[Resource Topic] 2016/1092: Parametrizations for Families of ECM-friendly curves

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Title:
Parametrizations for Families of ECM-friendly curves

Authors: Alexandre Gélin, Thorsten Kleinjung, Arjen K. Lenstra

Abstract:

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.

ePrint: https://eprint.iacr.org/2016/1092

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