Abstract:
Consider sources that supply sensitive data to an aggregator.
Standard encryption only hides the data from eavesdroppers, but using
specialized encryption one can hope to hide the data (to the extent pos-
sible) from the aggregator itself. For flexibility and security, we envision
schemes that allow sources to supply encrypted data, such that at any
point a dynamically-chosen subset of sources can allow an agreed-upon
joint function of their data to be computed by the aggregator. A primi-
tive called multi-input functional encryption (MIFE), due to Goldwasser
et al. (EUROCRYPT 2014), comes close, but has two main limitations:
- - It requires trust in a third party, who is able to decrypt all the data
- - It requires function arity to be fixed at setup time and to be equal
to the number of parties
To drop these limitations, we introduce a new notion of ad hoc MIFE.
In our setting, each source generates its own public key and issues in-
dividual, function-specific secret keys to an aggregator. For successful
decryption, an aggregator must obtain a separate key from each source
whose ciphertext is being computed upon. The aggregator could obtain
multiple such secret-keys from a user corresponding to functions of vary-
ing arity. For this primitive, we obtain the following results:
-
– We show that standard MIFE for general functions can be boot-
strapped to ad hoc MIFE for free, i.e. without making any additional
assumption.
- – We provide a direct construction of ad hoc MIFE for the inner prod-
uct functionality based on the Learning with Errors (LWE) assump-
tion. This yields the first construction of this natural primitive based
on a standard assumption.
At a technical level, our results are obtained by combining standard
MIFE schemes and two-round secure multiparty computation (MPC)
protocols in novel ways highlighting an interesting interplay between
MIFE and two-round MPC in the construction of non interactive prim-
itives.
Shweta Agrawal | Michael Clear | Ophir Frieder | Sanjam Garg | Adam O'Neill | Justin
Thaler