The utility of fully homomorphic encryption has been long recognized.

CipherCloud does not claim to use any homomorphic encryption.

It was first introduced in to build a 2-DNF homomorphic encryption scheme.

Such schemes are known as homomorphic encryption schemes.

Homomorphic encryption schemes are malleable by design.

Homomorphic encryption schemes allow that.

Implementation of homomorphic encryption algorithms.

A solution proved more elusive; for more than 30 years, it was unclear whether fully homomorphic encryption was even possible.

Fully homomorphic encryption, a cryptosystem.

The "homomorphic" part of a fully homomorphic encryption scheme can also be described in terms of category theory.

Research is ongoing into the use of homomorphic encryption for making voting systems that are transparent and voter-verifiable without compromising ballot secrecy.

A fully homomorphic encryption scheme is the one which allows one to evaluate circuits over encrypted data without being able to decrypt.

In 2010 Riggio and Sicari presented a practical application of homomorphic encryption to a hybrid wireless sensor/mesh network.

His construction starts from a somewhat homomorphic encryption scheme using ideal lattices that is limited to evaluating low-degree polynomials over encrypted data.

The Homomorphic Encryption Project implements the Paillier cryptosystem along with its homomorphic operations.

In particular, the analog to existential forging is trivial for PK homomorphic encryption, yet the encryption algorithms are considered secure because the threat models differ.

Craig Gentry using lattice-based cryptography showed the first fully homomorphic encryption scheme as announced by IBM on June 25, 2009.

Gennaro et al. defined a verifiable computation scheme for any function F using Yao's Garbled Circuit combined with a fully homomorphic encryption system.

In cryptography, homomorphic secret sharing is a type of secret sharing algorithm in which the secret is encrypted via homomorphic encryption.

Denis Charles, Kamal Jain and Kristin Lauter designed a new homomorphic encryption signature scheme for use with network coding to prevent pollution attacks.

Finally, he shows that any bootstrappable somewhat homomorphic encryption scheme can be converted into a fully homomorphic encryption through a recursive self-embedding.

A cryptosystem which supports both addition and multiplication (thereby preserving the ring structure of the plaintexts) is known as fully homomorphic encryption (FHE) and is far more powerful.

Although it was shown that verifiable computing is possible in theory (using fully homomorphic encryption or via probabilistically checkable proofs), most of the known constructions are very expensive in practice.

As shown by Ostrovsky and Skeith, the schemes by Kushilevitz and Ostrovsky and Lipmaa use similar ideas based on homomorphic encryption.

At the rump session of Eurocrypt 2010, Craig Gentry and Shai Halevi presented a working implementation of fully homomorphic encryption (i.e. the entire bootstrapping procedure) together with performance numbers.