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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Kummer Strikes Back: New DH Speed Records
verfasst von : Daniel J. Bernstein, Chitchanok Chuengsatiansup, Tanja Lange, Peter Schwabe
Erschienen in: Advances in Cryptology – ASIACRYPT 2014
Verlag: Springer Berlin Heidelberg
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This paper sets new speed records for high-security constant-time variable-base-point Diffie–Hellman software: 305395 Cortex-A8-slow cycles; 273349 Cortex-A8-fast cycles; 88916 Sandy Bridge cycles; 88448 Ivy Bridge cycles; 54389 Haswell cycles. There are no higher speeds in the literature for any of these platforms.
The new speeds rely on a synergy between (1) state-of-the-art formulas for genus-2 hyperelliptic curves and (2) a modern trend towards vectorization in CPUs. The paper introduces several new techniques for efficient vectorization of Kummer-surface computations.