Post-quantum cryptography has known a Cambrian Explosion in the last decade. What started as a very theoretical and mathematical area has now evolved into a sprawling research field, complete with side-channel resistant embedded implementations, large scale deployment tests and standardization... See full abstract

Post-quantum cryptography has known a Cambrian Explosion in the last decade. What started as a very theoretical and mathematical area has now evolved into a sprawling research field, complete with side-channel resistant embedded implementations, large scale deployment tests and standardization efforts. This study systematizes the current state of knowledge on post-quantum cryptography. Compared to existing studies, we adopt a transversal point of view and center our study around three areas: (i) paradigms, (ii) implementation, (iii) deployment. Our point of view allows to cast almost all classical and post-quantum schemes into just a few paradigms. We highlight trends, common methodologies, pitfalls for look for and recurrent challenges.
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