scholarly journals Elliptic Curve Discrete Logarithms and the Index Calculus

1998 ◽  
pp. 110-125 ◽  
Author(s):  
Joseph H. Silverman ◽  
Joe Suzuki
Keyword(s):  
Elliptic Curve ◽  
Discrete Logarithms ◽  
Index Calculus

scholarly journals Computing elliptic curve discrete logarithms with improved baby-step giant-step algorithm

2017 ◽  
Vol 11 (3) ◽  
pp. 453-469 ◽  
Author(s):  
Steven D. Galbraith ◽  
◽  
Ping Wang ◽  
Fangguo Zhang ◽  
◽  
...  
Keyword(s):  
Elliptic Curve ◽  
Discrete Logarithms ◽  
Giant Step ◽  
Step Algorithm

scholarly journals Symmetrized Summation Polynomials: Using Small Order Torsion Points to Speed Up Elliptic Curve Index Calculus

2014 ◽  
pp. 40-57 ◽  
Author(s):  
Jean-Charles Faugère ◽  
Louise Huot ◽  
Antoine Joux ◽  
Guénaël Renault ◽  
Vanessa Vitse
Keyword(s):  
Elliptic Curve ◽  
Torsion Points ◽  
Index Calculus ◽  
Speed Up ◽  
Curve Index

scholarly journals Quantum Resource Estimates for Computing Elliptic Curve Discrete Logarithms

2017 ◽  
pp. 241-270 ◽  
Author(s):  
Martin Roetteler ◽  
Michael Naehrig ◽  
Krysta M. Svore ◽  
Kristin Lauter
Keyword(s):  
Elliptic Curve ◽  
Discrete Logarithms
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