PPT-Fully Homomorphic Encryption (FHE)

By Matthew Eilertson Overview FHE origins why we care Background Discussion First Implementation Craig Gentry Somewhat Homomorphic Encryption SWHE Bootstrapping Recent Improvement Craig Gentry Et al. Lyon CNRS ENS de Lyon INRIA UCBL 46 Alle dItalie 69364 Lyon Cedex 07 France damienstehlegmailcom httppersoenslyonfrdamienstehle Centre for Advanced Computing Algorithms and Cryptography Department of Computing Macquarie University NSW 2109 Australi tXi=0g2iandkg(x)k1=maxi=0;:::;tjgij:Forapositivevaluer,wedenetwocorrespondingtypesof\ball"centeredattheorigin:B2;N(r)=(N1Xi=0aixi:N1Xi=0a2ir2);B1;N(r)=(N1Xi=0aixi:rair):Wehavetheusualinclusion 0368-4474-01, . Winter 2011. Lecture 14:. More on vulnerability and exploits,. Fully . homomorphic. encryption. Eran. . Tromer. Slides credit: . Vinod. . Vaikuntanathan. (U. Toronto). More on vulnerability exploitation. . Really. Be Run . Josh Benaloh. Senior Cryptographer. Microsoft Research. Disclaimer. Any opinions presented in this talk are my own and do not necessary represent those of the Microsoft Corporation or any subsidiary or partner thereof.. WHAT, WHY, and HOW. Vinod. . Vaikuntanathan. University of Toronto. A Brief History of Cryptography. Julius . Ceasar. (100-44 BC). In the beginning, there was . symmetric. . encryption.. Message: . Homomorphic. Encryption. Murali. Mani, . UMFlint. Talk given at CIDR, Jan 7, 2013. 1. Scenario. 2. Content-Owner. (Client). Cloud Service Provider (Content Host). (Has lot of resources). Limited resources (cannot host . Homomorphic. Encryption on GPUs. Wei Wang, Yin Hu, . Lianmu. Chen, . Xinming. Huang, . Berk. . Sunar. ECE Dept.,. Worcester Polytechnic Institute. Fully . Homomorphic. Encryption. Introduced by Gentry in 2009. challenge. response. Shai. . Halevi. June 16, 2011. June 16, 2011. 2. Computing on Encrypted Data. Wouldn’t it be nice to be able to…. Encrypt my data in the cloud. While still allowing the cloud to search/sort/edit/… this data on my behalf. Schemes and Parameters. Joppe W. Bos. Microsoft Research. Contains joint work with Kristin . Lauter, . Jake Loftus and Michael Naehrig. Computing on Encrypted Data. Motivation. Outsource data and computation. Craig Gentry. and . Shai. . Halevi. June 3, 2014. Somewhat . Homomorphic. Encryption. Part 1: . Homomorphic. Encryption: Background, Applications, Limitations. Computing on Encrypted Data. Can we delegate the . Schemes and Parameters. Joppe W. Bos. Microsoft Research. Contains joint work with Kristin . Lauter, . Jake Loftus and Michael Naehrig. Computing on Encrypted Data. Motivation. Outsource data and computation. Homomorphic. Encryption. Murali. Mani, . UMFlint. Talk given at CIDR, Jan 7, 2013. 1. Scenario. 2. Content-Owner. (Client). Cloud Service Provider (Content Host). (Has lot of resources). Limited resources (cannot host . Be Run . Josh Benaloh. Senior Cryptographer. Microsoft Research. Disclaimer. Any opinions presented in this talk are my own and do not necessary represent those of the Microsoft Corporation or any subsidiary or partner thereof.. Student: Q.D. MCGAW. Supervisors: . Dr.. Wei Dai and . Dr.. Cong Ling. Second marker: Professor . Athanassios. . Manikas. 20 June 2016. Provide a general purpose C++ API for homomorphic encryption and cloud computing.