Towards an information-theoretically safe cryptographic protocol

TL;DR

This paper proposes a cryptographic protocol that guarantees zero information leakage to passive adversaries under the assumption of existing group actions, aiming for information-theoretic security.

Contribution

It introduces a novel cryptographic protocol that achieves information-theoretic security assuming the existence of certain group actions.

Findings

Protocol provides zero information to passive adversaries.

Assumes the existence of specific group actions for security.

Lays groundwork for future information-theoretic cryptographic systems.

Abstract

We introduce what --if some kind of group action exists-- is a truly (information theoretically) safe cryptographic communication system: a protocol which provides \emph{zero} information to any passive adversary having full access to the channel.