fyi/fwiw: Buried in the abstract for http://eprint.iacr.org/2017/566 is this:

"A side product of our implementation effort is a new optimized circuit for SHA256 with less than a quarter than the number of AND gates of the best previously publicly available one. Our new SHA256 circuit may be of independent use for circuit-based MPC and FHE protocols that require SHA256 circuits."

[ i take MPC and FHE to be "multi-party computation" and "Fully homomorphic encryption", fwiw ]

hth,

=JeffH
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