Starfish on Strike
نویسندگان
چکیده
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× 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.
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