A secure approach for embedding message text on an elliptic curve defined over prime fields, and building 'EC-RSA-ELGamal' Cryptographic System

TL;DR

This paper introduces a novel probabilistic method for embedding message text on elliptic curves using RSA-based security, leading to the development of a new cryptographic system called 'EC-RSA-ELGamal' that combines elliptic curve and RSA concepts.

Contribution

It proposes a new probabilistic message embedding technique on elliptic curves and integrates it with EC-ELGamal to create a hybrid cryptographic system.

Findings

The approach enables message discovery based on RSA security principles.

The 'EC-RSA-ELGamal' system combines elliptic curve and RSA cryptography.

The method enhances message embedding security on elliptic curves.

Abstract

This paper presents a new probabilistic approach to embedding message text on an elliptic curve, by using the concept of the RSA Algorithm and its security, and such approach allows us discovering the message from the point, only according to the security of the RSA Algorithm. By mixing between the concept of this approach and the concept of EC-ELGamal Cryptographic System, we have built a cryptographic System and we named it 'EC-RSA-ELGamal'