International Association for Cryptologic Research (IACR)
Abstract
In this paper, we propose two new spatial encryption (SE) schemes based on existing inner product encryption (IPE) schemes.
Both of our SE schemes are fully secure under simple assumptions and in prime order bilinear groups.
Moreover, one of our SE schemes has constant-size ciphertexts.
Since SE implies hierarchical identity-based encryption (HIBE), we also obtain a fully secure HIBE scheme with constant-size ciphertexts under simple assumptions.
Our second SE scheme is attribute-hiding (or anonymous).
It has sizes of public parameters, secret keys and ciphertexts that are quadratically smaller than the currently known SE scheme with similar properties.
As a side result, we show that negated SE is equivalent to non-zero IPE.
This is somewhat interesting since the latter is known to be a special case of the former
