[Resource Topic] 2024/1621: PAKE Combiners and Efficient Post-Quantum Instantiations

Welcome to the resource topic for 2024/1621

Title:
PAKE Combiners and Efficient Post-Quantum Instantiations

Authors: Julia Hesse, Michael Rosenberg

Abstract:

Much work has been done recently on developing password-authenticated key exchange (PAKE) mechanisms with post-quantum security. However, modern guidance recommends the use of hybrid schemes—schemes which rely on the combined hardness of a post-quantum assumption, e.g., learning with Errors (LWE), and a more traditional assumption, e.g., decisional Diffie-Hellman. To date, there is no known hybrid PAKE construction, let alone a general method for achieving such.

In this paper, we present two efficient PAKE combiners—algorithms that take two PAKEs satisfying mild assumptions, and output a third PAKE with combined security properties—and prove these combiners secure in the Universal Composability (UC) model. Our sequential combiner, instantiated with efficient existing PAKEs such as CPace (built on Diffie-Hellman-type assumptions) and CHIC[ML-KEM] (built on the Module LWE assumption), yields the first known hybrid PAKE.

ePrint: https://eprint.iacr.org/2024/1621

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