A new quadripartite public-key cryptosystem

The paper introduces a new paradigm for public key cryptography, which is called quadripartite public-key (QPK) based on quaternion presentation. We considered a private key as a unit quaternion which has an arbitrary quadruple of real numbers. The public key has three different components which are constructed using a quaternion rotation matrix (QRM) to generate a secure key, which significantly eliminates the risk of eavesdropping. Furthermore, the quaternion has the capability to provide a meditative encryption system for wireless image or voice transmissions. A computer-based simulation, conducted to scrutinize carefully the capability of QPK to ensure the highest level of security, is reported.