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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Starfish on Strike
verfasst von : Daniel J. Bernstein, Peter Birkner, Tanja Lange
Erschienen in: Progress in Cryptology – LATINCRYPT 2010
Verlag: Springer Berlin Heidelberg
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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.