论文标题
量子时代基于群体的密码学
Group-based Cryptography in the Quantum Era
论文作者
论文摘要
在这篇说明性文章中，我们介绍了基于量词后组的加密术中当前最新的概述。我们将一些被提出的群体的家庭描述为平台，在多环组和图形组中特别强调，特别是涉及其算法属性和加密应用。然后，我们描述组合代数在完全同态加密中的一些应用。最后，我们讨论了这个方向上的几个开放问题。
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.
