# What Is Multi-Party Computation?

Medium

Medium

Multi-Party Computation (MPC) is a cryptographic technique that allows multiple parties to compute a function over their private inputs without revealing their inputs to each other.

Multi-Party Computation (MPC) is a cryptographic technique that allows multiple parties to compute a function over their private inputs without revealing their inputs to each other.

## Multi-Party Computation: An Overview

Multi-Party Computation (MPC) is a powerful cryptographic technique that enables multiple parties to jointly compute a function over their private inputs without revealing their inputs to each other. MPC has a wide range of applications in the field of crypto, blockchain, and finance, such as secure data sharing, privacy-preserving analytics, and secure multi-party transactions.

## What is Multi-Party Computation?

Multi-Party Computation (MPC) is a cryptographic technique that allows multiple parties to compute a function over their private inputs without revealing their inputs to each other. In other words, MPC enables the computation of a joint function f(x1,x2,...,xn) over private inputs x1, x2, ..., xn held by n parties, without revealing any information about the inputs to each other.

MPC is based on the idea of dividing the computation into smaller sub-computations, each of which can be performed by individual parties without revealing their inputs to other parties. The parties then use cryptographic protocols to securely combine the results of the sub-computations to obtain the final output of the joint function.

## History of Multi-Party Computation

The idea of Multi-Party Computation can be traced back to the early 1980s when Andrew Yao proposed the first secure two-party computation protocol. Since then, many researchers have made significant contributions to the development of MPC protocols, resulting in a wide range of MPC techniques and applications.

The first MPC protocol proposed by Yao was based on garbled circuits, a technique that allows the computation of a Boolean function over private inputs. Later, other techniques such as secret sharing, homomorphic encryption, and secure function evaluation were developed to extend the scope of MPC to more general functions.

## Applications of Multi-Party Computation

MPC has a wide range of applications in the field of crypto, blockchain, and finance. Here are some of the most common applications of MPC:

• Secure Data Sharing: MPC enables secure data sharing among multiple parties without revealing any private information. For example, in healthcare, MPC can be used to enable the secure and private sharing of patient data among different hospitals, research institutes, and healthcare providers.

• Privacy-Preserving Analytics: MPC enables privacy-preserving analytics, allowing multiple parties to jointly analyze data without revealing any private information. For example, in finance, MPC can be used to enable secure risk assessment and credit scoring, without revealing any sensitive financial information.

• Secure Multi-Party Transactions: MPC enables secure multi-party transactions, allowing multiple parties to jointly perform a transaction without revealing any sensitive information. For example, in blockchain, MPC can be used to enable secure and private smart contract execution, without revealing any confidential information to the parties involved.

## Challenges of Multi-Party Computation

Although Multi-Party Computation is a powerful technique, it also has several challenges that need to be addressed:

• Scalability: MPC protocols can be computationally intensive, which limits their scalability in large-scale applications. To overcome this challenge, researchers are developing new MPC techniques that are more efficient and scalable, such as parallelized MPC and lightweight MPC.

• Security: MPC protocols rely on cryptographic primitives that can be vulnerable to attacks. To ensure the security of MPC protocols, researchers are continuously developing new cryptographic primitives and protocols that are more secure and resistant to attacks.

• Trust: MPC protocols require a high degree of trust among the parties involved. To ensure the trustworthiness of MPC protocols, researchers are developing new mechanisms and frameworks that enable parties to verify the correctness of the computation and prevent any malicious behavior.

## Future Directions of Multi-Party Computation

Multi-Party Computation is a rapidly developing field with numerous opportunities for future research and application. Here are some of the most promising directions for future developments:

• Privacy-enhanced Machine Learning: Multi-Party Computation can be used to train machine learning models in a distributed manner, ensuring that no single party has access to the entire dataset. This could be particularly useful in industries such as healthcare, where privacy is of paramount importance.

• Decentralized Finance: Multi-Party Computation could be used to enable secure and private transactions and smart contracts in DeFi applications.

• Secure Multi-Party Computation Protocols: Research in developing secure protocols for Multi-Party Computation will be crucial for ensuring that the technology can be used effectively and safely.

• Standardization: Developing industry-wide standards for Multi-Party Computation will help ensure interoperability between different systems and applications.

• Quantum-Safe Multi-Party Computation: Research in this area will be crucial for ensuring that Multi-Party Computation remains a secure and effective tool for data privacy in the future.

In conclusion, Multi-Party Computation is a powerful tool for protecting data privacy in a wide range of applications. While the technology is still in its early stages, it has already been used successfully in numerous real-world applications, from secure auctions to private machine learning. With continued research and development, Multi-Party Computation has the potential to transform the way we think about data privacy and security in the digital age.

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