[Resource Topic] 2020/1165: Practical Isogeny-Based Key-exchange with Optimal Tightness

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Title:
Practical Isogeny-Based Key-exchange with Optimal Tightness

Authors: Bor de Kock, Kristian Gjøsteen, Mattia Veroni

Abstract:

We exploit the Diffie-Hellman-like structure of CSIDH to build a quantum-resistant authenticated key-exchange algorithm. Our security proof has optimal tightness, which means that the protocol is efficient even when instantiated with theoretically-sound security parameters. Compared to previous isogeny-based authenticated key-exchange protocols, our scheme is extremely simple, its security relies only on the underlying CSIDH-problem and it has optimal communication complexity for CSIDH-based protocols. Our security proof relies heavily on the rerandomizability of CSIDH-like problems and carries on in the ROM.

ePrint: https://eprint.iacr.org/2020/1165

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