Functional encryption for randomized functionalities in the private-key setting from minimal assumptions

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Abstract

We present a construction of a private-key functional encryption scheme for any family of randomized functionalities based on any such scheme for deterministic functionalities that is sufficiently expressive. Instantiating our construction with existing schemes for deterministic functionalities, we obtain schemes for any family of randomized functionalities based on a variety of assumptions (including the LWE assumption, simple assumptions on multilinear maps, and even the existence of any one-way function) offering various trade-offs between security and efficiency. Previously, Goyal, Jain, Koppula and Sahai [TCC, 2015] constructed a public-key functional encryption scheme for any family of randomized functionalities based on indistinguishability obfuscation. One of the key insights underlying our work is that, in the privatekey setting, a sufficiently expressive functional encryption scheme may be appropriately utilized for implementing proof techniques that were so far implemented based on obfuscation assumptions (such as the punctured programming technique of Sahai and Waters [STOC, 2014]). We view this as a contribution of independent interest that may be found useful in other settings as well.

Original languageAmerican English
Title of host publicationTheory of Cryptography - 12th Theory of Cryptography Conference, TCC 2015, Proceedings
EditorsYevgeniy Dodis, Jesper Buus Nielsen
PublisherSpringer Verlag
Pages352-377
Number of pages26
ISBN (Electronic)9783662464960
DOIs
StatePublished - 2015
Event12th Theory of Cryptography Conference, TCC 2015 - Warsaw, Poland
Duration: 23 Mar 201525 Mar 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9015
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference12th Theory of Cryptography Conference, TCC 2015
Country/TerritoryPoland
CityWarsaw
Period23/03/1525/03/15

Bibliographical note

Publisher Copyright:
© International Association for Cryptologic Research 2015.

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