Welcome to the resource topic for 2019/1045
Title:
Predicate Encryption from Bilinear Maps and One-Sided Probabilistic Rank
Authors: Josh Alman, Robin Hui
Abstract: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 $f(x,y) \neq 0$. 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.
ePrint: https://eprint.iacr.org/2019/1045
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