Dear Ian,
> Has anyone done any side channel analysis on phones?
> 
On the constructive side you might want to check out NaCl for ARM (best
with NEON), e.g.
         http://cryptojedi.org/crypto/#neoncrypto
which avoids all software side channel attacks. Not sure how you would
avoid cache attacks in Java.

Cryptographic Research has a demo attacking cell phones running slow
crypto (Java) by electromagnetic radiatiion, see
        http://www.youtube.com/watch?v=4L8rnYhnLt8

Attacking fast (good) implementations is a lot harder but wee're looking 
into it. 

All the best
        Tanja
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