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I'm not aware of any. However, in our SPHINCS+ code I've added a version of this code (https://github.com/sphincs/sphincsplus/blob/master/sha256-avx2/sha256avx.c) which can hash arbitrary length messages (probably should merge this in here). Using this it should be quite easy to construct SHA256 HMAC processing 8 blocks in parallel.
This is very cool. Do you know of a AVX2 SHA256 HMAC? Every version I find is not HMAC.
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