On the discrete logarithm problem for prime-field elliptic curves

Reducing elliptic curve logarithms to logarithms in a finite field

Alfred Menezes, Takuya Okamoto, Scott A. Vanstone · IEEE Transactions on Information Theory · 1993 · 1K citations

Computing, Computer Science, Mathematics +11

Monte Carlo Methods for Index Computation (mod p)

J. M. Pollard · Mathematics of Computation · 1978 · 363 citations

Computing, Computer Science, Algorithms +12

Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem

Pierrick Gaudry · Journal of Symbolic Computation · 2008 · 127 citations · Full text

Natural Sciences, Mathematics, Combinatorics +9

Recent progress on the elliptic curve discrete logarithm problem

Steven D. Galbraith⋆, Pierrick Gaudry · Designs Codes and Cryptography · 2015 · 116 citations · Full text

Computing, Computer Science, Mathematics +12

On the discrete logarithm problem in elliptic curves

Claus Diem · Compositio Mathematica · 2010 · 90 citations · Full text

Natural Sciences, Computer Science, Mathematics +10