-
2
-
-
84955575947
-
THE MAGIC WORDS ARE SQUEAMISH OSSIFRAGE
-
In J. Pieprzyk and R. Safavi-Naini, editors, Springer-Verlag, Berlin
-
D. Atkins, M. Graff, A.K. Lenstra, and P.C. Leyland. THE MAGIC WORDS ARE SQUEAMISH OSSIFRAGE. In J. Pieprzyk and R. Safavi-Naini, editors, Advances in Cryptology-Asiacrypt ’94, volume 917 of Lecture Notes in Computer Science, pages 265-277, Springer-Verlag, Berlin, 1995.
-
(1995)
Advances in Cryptology-Asiacrypt ’94, Volume 917 of Lecture Notes in Computer Science
, pp. 265-277
-
-
Atkins, D.1
Graff, M.2
Lenstra, A.K.3
Leyland, P.C.4
-
3
-
-
84949030348
-
-
Springer-Verlag, Berlin, 1992. Report on workshop at Oberwolfach, Germany, July
-
Th. Beth, M. Frisch, and G.J. Simmons, editors. Public-Key Cryptography: State of the Art and Future Directions, volume 578 of Lecture Notes in Computer Science. Springer-Verlag, Berlin, 1992. Report on workshop at Oberwolfach, Germany, July, 1991.
-
(1991)
Public-Key Cryptography: State of the Art and Future Directions, Volume 578 of Lecture Notes in Computer Science
-
-
Beth, T.H.1
Frisch, M.2
Simmons, G.J.3
-
5
-
-
84878646831
-
Some parallel algorithms for integer factorisation
-
Springer-Verlag, Berlin
-
Richard P. Brent. Some parallel algorithms for integer factorisation. Proc. Europar’99 (Toulouse, Sept. 1999), volume 1685 of Lecture Notes in Computer Science, pages 1-22, Springer-Verlag, Berlin, 1999.
-
(1999)
Proc. Europar’99 (Toulouse, Sept. 1999), Volume 1685 of Lecture Notes in Computer Science
, pp. 1-22
-
-
Brent, R.P.1
-
6
-
-
84948960999
-
Factorizations of bn ± 1; b = 2; 3; 5; 6; 7; 10; 11; 12 up to high powers, volume 22 of Contemporary Mathematics
-
second edition
-
J. Brillhart, D.H. Lehmer, J.L. Selfridge, B. Tuckerman, and S.S. Wagstaff, Jr. Factorizations of bn ± 1; b = 2; 3; 5; 6; 7; 10; 11; 12 up to high powers, volume 22 of Contemporary Mathematics. American Mathematical Society, second edition, 1988.
-
(1988)
American Mathematical Society
-
-
Brillhart, J.1
Lehmer, D.H.2
Selfridge, J.L.3
Tuckerman, B.4
Wagstaff, S.S.5
-
8
-
-
22844453978
-
Factorization of RSA-140 using the number field sieve
-
In Lam Kwok Yan, Eiji Okamoto, and Xing Chaoping, editors, Springer-Verlag, Berlin
-
S. Cavallar, B. Dodson, A. Lenstra, P. Leyland, W. Lioen, P. L. Montgomery, B. Murphy, H. te Riele, and P. Zimmermann. Factorization of RSA-140 using the number field sieve. In Lam Kwok Yan, Eiji Okamoto, and Xing Chaoping, editors, Advances in Cryptology-Asiacrypt ’99 (Singapore, November 14-18), volume 1716 of Lecture Notes in Computer Science, pages 195-207, Springer-Verlag, Berlin, 1999.
-
(1999)
Advances in Cryptology-Asiacrypt ’99 (Singapore, November 14-18), Volume 1716 of Lecture Notes in Computer Science
, pp. 195-207
-
-
Cavallar, S.1
Dodson, B.2
Lenstra, A.3
Leyland, P.4
Lioen, W.5
Montgomery, P.L.6
Murphy, B.7
Te Riele, H.8
Zimmermann, P.9
-
9
-
-
84948994993
-
Strategies for filtering in the Number Field Sieve
-
Springer-Verlag, Berlin
-
S. Cavallar. Strategies for filtering in the Number Field Sieve. Preprint, to appear in the Proceedings of ANTS-IV (Algorithmic Number Theory Symposium IV, Leiden, The Netherlands, July 2-7, 2000), Lecture Notes in Computer Science, Springer-Verlag, Berlin, 2000.
