. Comput., 28 (1999), pp. 1364-1396.
-
(1999)
SIAM J. Comput
, vol.28
, pp. 1364-1396
-
-
HASTAD, J.1
IMPAGLIAZZO, R.2
LEVIN, L.A.3
LUBY, M.4
-
25
-
-
0344981502
-
Deterministic extractors for bit-fixing sources and exposure-resilient cryptography
-
IEEE, Los Alamitos, CA
-
J. KAMP AND D. ZUCKERMAN, Deterministic extractors for bit-fixing sources and exposure-resilient cryptography, in Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 2003, pp. 92-101.
-
(2003)
Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
, pp. 92-101
-
-
KAMP, J.1
ZUCKERMAN, D.2
-
26
-
-
17744400144
-
A Sum-Product Estimate in Fields of Prime Order
-
S.V. KONYAGIN, A Sum-Product Estimate in Fields of Prime Order, Arxiv technical report, http://arxiv.org/abs/math.NT/0304217 (2003).
-
(2003)
Arxiv technical report
-
-
KONYAGIN, S.V.1
-
27
-
-
0038446831
-
Extractors: Optimal up to constant factors
-
ACM, New York
-
C. J. LU, O. REINGOLD, S. VADHAN, AND A. WIGDERSON, Extractors: Optimal up to constant factors, in Proceedings of the 35th Annual ACM Symposium on Theory of Computing, ACM, New York, 2003, pp. 602-611.
-
(2003)
Proceedings of the 35th Annual ACM Symposium on Theory of Computing
, pp. 602-611
-
-
LU, C.J.1
REINGOLD, O.2
VADHAN, S.3
WIGDERSON, A.4
-
28
-
-
84977114496
-
On the impossibility of private key cryptography with weakly random keys
-
Crypto '90, Springer, Berlin
-
J. L. MCINNES AND B. PINKAS, On the impossibility of private key cryptography with weakly random keys, in Crypto '90, Lecture Notes in Comput. Sci. 537, Springer, Berlin, 1990, pp. 421-436.
-
(1990)
Lecture Notes in Comput. Sci
, vol.537
, pp. 421-436
-
-
MCINNES, J.L.1
PINKAS, B.2
-
29
-
-
23844490169
-
On the complexity of approximating the VC dimension
-
E. MOSSEL AND C. UMANS, On the complexity of approximating the VC dimension, J. Comput. System Sci., 65 (2002), pp. 660-671.
-
(2002)
J. Comput. System Sci
, vol.65
, pp. 660-671
-
-
MOSSEL, E.1
UMANS, C.2
-
30
-
-
0027641832
-
Small-bias probability spaces: Efficient constructions and applications
-
J. NAOR AND M. NAOR, Small-bias probability spaces: Efficient constructions and applications, SIAM J. Comput., 22 (1993), pp. 838-856.
-
(1993)
SIAM J. Comput
, vol.22
, pp. 838-856
-
-
NAOR, J.1
NAOR, M.2
-
32
-
-
0004888588
-
Iterating von Neumann's procedure for extracting random bits
-
Y. PERES, Iterating von Neumann's procedure for extracting random bits, Ann. Statist., 20 (1992), pp. 590-597.
-
(1992)
Ann. Statist
, vol.20
, pp. 590-597
-
-
PERES, Y.1
-
33
-
-
0013479974
-
Eine zahlentheoretische Anwendung der Graphentheorie
-
H. PLÜNNECKE, Eine zahlentheoretische Anwendung der Graphentheorie, J. Reine Angew. Math., 243 (1970), pp. 171-183.
-
(1970)
J. Reine Angew. Math
, vol.243
, pp. 171-183
-
-
PLÜNNECKE, H.1
-
34
-
-
77952052663
-
-
Springer
-
P. PUDLAK, On Explicit Ramsey Graphs and Estimates of the Number of Sums and Products, Topics in Discrete Mathematics, Klazar, Kratochvil, Loebl, Matousek, Thomas, and Valtar, Springer, 2006, pp. 169-175.
-
(2006)
On Explicit Ramsey Graphs and Estimates of the Number of Sums and Products, Topics in Discrete Mathematics, Klazar, Kratochvil, Loebl, Matousek, Thomas, and Valtar
, pp. 169-175
-
-
PUDLAK, P.1
-
35
-
-
34547851283
-
-
P. PUDLAK AND V. RODL, Pseudorandom sets and explicit constructions of Ramsey graphs, Quaderni di Matematica, 13, J. Krajicek, ed., Dipartimanto di Matematica, Seconda Universita di Napoli, Caserta, 2004, pp. 327-346.
