Information-flow types for homomorphic encryptions

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Information-flow types for homomorphic encryptions
We develop a flexible information-flow type system for a range of encryption primitives, precisely reflecting their diverse functional and security features. Our rules enable encryption, blinding, homomorphic computation, and decryption, with selective key re-use for different types of payloads. We show that, under standard cryptographic assumptions, any well-typed probabilistic program using encryptions is secure (that is, computationally non-interferent) against active adversaries, both for confidentiality and integrity. We illustrate our approach using ElGamal and Paillier encryption. We present two applications of cryptographic verification by typing: (1) private search on data streams; and (2) the bootstrapping part of Gentry’s fully homomorphic encryption. We provide a prototype typechecker for our system. Categories and Subject Descriptors K.6.m [Security and Protection]: Security; D.2.0 [Software Engineering]: Protection Mechanisms; F.3.1 [Specifying and Verifying and R...
Cédric Fournet, Jérémy Planul
Added 13 Dec 2011
Updated 13 Dec 2011
Type Journal
Year 2011
Where CCS
Authors Cédric Fournet, Jérémy Planul, Tamara Rezk
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