On the algebraic structure of $E_p^{(m)}$ and applications to cryptography

Karan Khathuria, Giacomo Micheli, Violetta Weger

In this paper we show that the $\mathbb{Z}/p^m\mathbb{Z}$-module structure of the ring $E_p^{(m)}$ is isomorphic to a $\mathbb{Z}/p^m\mathbb{Z}$-submodule of the matrix ring over $…