Welcome to the resource topic for 2022/1161
Title:
Group-based Cryptography in the Quantum Era
Authors: Delaram Kahrobaei, Ramón Flores, Marialaura Noce
Abstract:In this expository article we present an overview of the current state-of-the-art in post-quantum group-based cryptography. We describe several families of groups that have been proposed as platforms, with special emphasis in polycyclic groups and graph groups, dealing in particular with their algorithmic properties and cryptographic applications. We then, describe some applications of combinatorial algebra in fully homomorphic encryption. In the end we discussing several open problems in this direction.
ePrint: https://eprint.iacr.org/2022/1161
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