# Group-based Cryptography in the Quantum Era

arXiv: https://arxiv.org/abs/2202.05917 · HTML: https://mlsanity.com/paper/2202.05917/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 11 Feb 2022.

## Built on by (most cited first, 1 of 1)

- [Eidolon: A Post-Quantum Signature Scheme Based on k-Colorability in the Age of Graph Neural Networks](https://mlsanity.com/paper/2602.02689/) (2026)

## Abstract (arXiv)

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.