Title
Functional Encryption Without Obfuscation.
Abstract
Previously known functional encryption (FE) schemes for general circuits relied on indistinguishability obfuscation, which in turn either relies on an exponential number of assumptions (basically, one per circuit), or a polynomial set of assumptions, but with an exponential loss in the security reduction. Additionally most of these schemes are proved in the weaker selective security model, where the adversary is forced to specify its target before seeing the public parameters. For these constructions, full security can be obtained but at the cost of an exponential loss in the security reduction. In this work, we overcome the above limitations and realize an adaptively secure functional encryption scheme without using indistinguishability obfuscation. Specifically the security of our scheme relies only on the polynomial hardness of simple assumptions on composite order multilinear maps. Though we do not currently have secure instantiations for these assumptions, we expect that multilinear maps supporting these assumptions will discovered in the future. Alternatively, follow up results may yield constructions which can be securely instantiated. As a separate technical contribution of independent interest, we show how to add to existing graded encoding schemes a new extension function, that can be thought of as dynamically introducing new encoding levels.
Year
DOI
Venue
2016
10.1007/978-3-662-49099-0_18
Lecture Notes in Computer Science
Field
DocType
Volume
Multiple encryption,Polynomial,Computer science,Plaintext-aware encryption,Functional encryption,Theoretical computer science,Probabilistic encryption,Adversary,Obfuscation,Computer security model
Conference
9563
ISSN
Citations 
PageRank 
0302-9743
33
0.80
References 
Authors
26
4
Name
Order
Citations
PageRank
Sanjam Garg1171069.92
Craig Gentry29520380.03
Shai Halevi37203442.70
Mark Zhandry455234.46