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This is really cool! I know Supersingular Isogeny Diffie-Hellman has a patch to build the cipher suite into OpenSSL [0] like the paper you linked. I know that Microsoft Research also has the best known implementation of SIDH [1]. Do you know of any paper studying the performance of those two?

[0] https://github.com/dconnolly/sidh-for-openssl-patch

[1] https://github.com/Microsoft/PQCrypto-SIDH

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The closest paper I can find comparing performance would be this one (section 3.4 for performance): https://eprint.iacr.org/2016/1017.pdf

Check out the Open Quantum Systems implementation, they've got a suite incorporating a number of quantum resistant algorithms: https://github.com/open-quantum-safe/liboqs

They have the SIDH implementation you mentioned (https://github.com/open-quantum-safe/liboqs/blob/master/docs...), and a test harness for comparing performance.

Really great stuff. Thanks!

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