Functional Encryption (FE) expands traditional public-key encryption in two
different ways: it supports fine-grained access control and it allows to learn
a function of the encrypted data. In this paper, we review all FE classes,
describing their functionalities and main characteristics. In particular, for
each class we mention several schemes, providing their security assumptions and
comparing their properties. To our knowledge, this is the first survey that
encompasses the entire FE family.

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