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Reversible Data Hiding Algorithm in Fully Homomorphic Encrypted Domain

College of Information Science and Technology, Jinan University, Guangzhou 510632, China
Author to whom correspondence should be addressed.
Entropy 2019, 21(7), 625;
Received: 25 April 2019 / Revised: 14 June 2019 / Accepted: 17 June 2019 / Published: 26 June 2019
(This article belongs to the Special Issue Entropy Based Data Hiding)
PDF [1315 KB, uploaded 4 July 2019]


This paper proposes a reversible data hiding scheme by exploiting the DGHV fully homomorphic encryption, and analyzes the feasibility of the scheme for data hiding from the perspective of information entropy. In the proposed algorithm, additional data can be embedded directly into a DGHV fully homomorphic encrypted image without any preprocessing. On the sending side, by using two encrypted pixels as a group, a data hider can get the difference of two pixels in a group. Additional data can be embedded into the encrypted image by shifting the histogram of the differences with the fully homomorphic property. On the receiver side, a legal user can extract the additional data by getting the difference histogram, and the original image can be restored by using modular arithmetic. Besides, the additional data can be extracted after decryption while the original image can be restored. Compared with the previous two typical algorithms, the proposed scheme can effectively avoid preprocessing operations before encryption and can successfully embed and extract additional data in the encrypted domain. The extensive testing results on the standard images have certified the effectiveness of the proposed scheme. View Full-Text
Keywords: reversible data hiding; DGHV; public key cryptosystem; information entropy; cloud computing reversible data hiding; DGHV; public key cryptosystem; information entropy; cloud computing

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Li, J.; Liang, X.; Dai, C.; Xiang, S. Reversible Data Hiding Algorithm in Fully Homomorphic Encrypted Domain. Entropy 2019, 21, 625.

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