scholarly journals Extended Tower Number Field Sieve: A New Complexity for the Medium Prime Case

2016 ◽  
pp. 543-571 ◽  
Author(s):  
Taechan Kim ◽  
Razvan Barbulescu
Keyword(s):  
Number Field ◽  
Number Field Sieve ◽  
Prime Case

A Note on the Behaviour of the Number Field Sieve in the Medium Prime Case: Smoothness of Norms

2018 ◽  
Vol 23 (1) ◽  
pp. 138-145
Author(s):  
Naomi Benger ◽  
Manuel Charlemagne ◽  
Kefei Chen
Keyword(s):  
Number Field ◽  
Number Field Sieve ◽  
Prime Case

scholarly journals The Number Field Sieve in the Medium Prime Case

2006 ◽  
pp. 326-344 ◽  
Author(s):  
Antoine Joux ◽  
Reynald Lercier ◽  
Nigel Smart ◽  
Frederik Vercauteren
Keyword(s):  
Number Field ◽  
Number Field Sieve ◽  
Prime Case

scholarly journals A Kilobit Special Number Field Sieve Factorization

2007 ◽  
pp. 1-12 ◽  
Author(s):  
Kazumaro Aoki ◽  
Jens Franke ◽  
Thorsten Kleinjung ◽  
Arjen K. Lenstra ◽  
Dag Arne Osvik
Keyword(s):  
Number Field ◽  
Number Field Sieve ◽  
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scholarly journals The Tower Number Field Sieve

2015 ◽  
pp. 31-55 ◽  
Author(s):  
Razvan Barbulescu ◽  
Pierrick Gaudry ◽  
Thorsten Kleinjung
Keyword(s):  
Number Field ◽  
Number Field Sieve
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