-
Preprint, to Appear in the Proceedings of ANTS-IV (Algorithmic Number Theory Symposium IV, Leiden, the Netherlands, July 2-7, 2000), Lecture Notes in Computer Science
, pp. 2000
-
-
Cavallar, S.1
-
11
-
-
84955611255
-
A world wide number field sieve factoring record: On to 512 bits
-
In Kwangjo Kim and Tsutomu Matsumoto, editors, Springer-Verlag, Berlin
-
James Cowie, Bruce Dodson, R.-Marije Elkenbracht-Huizing, Arjen K. Lenstra, Peter L. Montgomery, and Jörg Zayer. A world wide number field sieve factoring record: on to 512 bits. In Kwangjo Kim and Tsutomu Matsumoto, editors, Advances in Cryptology-Asiacrypt ’96, volume 1163 of Lecture Notes in Computer Science, pages 382-394, Springer-Verlag, Berlin, 1996.
-
(1996)
Advances in Cryptology-Asiacrypt ’96, Volume 1163 of Lecture Notes in Computer Science
, pp. 382-394
-
-
Cowie, J.1
Dodson, B.2
Elkenbracht-Huizing, R.-M.3
Lenstra, A.K.4
Montgomery, P.L.5
Zayer, J.6
-
12
-
-
84939376132
-
Status report on factoring (At the Sandia National Laboratories)
-
In T. Beth, N. Cot, and I. Ingemarsson, editors, Springer-Verlag, Berlin
-
J.A. Davis, D.B. Holdridge, and G.J. Simmons. Status report on factoring (at the Sandia National Laboratories). In T. Beth, N. Cot, and I. Ingemarsson, editors, Advances in Cryptology, Eurocrypt ’84, volume 209 of Lecture Notes in Computer Science, pages 183-215, Springer-Verlag, Berlin, 1985.
-
(1985)
Advances in Cryptology, Eurocrypt ’84, Volume 209 of Lecture Notes in Computer Science
, pp. 183-215
-
-
Davis, J.A.1
Holdridge, D.B.2
Simmons, G.J.3
-
13
-
-
84955611491
-
On the factorization of RSA-120
-
In D.R. Stinson, editor, Springer-Verlag, Berlin
-
T. Denny, B. Dodson, A.K. Lenstra, and M.S. Manasse, On the factorization of RSA-120. In D.R. Stinson, editor, Advances in Cryptology-Crypto ’93, volume 773 of Lecture Notes in Computer Science, pages 166-174, Springer-Verlag, Berlin, 1994.
-
(1994)
Advances in Cryptology-Crypto ’93, Volume 773 of Lecture Notes in Computer Science
, pp. 166-174
-
-
Denny, T.1
Dodson, B.2
Lenstra, A.K.3
Manasse, M.S.4
-
14
-
-
84984643648
-
Factoring using SIMD Sieves
-
In Tor Helleseth, editor, Springer-Verlag, Berlin
-
B. Dixon and A.K. Lenstra. Factoring using SIMD Sieves. In Tor Helleseth, editor, Advances in Cryptology, Eurocrypt ’93, volume 765 of Lecture Notes in Computer Science, pages 28-39, Springer-Verlag, Berlin, 1994.
-
(1994)
Advances in Cryptology, Eurocrypt ’93, Volume 765 of Lecture Notes in Computer Science
, pp. 28-39
-
-
Dixon, B.1
Lenstra, A.K.2
-
18
-
-
84957652084
-
Lattice sieving and trial division
-
In Leonard M. Adleman and Ming-Deh Huang, editors, Springer-Verlag, Berlin
-
R. Golliver, A.K. Lenstra, and K.S. McCurley. Lattice sieving and trial division. In Leonard M. Adleman and Ming-Deh Huang, editors, Algorithmic Number Theory, (ANTS-I, Ithaca, NY, USA, May 1994), volume 877 of Lecture Notes in Computer Science, pages 18-27, Springer-Verlag, Berlin, 1994.
