Consider a set of parties who do not trust each other but want to compute some agreed function of their inputs in a secure way. This problem is known as multi-party computation. It has various interesting applications including election over the internet, electric contracts, private and secret database, joint signatures, and others. A number of techniques for the problem have been proposed. Secure protocols for multi-paty computation known so far are mainly based on threshold secret sharing, verifiable secret sharing, zero-knowledge proofs, and error-correcting codes. We survey important and interesting results on secure multi-party computation under the existence of various types of adversaries.