Homomorphism is the core of fully homomorphic encryption technology, which allows complex calculations and operations on data in an encrypted state, providing a powerful solution for data security and privacy protection. Homomorphism is a mathematical concept, specifically referring to the mapping between two sets (usually the same set) in an algebraic structure, which maintains the structure of the operation. In fully homomorphic encryption (FHE), homomorphism is one of its core features, which allows complex calculations to be performed in an encrypted state without decrypting the data. In fully homomorphic encryption, two main types of homomorphism are usually involved: additive homomorphism and multiplicative homomorphism. Let’s give a definition of fully homomorphic encryption. Fully homomorphic encryption (FHE) is a special encryption technology that allows arbitrary calculations to be performed in an encrypted state, and the results obtained can be decrypted to be exactly the same as the calculation results of unencrypted data. This feature allows complex calculations and data processing to be performed while keeping the data encrypted without decrypting the data. Basic principle: The basic concept of FHE is achieved through a series of mathematical operations, including addition and multiplication operations. FHE's encryption algorithm allows encrypted data to be added and multiplied within the encryption domain without decryption to obtain the final result. FHE schemes are usually based on public key cryptography, using public keys for encryption and private keys for decryption, while ensuring the confidentiality and integrity of calculations. The current application scenarios of FHE are mainly: Secure computing outsourcing: allowing data to be sent to cloud service providers without decryption so that calculations can be performed in an encrypted state. Privacy-preserving data analysis: allowing data owners to analyze and process data while keeping the data encrypted, such as medical data analysis, financial data analysis, etc. So why can't it be used on a large scale at present?
Computational efficiency: The encryption and decryption process of FHE is usually time-consuming, especially for complex cryptographic operations.
Key management: Securely managing public and private keys is critical to the implementation of FHE, and issues such as key generation, distribution, and update need to be considered.
Security assurance: Although FHE provides strong cryptographic capabilities, the security and vulnerabilities of the implementation need to be carefully considered in practical applications. #美国5月核心PCE物价指数年率增幅创2021年3月以来新低 #Mt.Gox将启动偿还计划 #VanEck提交首个SolanaETF $BTC
