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I quote:

By homomorphic encryption, we mean the family of encryption schemes being able to perform homomorphic operations on ciphertexts, without decrypting them. The first time someone introduced such a notion goes back to 1978, when Rivest, Adleman and Dertouzos [RAD78] described the privacy homomorphisms. An homomorphic encryption scheme, as traditional encryption schemes, has a key generation, an encryption and a decryption algorithm, and it has an additional algorithm called evaluation.

  • Key generation
  • Encryption
  • Decryption
  • Evaluation

How could one explain to someone with zero background on cryptography, what the evaluation step entails ?

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