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- W2234859991 abstract "Fully homomorphic encryption schemes allow encrypted computations and have many applications including the cloud computing and multi-party computation. In 2009, Gentry constructed the first plausible fully homomorphic encryption scheme based on ideal lattices [1]. He first constructed a somewhat homomorphic encryption scheme which can evaluate some circuits of low degree homomorphically, and squashed it using the sparse subset sum assumption to make lower degree decryption circuit. Then, showed that it is bootstrappable, which means that it is possible to evaluate its own decryption circuit homomorphically. Assuming the circular security, a somewhat homomorphic encryption scheme is transformed into a fully homomorphic encryption which can evaluate arbitrary circuits. This blueprint is used in the follow-up works with many improvements. Mainly, efficiency is improved and new variants are introduced [2–8]. In this talk, I will explain Gentry’s blueprint with a simpler integer variant of van Dijk et al., so called the DGHV scheme [2] which is based on the approximate greatest common divisor problem." @default.
- W2234859991 created "2016-06-24" @default.
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- W2234859991 date "2013-05-01" @default.
- W2234859991 modified "2023-09-23" @default.
- W2234859991 title "INTRODUCTION TO FULLY HOMOMORPHIC ENCRYPTION" @default.
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