Fast software implementation of binary elliptic curve cryptography

Speeding the Pollard and elliptic curve methods of factorization

Peter L. Montgomery · Mathematics of Computation · 1987 · 1.2K citations

Natural Sciences, Computer Science, Mathematics +16

A fast algorithm for computing multiplicative inverses in GF(2m) using normal bases

Toshiya Itoh, Shigeo Tsujii · Information and Computation · 1988 · 636 citations

Computing, Computer Science, Mathematics +12

Speeding scalar multiplication over binary elliptic curves using the new carry-less multiplication instruction

Jonathan Taverne, Armando Faz-Hernández, Diego F. Aranha et al. · Journal of Cryptographic Engineering · 2011 · 49 citations

Engineering, Computer Engineering, Computer Science +12

Impact of Intelʼs new instruction sets on software implementation of multiplication

Su Chen, Haining Fan · Information Processing Letters · 2012 · 12 citations

Engineering, Computer Engineering, Computer Science +14