Paper 2019/1045 Original: eprint.iacr.org/2019/1045 ↗
Predicate Encryption from Bilinear Maps and One-Sided Probabilistic Rank
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.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2019-10-29: last updated
- 2019-09-18: published
- Short URL
- https://ia.cr/2019/1045
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2019/1045,
author = {Josh Alman and Robin Hui},
title = {Predicate Encryption from Bilinear Maps and One-Sided Probabilistic Rank},
howpublished = {Cryptology {ePrint} Archive, Paper 2019/1045},
year = {2019},
url = {https://eprint.iacr.org/2019/1045}
}