-
(1994)
Algorithmic Number Theory, (ANTS-I, Ithaca, NY, USA, May 1994), Volume 877 of Lecture Notes in Computer Science
, pp. 18-27
-
-
Golliver, R.1
Lenstra, A.K.2
McCurley, K.S.3
-
20
-
-
84966243919
-
The factorization of the Ninth Fermat number
-
July
-
A.K. Lenstra, H.W. Lenstra, Jr., M.S. Manasse, and J.M. Pollard. The factorization of the Ninth Fermat number. Mathematics of Computation, 61(203):319-349, July 1993.
-
(1993)
Mathematics of Computation
, vol.61
, Issue.203
, pp. 319-349
-
-
Lenstra, A.K.1
Lenstra, H.W.2
Manasse, M.S.3
Pollard, J.M.4
-
21
-
-
85032873044
-
Factoring by Electronic Mail
-
In J.-J. Quisquater and J. Vandewalle, editors, Springer-Verlag, Berlin
-
A.K. Lenstra and M.S. Manasse. Factoring by Electronic Mail. In J.-J. Quisquater and J. Vandewalle, editors, Advances in Cryptology-Eurocrypt ’89, volume 434 of Lecture Notes in Computer Science, pages 355-371, Springer-Verlag, Berlin, 1990.
-
(1990)
Advances in Cryptology-Eurocrypt ’89, Volume 434 of Lecture Notes in Computer Science
, pp. 355-371
-
-
Lenstra, A.K.1
Manasse, M.S.2
-
22
-
-
85029607976
-
Factoring with two large primes
-
In I.B. Dåmgard, editor, Springer-Verlag, Berlin
-
A.K. Lenstra and M.S. Manasse. Factoring with two large primes. In I.B. Dåmgard, editor, Advances in Cryptology-Eurocrypt ’90, volume 473 of Lecture Notes in Computer Science, pages 72-82, Springer-Verlag, Berlin, 1991.
-
(1991)
Advances in Cryptology-Eurocrypt ’90, Volume 473 of Lecture Notes in Computer Science
, pp. 72-82
-
-
Lenstra, A.K.1
Manasse, M.S.2
-
23
-
-
84957812088
-
Selecting Cryptographic Key Sizes
-
In H. Imai and Y. Zheng, editors, Springer-Verlag, Berlin
-
Arjen K. Lenstra and Eric R. Verheul. Selecting Cryptographic Key Sizes. In H. Imai and Y. Zheng, editors, Public Key Cryptography, volume 1751 of Lecture Notes in Computer Science, pages 446-465, Springer-Verlag, Berlin, 2000.
-
(2000)
Public Key Cryptography, Volume 1751 of Lecture Notes in Computer Science
, pp. 446-465
-
-
Lenstra, A.K.1
Verheul, E.R.2
-
24
-
-
0011469175
-
Montgomery. Square roots of products of algebraic numbers
-
In Walter Gautschi, editor, Proceedings of Symposia in Applied Mathematics, American Mathematical Society
-
Peter L. Montgomery. Square roots of products of algebraic numbers. In Walter Gautschi, editor, Mathematics of Computation 1943-1993: a Half-Century of Computational Mathematics, pages 567-571. Proceedings of Symposia in Applied Mathematics, American Mathematical Society, 1994.
-
(1994)
Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics
, pp. 567-571
-
-
Peter, L.1
-
25
-
-
84957682846
-
Montgomery. A block Lanczos algorithm for finding dependencies over GF(2)
-
In Louis C. Guillou and Jean-Jacques Quisquater, editors, Springer-Verlag, Berlin
-
Peter L. Montgomery. A block Lanczos algorithm for finding dependencies over GF(2). In Louis C. Guillou and Jean-Jacques Quisquater, editors, Advances in Cryptology-Eurocrypt ’95, volume 921 of Lecture Notes in Computer Science, pages 106-120, Springer-Verlag, Berlin, 1995.
