Kummer for Genus One Over Prime-Order Fields

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

Hyperelliptic cryptosystems

Neal Koblitz · Journal of Cryptology · 1989 · 452 citations · Full text

Five, six, and seven-term Karatsuba-like formulae

Peter L. Montgomery · IEEE Transactions on Computers · 2005 · 216 citations

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Fast genus 2 arithmetic based on Theta functions

Pierrick Gaudry · Journal of Mathematical Cryptology · 2007 · 118 citations · Full text

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Fast prime field elliptic-curve cryptography with 256-bit primes

Shay Gueron, Vlad Krasnov · Journal of Cryptographic Engineering · 2014 · 73 citations

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