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Date: Thu, 23 Jan 2014 14:10:11 -0500
From: Bill Cox <>
Subject: Initial multiply-compute-hardened Catena-3 benchmark

I've signed in a branch of Catena that replaces the hashing function
with a simple multiply, OR, and ADD.  I also made it hash blocks of
4096 bytes of memory at once rather than 64.  The result runs 13X
faster, filling 1GB of memory in 1.37 seconds on a single thread.

In comparison, NoelKDF hashes 1GB in 0.42 seconds on 1 thread, or 3.2X
faster.  However, there's a TMTO attack against NoelKDF that requires
almost the same runtime, but only uses 0.5GB.  There is no such attack
against Catena-3, IMO.

Taking that into account, Catena-3 takes only about 40% longer to hash
the same memory as an attacker optimized version of NoelKDF.  I'm
leaning towards Catena-3 now, for timing attack resistance, at least
if we have an option for a fast hash in the inner loop.


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