-
(1995)
Advances in Cryptology-Eurocrypt ’95, Volume 921 of Lecture Notes in Computer Science
, pp. 106-120
-
-
Peter, L.1
-
26
-
-
84949030349
-
Improved Polynomial Selection for the Number Field Sieve
-
June 13-17, The Fields Institute, Toronto, Ontario, Canada
-
Peter L. Montgomery and Brian Murphy. Improved Polynomial Selection for the Number Field Sieve. Extended Abstract for the Conference on the Mathematics of Public-Key Cryptography, June 13-17, 1999, The Fields Institute, Toronto, Ontario, Canada.
-
(1999)
Extended Abstract for the Conference on the Mathematics of Public-Key Cryptography
-
-
Montgomery, P.L.1
Murphy, B.2
-
28
-
-
84966219731
-
A method of factoring and the factorization of F7
-
Michael A. Morrison and John Brillhart. A method of factoring and the factorization of F7. Mathematics of Computation, 29:183-205, January 1975.
-
(1975)
Mathematics of Computation
, vol.29
, pp. 183-205
-
-
Morrison, M.A.1
Brillhart, J.2
-
29
-
-
84947733377
-
Modelling the Yield of Number Field Sieve Polynomials
-
J. Buhler, editor, Springer-Verlag, Berlin
-
B. Murphy. Modelling the Yield of Number Field Sieve Polynomials. J. Buhler, editor, Algorithmic Number Theory, (Third International Symposium, ANTS-III, Portland, Oregon, USA, June 1998), volume 1423 of Lecture Notes in Computer Science, pages 137-151, Springer-Verlag, Berlin, 1998.
-
(1998)
Algorithmic Number Theory, (Third International Symposium, ANTS-III, Portland, Oregon, USA, June 1998), Volume 1423 of Lecture Notes in Computer Science
, pp. 137-151
-
-
Murphy, B.1
-
32
-
-
0024731663
-
Factoring with the quadratic sieve on large vector computers
-
Herman te Riele, Walter Lioen, and Dik Winter. Factoring with the quadratic sieve on large vector computers. J. Comp. Appl. Math., 27:267-278, 1989.
-
(1989)
J. Comp. Appl. Math.
, vol.27
, pp. 267-278
-
-
Riele, H.T.1
Lioen, W.2
Winter, D.3
-
33
-
-
0017930809
-
A method for obtaining digital signatures and public-key cryptosystems
-
R.L. Rivest, A. Shamir, and L. Adleman. A method for obtaining digital signatures and public-key cryptosystems. Comm. ACM, 21:120-126, 1978.
-
(1978)
Comm. ACM
, vol.21
, pp. 120-126
-
-
Rivest, R.L.1
Shamir, A.2
Adleman, L.3
-
35
-
-
84949482655
-
Factoring large numbers with the TWINKLE device
-
In C.K. Koc and C. Paar, editors, Springer-Verlag, Berlin
-
A. Shamir. Factoring large numbers with the TWINKLE device. In C.K. Koc and C. Paar, editors, Cryptographic Hardware and Embedded Systems (CHES), volume 1717 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, 1999.
-
(1999)
Cryptographic Hardware and Embedded Systems (CHES), Volume 1717 of Lecture Notes in Computer Science
-
-
Shamir, A.1
-
36
-
-
84968510096
-
Silverman. The multiple polynomial quadratic sieve
-
Robert D. Silverman. The multiple polynomial quadratic sieve. Mathematics of Computation, 48:329-339, 1987.
-
(1987)
Mathematics of Computation
, vol.48
, pp. 329-339
-
-
Robert, D.1
-
38
-
-
84949030352
-
-
URL: http://www.bxa.doc.gov/Encryption/Default.htm.
-
-
-
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