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In this paper, the authors propose a new IBE scheme which does not lie in the IBE's three frameworks. The main novelty is the way they embed the master key in the private key. They prove this IBE is IND-sID-CPA secure in the standard model based on a related DBDH assumption in the bilinear groups. Based on this new IBE scheme, they propose a new IBPRE scheme which is IND-ID-CCA2 secure, efficient for the proxy and master secret secure. As the future work, it is interesting to find more applications of their IBE and IBPRE.
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