Welcome to the resource topic for 2015/017
Title:
Simple Functional Encryption Schemes for Inner Products
Authors: Michel Abdalla, Florian Bourse, Angelo De Caro, David Pointcheval
Abstract:Functional encryption is a new paradigm that allows users to finely control the amount of information that is revealed by a ciphertext to a given receiver. Recent papers have focused their attention on constructing schemes for general functionalities at expense of efficiency. Our goal, in this paper, is to construct functional encryption schemes for less general functionalities which are still expressive enough for practical scenarios. We propose a functional encryption scheme for the {\em inner-product} functionality, meaning that decrypting an encrypted vector x with a key for a vector y will reveal only <x,y> and nothing else, whose security is based on the DDH assumption. Despite the simplicity of this functionality, it is still useful in many contexts like descriptive statistics. In addition, we generalize our approach and present a generic scheme that can be instantiated, in addition, under the LWE assumption and offers various trade-offs in terms of expressiveness and efficiency.
ePrint: https://eprint.iacr.org/2015/017
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