On the Computational Complexity of ECDLP for Elliptic Curves in Various Forms Using Index Calculus

2018 ◽  
pp. 245-263 ◽  
Author(s):  
Chen-Mou Cheng ◽  
Kenta Kodera ◽  
Atsuko Miyaji
Keyword(s):  
Computational Complexity ◽  
Elliptic Curves ◽  
Index Calculus

scholarly journals Using Symmetries in the Index Calculus for Elliptic Curves Discrete Logarithm

2013 ◽  
Vol 27 (4) ◽  
pp. 595-635 ◽  
Author(s):  
Jean-Charles Faugère ◽  
Pierrick Gaudry ◽  
Louise Huot ◽  
Guénaël Renault
Keyword(s):  
Elliptic Curves ◽  
Discrete Logarithm ◽  
Index Calculus

scholarly journals Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields

2012 ◽  
pp. 27-44 ◽  
Author(s):  
Jean-Charles Faugère ◽  
Ludovic Perret ◽  
Christophe Petit ◽  
Guénaël Renault
Keyword(s):  
Elliptic Curves ◽  
Binary Fields ◽  
Index Calculus

Elliptic Curves

1997 ◽  
Author(s):  
Henry McKean ◽  
Victor Moll
Keyword(s):  
Elliptic Curves

The Joint Universality for L-Functions of Elliptic Curves

2004 ◽  
Vol 9 (4) ◽  
pp. 331-348
Author(s):  
V. Garbaliauskienė
Keyword(s):  
Elliptic Curves ◽  
Rational Numbers ◽  
Joint Universality ◽  
Universality Theorem ◽  
Joint Universality Theorem

A joint universality theorem in the Voronin sense for L-functions of elliptic curves over the field of rational numbers is proved.

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