RSA and Diffie-Hellman performance [Was: RFR(L): 8069539: RSA acceleration]

Andrew Haley aph at
Wed May 27 17:17:40 UTC 2015

[I'm sorry, I didn't send this to the correct list.  I forgot that
there was a separate security list.]

An update:

I'm still working on this.  Following last week's revelations [1] it
seems to me that a faster implementation of (integer) D-H is even more

I've spent a couple of days tracking down an extremely odd feature
(bug?) in MutableBigInteger which was breaking everything, but I'm
past that now.  I'm trying to produce an intrinsic implementation of
the core modular exponentiation which is as fast as any state-of-the-
art implementation while disrupting the common code as little as
possible; this is not easy.

I hope to have something which is faster on all processors, not just
those for which we have hand-coded assembly-language implementations.

I don't think that my work should be any impediment to Sadya's patch
for squareToLen at
being committed.  It'll still be useful.


[1]  Imperfect Forward Secrecy: How Diffie-Hellman Fails in Practice

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