September 23, 2021

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A survey on NIST PQ signatures. (arXiv:2107.11082v1 [cs.CR])

Shor’s shockingly fast quantum algorithm for solving the period-finding
problem is a threat for the most common public-key primitives, as it can be
efficiently applied to solve both the Integer Factorisation Problem and the
Discrete Logarithm Problem. In other words, many once-secure protocols have to
be replaced by still-secure alternatives. Instead of relying, for example, on
the RSA protocol, the Diffie-Hellman key-exchange or the (Elliptic Curve)
Digital Signature Algorithm, many researchers moved their attention to the
design and analysis of primitives which are yet to be broken by quantum
algorithms. The urgency of the threat imposed by quantum computers led the U.S.
National Institute of Standards and Technology (NIST) to open calls for both
Post-Quantum Public-Keys Exchange Algorithms and Post-Quantum Digital Signature
Algorithms. In this brief survey we focus on the round 3 finalists and
alternate candidates for Digital Signatures: CRYSTALS-DILITHIUM, FALCON,
Rainbow, SPHINCS+, GeMSS, Picnic.