International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Josh Alman

Publications

Year
Venue
Title
2019
TCC
Predicate Encryption from Bilinear Maps and One-Sided Probabilistic Rank
Josh Alman Robin Hui
In predicate encryption for a function f, an authority can create ciphertexts and secret keys which are associated with ‘attributes’. A user with decryption key $$K_y$$ corresponding to attribute y can decrypt a ciphertext $$CT_x$$ corresponding to a message m and attribute x if and only if $$f(x,y)=0$$. Furthermore, the attribute x remains hidden to the user if $$f(x,y) \ne 0$$.We construct predicate encryption from assumptions on bilinear maps for a large class of new functions, including sparse set disjointness, Hamming distance at most k, inner product mod 2, and any function with an efficient Arthur-Merlin communication protocol. Our construction uses a new probabilistic representation of Boolean functions we call ‘one-sided probabilistic rank,’ and combines it with known constructions of inner product encryption in a novel way.

Coauthors

Josh Alman (1)
Robin Hui (1)