Difference between revisions of "Main Page"
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== Theoretical aspects == | == Theoretical aspects == | ||
| − | As anticipated in the title, the constantly updating content in the pages listed below has an emphasis on the theoretical part of various encryption schemes. We tried to include | + | As anticipated in the title, the constantly updating content in the pages listed below has an emphasis on the theoretical part of various encryption schemes. We tried to include intuitive explanations for some of the technical FHE constructions. |
[[Homomorphic encryption]] Defining and describing homomorphic encryption. | [[Homomorphic encryption]] Defining and describing homomorphic encryption. | ||
Revision as of 14:16, 8 February 2021
This community wiki is curated by members of the Research and Development group at certSIGN. We hope that it will grow with time, as various topics concerning homomorphic encryption are discussed in our research seminars. Our primary goal is create a portal with useful theoretical for the researchers in our group. Additionally, any new members of our group or students that are interested in these topics can get up to speed with the activity of our group.
Theoretical aspects
As anticipated in the title, the constantly updating content in the pages listed below has an emphasis on the theoretical part of various encryption schemes. We tried to include intuitive explanations for some of the technical FHE constructions.
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.
Some FHE 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
