Paper 2022/1161 Original: eprint.iacr.org/2022/1161 ↗
Group-based Cryptography in the Quantum Era
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.
Metadata
- Available format(s)
PDF- Category
- Cryptographic protocols
- Publication info
- Preprint.
- History
- 2022-09-06: last updated
- 2022-09-06: published
- Short URL
- https://ia.cr/2022/1161
- License
- https://creativecommons.org/licenses/by-nc/4.0/
BibTeX
@misc{cryptoeprint:2022/1161,
author = {Delaram Kahrobaei and Ramón Flores and Marialaura Noce},
title = {Group-based Cryptography in the Quantum Era},
howpublished = {Cryptology {ePrint} Archive, Paper 2022/1161},
year = {2022},
url = {https://eprint.iacr.org/2022/1161}
}