Strategies in Filtering in the Number Field Sieve (2000)

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by S. Cavallar , Stefania Cavallar
Venue:In preparation
Citations:13 - 2 self

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2 Integer Factoring – Arjen K. Lenstra - 2000
13 An Implementation of the Number Field Sieve – Marije Elkenbracht-Huizing - 1996
1 An Implementation of the Number Field Sieve – R. M. Huizing, Marije Huizing - 1995
23 NFS with Four Large Primes: An Explosive Experiment – Bruce Dodson, Arjen K. Lenstra - 1995
32 Factorization of a 512-bit RSA modulus – S. Cavallar, W. M. Lioen, H. J. J. Te Riele, B. Dodson, A. K. Lenstra, P. L. Montgomery, B. Murphy Et Al - 2000
21 Factorization of a 768-bit RSA modulus – Thorsten Kleinjung, Kazumaro Aoki, Jens Franke, Arjen K. Lenstra, Emmanuel Thomé, Pierrick Gaudry, Peter L. Montgomery, Dag Arne Osvik, Herman Te Riele, Andrey Timofeev, Paul Zimmermann, et al. - 2010
41 Parallel Algorithms for Integer Factorisation – Richard P. Brent
12 A Montgomery-like Square Root for the Number Field Sieve – Phong Nguyen - 1998
17 A kilobit special number field sieve factorization – Kazumaro Aoki, Jens Franke, Thorsten Kleinjung, Arjen K. Lenstra, Dag Arne Osvik - 2007
14 Improvements to the general number field sieve for discrete logarithms in prime fields – Antoine Joux, Reynald Lercier - 2003
factorization – Cyril Bouvier - 2013
selection in the number field sieve – Yang Min A, Meng Qingshu B, Wang Zhangyi B, Li Li A, Zhang Huanguo B
Polynomial Selection for Number Field Sieve in Geometric View – Min Yang, Qingshu Meng, Zhangyi Wang, Lina Wang
Discrete logarithms: The past and the future – Andrew Odlyzko Att, Andrew Odlyzko - 2000
1 Parallel Solution of Sparse Linear Systems Defined over GF(p) – D. Page
1 Computational Methods in Public Key Cryptology – Arjen K. Lenstra - 2002
3 Quadratic orders for NESSIE - Overview and parameter sizes of three public key families – Detlef Hühnlein - 2000
1 The Three-Large-Primes Variant of the Number Field Sieve – S. Cavallar, Stefania Cavallar
13 ECM on Graphics Cards – Daniel J. Bernstein, Tien-ren Chen, Chen-mou Cheng, Tanja Lange, Bo-yin Yang