Factorization of RSA-140 Using the Number Field Sieve (1999)


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by S. Cavallar , B. Dodson , A. K. Lenstra , P. Leyland , W. M. Lioen , P. L. Montgomery , B. Murphy , H. J. J. Te Riele , P. Zimmermann
Citations:8 - 1 self

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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
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13 Strategies in Filtering in the Number Field Sieve – S. Cavallar, Stefania Cavallar - 2000
14 Improvements to the general number field sieve for discrete logarithms in prime fields – Antoine Joux, Reynald Lercier - 2003
40 Algorithms in algebraic number theory – H. W. Lenstra - 1992
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2 Cyclotomy primality proofs and their certificates. Mathematica Goettingensis – Preda Mihăilescu - 2006
1 Computation of discrete logarithms in F2607 – Emmanuel Thomé
1 The Three-Large-Primes Variant of the Number Field Sieve – S. Cavallar, Stefania Cavallar
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
FUJITSU LABORATORIES Ltd., – Naoyuki Shinohara, Takeshi Shimoyama, Takuya Hayashi, Tsuyoshi Takagi
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19 Index calculus in class groups of non-hyperelliptic curves of genus three, in "Journal of Cryptology", The original publication is available at www.springerlink.com – Claus Diem, Emmanuel Thomé - 2007
4 Breaking pairing-based cryptosystems using ηT pairing over GF (3 97) – Takuya Hayashi, Takeshi Shimoyama, Naoyuki Shinohara, Tsuyoshi Takagi
A New World Record for the Special Number Field Sieve Factoring Method – Peter Montgomery, Stefania Cavallar, Herman Te Riele - 1997
Pseudoprimes: A Survey Of Recent Results – François Morain - 1992
On the primality of F 4723 and F 5387 – François Morain - 1999
Easy numbers for the Elliptic Curve Primality Proving Algorithm – F. Morain - 1992