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NIST made the recent announcement of its Round 3 candidates for future post-quantum cryptography or quantum safe standards. As the world prepares to transition to post-quantum cryptography, it is essential to understand how much analysis has been done on the security of the individual post quantum algorithms and classes of algorithms.

The focus of this note is on the cryptanalytic and mathematical research that adds to building meaningful confidence in the algorithm's security as evidenced in publications. This is not analysis about implementation, performance nor application to protocols.