Parametrizations for Families of ECM-friendly curves.

Alexandre Gélin,Thorsten Kleinjung,Arjen K. Lenstra

ISSAC '17: Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation（2017）

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摘要

We provide a new family of elliptic curves that results in a one to two percent performance improvement of the elliptic curve integer factorization method. The speedup is confirmed by extensive tests for factors ranging from 15 to 63 bits.

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关键词

Factorization, elliptic curves, ECM

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