Homomorphic encryption and some black box attacks

TL;DR

This paper explores the potential of black box algebra techniques to analyze and attack homomorphic encryption schemes, suggesting a promising interdisciplinary approach for cryptanalysis.

Contribution

It introduces the idea that black box algebra can be applied to cryptanalysis of homomorphic encryption, fostering cross-disciplinary research.

Findings

Black box algebra can be useful in cryptanalysis.

Homomorphic encryption benefits from algebraic analysis.

Interdisciplinary exchange can advance cryptography.

Abstract

This paper is a compressed summary of some principal definitions and concepts in the approach to the black box algebra being developed by the authors. We suggest that black box algebra could be useful in cryptanalysis of homomorphic encryption schemes, and that homomorphic encryption is an area of research where cryptography and black box algebra may benefit from exchange of ideas.