Survey on Fully Homomorphic Encryption, Theory, and Applications

Data privacy concerns are increasing significantly in the context of the Internet of Things, cloud services, edge computing, artificial intelligence applications, and other applications enabled by next-generation networks. Homomorphic encryption addresses privacy challenges by enabling multiple operations to be performed on encrypted messages without decryption. This article comprehensively addresses homomorphic encryption from both theoretical and practical perspectives. This article delves into the mathematical foundations required to understand fully homomorphic encryption ( $\textsf {FHE}$ ). It consequently covers design fundamentals and security properties of $\textsf {FHE}$ and describes the main…

• EC
  European Commission

  Awards: 101015956, H2020
• DF
  Deutsche Forschungsgemeinschaft

  Awards: 390696704, EXC2050/1, ID 390696704
• TU
  Technische Universität Dresden

  Award: 390696704
• H2
  Horizon 2020 Framework Programme

  Award: 101015956