[PDF] Top 20 Practical Functional Encryption for Bilinear Forms

... efficient functional encryption scheme for the class of functionalities that can be expressed via bilinear forms over the ...integers. Bilinear forms are a general class of ... See full document

... a functional encryption scheme can be constructed assuming standard ...a functional encryption scheme for Boolean formulae given a functional encryption scheme for the inner- ... See full document

... secure functional encryption schemes for the inner product functionality which are both efficient and allow for the evaluation of unbounded inner products modulo a prime ...efficient functional ... See full document

... Functional Encryption (FE) [BSW11] is a sophisticated type of encryption that allows to finely control the amount of information that is revealed by a ...expressive forms of FE were ... See full document

... some functional interpretable as a Lagrangian (i.e., a functional that represents the difference between kinetic and po- tential energy in a suitable sense), and how does one construct such a ... See full document

... der bilinear groups, namely, the Decisional Linear assumption and the Decisional Bilinear Diffie-Hellman ...system encryption methodology introduced by Lewko and Waters [13], [16] for proving ... See full document

... We prove security in the selective model under a variant of the decision `-Bilinear Diffie-Hellman Exponent (BDHE) assumption that we call the decision `-Expanded BDHE assumption. The parameter ` of the assumption ... See full document

... identity-based encryption, as a ization of identity-based encryption ...of practical importance that cannot be represented by Boolean formulas, such as multilevel access structures [14, ...of ... See full document

... tional encryption (UFE). It bears resemblance to functional encryption in that encryption is carried out in the public-key setting and the owner of the master secret key can issue tokens for ... See full document

... In this paper, we focus on the D:ct-dom setting because we believe it is the most convenient for real applications. Consider the situation where Alice holds a huge encrypted database in an untrusted server. When she ... See full document

... In concurrent and independent work, Lin [29], and Ananth and Sahai [6] present constructions of private-key functional encryption schemes for degree-D polynomials based on D-linear maps. As a special case ... See full document

... Functional encryption (FE) is a powerful generalization of various types of ...the encryption should be that every user has access to exactly (and only) those functions of the data items for which he ... See full document

... an encryption key (analogous to the public-key setting), and (2) the setting where the adversary does not have access to any encryption keys (analogous to the secret key ... See full document

... obfuscating the function f using an indistinguishability obfuscator [BGI + 01]. We show how to modify this construction to achieve our notion of functional encryption for randomized function- alities by ... See full document

... In the indistinguishability-based setting, we note that our construction from iO has succinct ciphertexts, but the runtime of the encryption and decryption protocols grow with the number of challenge plaintexts. ... See full document

... and bilinear differential forms, and various structural- and representational properties of this class of behaviors were ...‘‘Lagrangian’’ functional depending on a ‘‘generalized position’’ and a ... See full document

... the encryption which allows the adversary to evaluate the function encoded in a key on arbitrary inputs of its choice: hence a security definition cannot insist on indistinguishability between two arbitrary ... See full document

... ‘The Bilinear Search Algorithm’ is a newly introduced one; A modified linear search algorithm that combines some features in linear and binary search algorithms to produce a better performing ...The ... See full document

... Using subgroup-decision assumptions on multilinear graded encodings, we are able to prove various security properties for our scheme, such as the “ciphertext moving” property mentioned above. These properties allow us to ... See full document

... on functional encryption have also considered a simulation based definition [GKP + 13, GGG + 14] for functional ...for functional encryption for general circuits and arbitrary many key ... See full document