Cryptographic switching functions for multiplicative watermarking in cyber-physical systems

TL;DR

This paper introduces a new cryptographic switching function based on elliptic curves for multiplicative watermarking in cyber-physical systems, enhancing security and stability with limited information sharing.

Contribution

The paper proposes a novel elliptic curve-based switching function for multiplicative watermarking, enabling secure parameter generation and stability proof.

Findings

The switching function is based on elliptic curve algebraic structures.

The watermarking scheme is proven to be stable.

Limited information sharing is sufficient for parameter definition.

Abstract

In this paper we present a novel switching function for multiplicative watermarking systems. The switching function is based on the algebraic structure of elliptic curves over finite fields. The resulting function allows for both watermarking generator and remover to define appropriate system parameters, sharing only limited information, namely a private key. Given the definition of the switching function, we prove that the resulting watermarking parameters lead to a stable watermarking scheme.