Fully homomorphic encryption scheme on a nonCommutative ring R

摘要

This article is an introduction to a well known problem on the ring $mathbb{F}_{q}[e]$ where $pmb{e}^{3}=pmb{e}^{2}$: Fully homomorphic encryption scheme. In this paper, we introduce a new diagram of encryption based on the conjugate problem on $mathrm{F}_{q}[pmb{e}],(mathbf{ESR}(mathbb{F}_{q}[pmb{e}]))$ · This diagram is generally impossible to decipher because it rests on a new problem very difficult to solve called problem of conjugate on a noncommutative reference; $mathbb{F}_{q}[pmb{e}]$. This encryption scheme is based on two difficult methodes; discrete logarithm problem and conjugal classical problem.