-
P. PUDLAK AND V. RODL, Pseudorandom sets and explicit constructions of Ramsey graphs, Quaderni di Matematica, Vol. 13, J. Krajicek, ed., Dipartimanto di Matematica, Seconda Universita di Napoli, Caserta, 2004, pp. 327-346.
-
-
-
-
36
-
-
33748105465
-
Extractors for a constant number of polynomially small min-entropy independent sources
-
ACM, New York
-
A. RAO, Extractors for a constant number of polynomially small min-entropy independent sources, in Proceedings of the 38th Annual ACM Symposium on Theory of Computing, ACM, New York, 2006, pp. 497-506.
-
(2006)
Proceedings of the 38th Annual ACM Symposium on Theory of Computing
, pp. 497-506
-
-
RAO, A.1
-
39
-
-
0013481579
-
An application of graph theory to additive number theory
-
I. RUZSA, An application of graph theory to additive number theory, Sci. Ser. A: Math. Sci., 3 (1989), pp. 97-109.
-
(1989)
Sci. Ser. A: Math. Sci
, vol.3
, pp. 97-109
-
-
RUZSA, I.1
-
40
-
-
0001829451
-
Sums of finite sets
-
New York, Springer, New York, 1996
-
I. RUZSA, Sums of finite sets, in Number Theory (New York, 1991-1995), Springer, New York, 1996, pp. 281-293.
-
(1991)
Number Theory
, pp. 281-293
-
-
RUZSA, I.1
-
41
-
-
0021546972
-
Generating quasi-random sequences from slightly-random sources
-
IEEE, Los Alamitos, CA
-
M. SANTHA AND U. V. VAZIRANI, Generating quasi-random sequences from slightly-random sources, in Proceedings of the 25th Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 1984, pp. 434-440.
-
(1984)
Proceedings of the 25th Annual IEEE Symposium on Foundations of Computer Science
, pp. 434-440
-
-
SANTHA, M.1
VAZIRANI, U.V.2
-
43
-
-
24144476662
-
On a question of Erdos and Moser
-
B. SUDAKOV, E. SZEMEREDI, AND V. H. VU, On a question of Erdos and Moser, Duke Math. J., 129 (2005), pp. 129-155.
-
(2005)
Duke Math. J
, vol.129
, pp. 129-155
-
-
SUDAKOV, B.1
SZEMEREDI, E.2
VU, V.H.3
-
44
-
-
0034505540
-
Extracting randomness from samplable distributions
-
IEEE, Los Alamitos, CA
-
L. TREVISAN AND S. VADHAN, Extracting randomness from samplable distributions, in Proceedings of the 41st Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 2000, pp. 32-42.
-
(2000)
Proceedings of the 41st Annual IEEE Symposium on Foundations of Computer Science
, pp. 32-42
-
-
TREVISAN, L.1
VADHAN, S.2
-
45
-
-
51249175241
-
Strong communication complexity or generating quasirandom sequences from two communicating semirandom sources
-
U. VAZIRANI, Strong communication complexity or generating quasirandom sequences from two communicating semirandom sources, Combinatorica, 7 (1987), pp. 375-392.
-
(1987)
Combinatorica
, vol.7
, pp. 375-392
-
-
VAZIRANI, U.1
-
47
-
-
0003087344
-
Various techniques used in connection with random digits
-
J. VON NEUMANN, Various techniques used in connection with random digits, Appl. Math. Ser. 12 (1951), pp. 36-38.
-
(1951)
Appl. Math. Ser
, vol.12
, pp. 36-38
-
-
VON NEUMANN, J.1
-
48
-
-
0025564929
-
General weak random sources
-
IEEE, Los Alamitos, CA
-
D. ZUCKERMAN, General weak random sources, in Proceedings of the 31st Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 1990, pp. 534-543.
-
(1990)
Proceedings of the 31st Annual IEEE Symposium on Foundations of Computer Science
, pp. 534-543
-
-
ZUCKERMAN, D.1
-
49
-
-
0001023343
-
Simulating BPP using a general weak random source
-
D. ZUCKERMAN, Simulating BPP using a general weak random source, Algorithmica, 16 (1996), pp. 367-391.
-
(1996)
Algorithmica
, vol.16
, pp. 367-391
-
-
ZUCKERMAN, D.1
-
50
-
-
33748109880
-
Linear degree extractors and the inapproximability of max clique and chromatic number
-
ACM, New York
-
D. ZUCKERMAN, Linear degree extractors and the inapproximability of max clique and chromatic number, in Proceedings of the 38th Annual ACM Symposium on Theory of Computing, ACM, New York, 2006, pp. 681-690.
-
(2006)
Proceedings of the 38th Annual ACM Symposium on Theory of Computing
, pp. 681-690
-
-
ZUCKERMAN, D.1
|