Universal Composable Password Authenticated Key Exchange for the Post-Quantum World

ePrint Report: Universal Composable Password Authenticated Key Exchange for the Post-Quantum World

You Lyu, Shengli Liu, Shuai Han

In this paper, we construct the first password authenticated key exchange (PAKE) scheme from isogenies with Universal Composable (UC) security in the random oracle model (ROM). We also construct the first two PAKE schemes with UC security in the quantum random oracle model (QROM), one is based on the learning with error (LWE) assumption, and the other is based on the group-action …

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