Security of homomorphic encryption

We met as a group during the Homomorphic Encryption Standardization Workshop on July 1314, 2017, hosted at Microsoft Research in Redmond. Researchers from around the world represented a number of different communities: government, industry, and academia. There are at least 6 research groups around the world who have made libraries for general-purpose homomorphic encryption available ([SEAL], [HElib], [Palisade], [cuHE], [NFLLib], [HEAAN]) for applications and general-purpose use, and demos were shown of all 6 libraries. All 6 of these general-purpose libraries for homomorphic encryption were based on RLWE-based systems (Ring Learning With Errors), and all libraries implemented one of two encryption schemes (BGV or B/FV) and also displayed common choices for the underlying ring, error distribution, and parameter selection.