@book{6a0f61e32e644ef997919d33ab2c567a,
title = "Starfish on strike",
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.",
author = "D.J. Bernstein and P. Birkner and T. Lange",
year = "2010",
language = "English",
series = "Cryptology ePrint Archive",
publisher = "International Association for Cryptologic Research",
}