### Attribute-Based Encryption for Circuits

Sergey Gorbunov, Vinod Vaikuntanathan, and Hoeteck Wee

##### Abstract

In an attribute-based encryption (ABE) scheme, a ciphertext is associated with an L-bit public index IND and a message m, and a secret key is associated with a Boolean predicate P. The secret key allows to decrypt the ciphertext and learn m iff P(IND)=1. Moreover, the scheme should be secure against collusions of users, namely, given secret keys for polynomially many predicates, an adversary learns nothing about the message if none of the secret keys can individually decrypt the ciphertext. We present attribute-based encryption schemes for circuits of any arbitrary polynomial size, where the public parameters and the ciphertext grow linearly with the depth of the circuit. Our construction is secure under the standard learning with errors (LWE) assumption. Previous constructions of attribute-based encryption were for Boolean formulas, captured by the complexity class NC1. In the course of our construction, we present a new framework for constructing ABE schemes. As a by-product of our framework, we obtain ABE schemes for polynomial-size branching programs, corresponding to the complexity class LOGSPACE, under quantitatively better assumptions.

Available format(s)
Category
Public-key cryptography
Publication info
Published elsewhere. Full Version of STOC 2013 proceedings
Keywords
Attribute-Based EncryptionLattices
Contact author(s)
sgorbunov @ cs toronto edu
History
Short URL
https://ia.cr/2013/337

CC BY

BibTeX

@misc{cryptoeprint:2013/337,
author = {Sergey Gorbunov and Vinod Vaikuntanathan and Hoeteck Wee},
title = {Attribute-Based Encryption for Circuits},
howpublished = {Cryptology ePrint Archive, Paper 2013/337},
year = {2013},
note = {\url{https://eprint.iacr.org/2013/337}},
url = {https://eprint.iacr.org/2013/337}
}

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