Classical Approach is to Perform Computation Using Trusted Third Party

In today's world of advanced technology, sharing private or confidential data over a network is not secure. Cryptography is a technique in information security by which we can protect our private data from unknown persons. In this paper, we focus on ellipstic based curve cryptography-based secure multi-party computation methods. The classic approach to SMC is to use a trusted third party to perform calculations. But when we talk about the actual situation, TTP is difficult to achieve, and it is imperative to eliminate TTP in SMC. Furthermore, existing solutions proposed for SMC use classical full-state encryption schemes such as RSA and Paillier. But such cryptosystems are expensive, so the resulting SMC protocol is not scalable. We propose an ECC-based SMC homomorphic encryption scheme based on performance metrics such as computational cost and communication cost. Among several selected algorithms, we recommend an efficient algorithm that provides security and reduces cost, and can be applied to many applications requiring privacy.