Abstract

Homomorphic encryption is a powerful encryption technology that allows computations to be performed directly on encrypted data, without requiring access to a secret key. Since its inception in 2009, the technology has seen a huge number of changes, improving its performance by multiple orders of magnitude compared to the first implementations. Today's cloud computing economies make homomorphic encryption more relevant than ever, as it can be used to build completely private outsourced storage and computation services. In this chapter we discuss many fundamental aspects of homomorphic encryption: schemes and constructions, security, implementations, performance, and applications, specifically emphasizing applications in the biomedical field.

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