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Homomorphic encryption is form of encryption which allows mathematical operations to be carried out on an encrypted message, using only the ciphertext. Cryptography.SE may be more suitable for some questions on this topic.

17 votes
Accepted

Homomorphic encryption used for e-voting?

Homomorphic encryption is one of the two main structures for e-voting protocols, but the encryption part is not the whole protocol. What homomorphic encryption does well is tallying. In such a system …
Thomas Pornin's user avatar
7 votes
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Can fully homomorphic encryption be practical?

There is no proof that FHE cannot be implemented efficiently. It is just that, right now, we do not know how to do it. With currently known algorithms (Gentry's algorithm, with a few known optimizatio …
Thomas Pornin's user avatar
9 votes

What's the State of the Art of Homomorphic Encryption?

There are two types of homomorphic encryption. Partially homomorphic encryption is about computing one type of operation over encrypted values. For instance, you know E(m1) and E(m2), and, without kn …
Thomas Pornin's user avatar
10 votes
Accepted

What Partial Homomorphic Encryption implementations exist and how do I leverage them?

El Gamal encryption allows for multiplication. This occurs within the group on which El Gamal runs; hence you are multiplying numbers modulo a given prime, not "plain" integers. If you can multiply yo …
Thomas Pornin's user avatar
13 votes

In what ways does Full or Partial Homomorphic Encryption benefit the cloud?

Homomorphic encryption is about encryption schemes which allow computing with encrypted value without decrypting them. For instance, given E(a) and E(b) (the encryption of a and b), you can compute E( …
Thomas Pornin's user avatar