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2019 | OriginalPaper | Buchkapitel

Leveraging Linear Decryption: Rate-1 Fully-Homomorphic Encryption and Time-Lock Puzzles

verfasst von : Zvika Brakerski, Nico Döttling, Sanjam Garg, Giulio Malavolta

Erschienen in: Theory of Cryptography

Verlag: Springer International Publishing

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Abstract

We show how to combine a fully-homomorphic encryption scheme with linear decryption and a linearly-homomorphic encryption schemes to obtain constructions with new properties. Specifically, we present the following new results.

(1)

Rate-1 Fully-Homomorphic Encryption: We construct the first scheme with message-to-ciphertext length ratio (i.e., rate) \(1-\sigma \) for \(\sigma = o(1)\). Our scheme is based on the hardness of the Learning with Errors (LWE) problem and \(\sigma \) is proportional to the noise-to-modulus ratio of the assumption. Our building block is a construction of a new high-rate linearly-homomorphic encryption.

One application of this result is the first general-purpose secure function evaluation protocol in the preprocessing model where the communication complexity is within additive factor of the optimal insecure protocol.

(2)

Fully-Homomorphic Time-Lock Puzzles: We construct the first time-lock puzzle where one can evaluate any function over a set of puzzles without solving them, from standard assumptions. Prior work required the existence of sub-exponentially hard indistinguishability obfuscation.

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Titel: Leveraging Linear Decryption: Rate-1 Fully-Homomorphic Encryption and Time-Lock Puzzles
verfasst von: Zvika Brakerski
Nico Döttling
Sanjam Garg
Giulio Malavolta
Verlag: Springer International Publishing
Buch: Theory of Cryptography
Print ISBN: 978-3-030-36032-0

Electronic ISBN: 978-3-030-36033-7

Copyright-Jahr: 2019
DOI: https://doi.org/10.1007/978-3-030-36033-7_16

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