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Theoretical aspects

Homomorphic encryption Defining and describing homomorphic encryption.

FHE Theory and examples

FHE over the Integers. A presentation of the scheme proposed by Dijk, Gentry, Halevi, Vaikuntanathan

Efficient FHE from (Standard) LWE. A presentation of the scheme BV11. The concept of ``key switching" is first introduced there.

BGV. A presentation of the scheme and of the HElib library.

Fully Homomorphic Encryption without Modulus Switching Presentation of the scheme proposed by Brakerski. The BFV scheme is build on ideas presented here.

BFV. A presentation of the scheme and of the SEAL library.

GSW. Homomorphic Encryption from LWE - a presentation of the scheme proposed by Gentry, Sahai and Waters in 2013.

GSW - Bootstrapping. Ideas from the paper "Faster Bootstrapping with Polynomial Error" by Alperin-Sheriff and Peikert. A different version of GSW with tighter error bounds

certSGN Presentation of our symmetric, bounded FHE scheme

FHE Patent Image Morphology @TODO Articol: Operatii morfologice aplicate pe imagini criptate

certBridge @TODO: Description of the bridge.

Libraries

HELib - GitHub page https://github.com/homenc/HElib

SEAL - GitHub page https://github.com/microsoft/SEAL

HEAAN - GitHub page https://github.com/snucrypto/HEAAN

Concrete - GitHub page https://github.com/zama-ai/concrete

certFHE - GitHub page https://github.com/certfhe