In attached file public key encryption with keyword search why using two hash functions H1,H2 and what is mean by trapdoor word or key ?

12 December 2014 1 9K Report

i understood that H1 transform word into trapdoor and H2 transform trapdoor into PEKS or what ?

The definitions of hash functions are H1: {0,1}^* -> G_1, H2:G^2->{0,1}^{logp}.

The first hash function is used to map strings into elements in G1, which are points on certain elliptic curves. A keyword is an arbitrary bit string, which cannot be used as an input to the pairing function unless being mapped to an element in G1 by H1.

The second is used in generating the searchable encryption of keywords. Loosely, H2 is used to hide t (in the proof H2 is a random oracle if I remember correctly). The encryption is used later in the equality test to answer search queries.

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