With the rising demands of secure and efficient data transmission in presence of uncertain vulnerabilities residing in large network of Internet-of-Things, the evolution of multiparty-based authentication system is spontaneously increasing. Review of existing research methodology on same direction is carried out to find that there are still wide opportunities of improvement owing to various identified research issues associated with it. Hence, the proposed scheme presents a novel and secure computation scheme for multiparty-based authentication in order to promote higher degree of privacy while retaining ownership of intellectual property. The scheme performs this task by introducing primary and secondary optimization method which is meant for strengthening the encryption system by constructing a robust trapdoor function for secure validation of signature acting as proof of transaction towards non-repudiation. The benchmarked outcome shows that proposed scheme offers better performance in contrast to existing scheme