Fully Homomorphic Encryption via Affine Automorphisms

TL;DR

This paper introduces a novel homomorphic encryption scheme based on affine automorphisms and multivariate encryption, leveraging algebraic geometry to enable secure computation on encrypted data.

Contribution

It presents a new homomorphic encryption approach using affine automorphisms and multivariate encryption, expanding cryptographic techniques with algebraic geometry methods.

Findings

Proposes a homomorphic encryption scheme based on affine automorphisms.

Utilizes multivariate encryption for data security.

Potential applications in cybersecurity for secure data processing.

Abstract

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.