论文标题

通过仿射自动形态的完全同态加密

Fully Homomorphic Encryption via Affine Automorphisms

论文作者

Hriljac, Paul

论文摘要

同态加密是一种用于创建可以与加密数据进行交互的程序中使用的方法,而无需将数据留在清晰的情况下。这在网络安全中具有许多潜在的应用。本文使用仿射空间的自动形态来创建用于直线程序的同态加密形式。用于数据的加密方法称为多元加密。这为基于代数几何技术的技术提供了一种潜在的网络安全性新方法。

Homomorphic encryption is a method used in cryptopgraphy to create programs that can interact with encrypted data without ever leaving the data in the clear. This has many potential applications in cybersecurity. This paper uses automorphisms of affine space to create a form of homomorphic encryption for straight line programs. The encryption method used for the data is known as multivariate encryption. This gives a potentially powerful new method in cyber security based on techniques from algebraic geometry.

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