Practical fully secure unrestricted inner product functional encryption modulo prime p
Functional encryption (FE) is an advanced cryptographic primitive which allows, for a single encrypted message, to finely control how much information on the encrypted data each receiver can recover. To this end many functional secret keys are derived from a master secret key. Each functional secret key allows, for a ciphertext encrypted under the associated public key, to recover a specific function of the underlying plaintext.
However constructions for general FE are far from practical, or rely on non-standard and ill-understood cryptographic assumptions.
In this talk I will focus on the construction of efficient FE schemes for linear functions (i.e. the inner product functionality), and the framework in which our constructions hold. Such schemes yield many practical applications, and our constructions are the first FE schemes for inner products modulo a prime that are both efficient and recover the result whatever its size I will also describe an instantiation of the framework using class groups of imaginary quadratic fields.