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The Cloud Of Cloud Computing

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Cloud computing has become the most common phenomenon in the recent years. More and more cloud services have flourished all around the world such as computing resource, storage space outsourcing and different kinds of software applications. For many reasons like low cost, efficiency, convenience, better connectivity and etc., user often stores his data on remote servers. Since more servers are public, there exist a lot of risks for the data in the transition process, the user ensures the privacy of his data by storing it in encrypted form, then he can search the encrypted data and retrieve it. The first effort of searching encrypted data by keyword was tackled by Song, Wagner and Perrig cite{s1}. To securely search over encrypted data, searchable encryption schemes have been proposed in recent years cite{b2,b3,b5,c2,c4,g1,w2}, which can be divided into two schemes: symmetric searchable encryption (SSE) and asymmetric searchable encryption (ASE). To perform a search on a dataset, an user creates an index of keywords listed in the documents and later on executes the search on the index in a way that allows the server to retrieve the documents contain a certain keyword instead of retrieving all the encrypted documents back which is fully impractical solution in cloud computing scenarios. Recent refinements and extensions to this scheme are given in cite{g1, w2}. The drawback of all the follow-up works is that they only allow the remote server to retrieve the documents that

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