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Generic Transforms to Acquire CCA-Security for Identity Based Encryption: The Cases of FOpkc
and REACT
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Provable Security
Generic Transforms to Acquire CCA-Security for Identity Based Encryption: The Cases of FO pkc and REACT
Takashi Kitagawa1  , Peng Yang2 , Goichiro Hanaoka1 , Rui Zhang1 , Hajime Watanabe1 , Kanta Matsuura2 and Hideki Imai1
| (1) |
Research Centre for Information Security (RCIS), National Institute of Advanced Industrial Science and Technology (AIST),
Akihabara-Daibiru Room 1102, 1-18-13 Sotokanda, Chiyoda-ku, Tokyo, 101-0021, Japan |
| (2) |
Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo, 153-8505, Japan |
Abstract
Fujisaki-Okamoto (FO pkc) conversion [13] and REACT[17] are widely known to be able to generically convert a weak public key encryption scheme to
a strong encryption scheme. In this paper, we discuss applications of FO pkc conversion and REACT to Identity Based Encryptions (IBE). It has not been formally verified yet that whether these conversions
are generic in the IBE setting.
Our results show that both conversions are effective in the IBE case: plain REACT already achieves a good security reduction
while the plain FOpkc conversion results in bad running time of the simulator. We further propose a simple modification to the plain FOpkc that solves this problem. Finally, we choose some concrete parameters to explain (visually) the effect of how the modified
FOpkc substantially improves reduction cost regarding the plain conversion.
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