Welcome to the resource topic for 2010/367
Title:
Starfish on Strike
Authors: Daniel J. Bernstein, Peter Birkner, Tanja Lange
Abstract:This paper improves the price-performance ratio of ECM, the elliptic-curve method of integer factorization. In particular, this paper constructs “a = -1” twisted Edwards curves having Q-torsion group Z/2 x Z/4, Z/8, or Z/6 and having a known non-torsion point; demonstrates that, compared to the curves used in previous ECM implementations, some of the new curves are more effective at finding small primes despite being faster; and precomputes particularly effective curves for several specific sizes of primes.
ePrint: https://eprint.iacr.org/2010/367
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