ieeepro techno solutions 2014 ieee java project - a hybrid cloud approach for secure authorized

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This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 10.1109/TPDS.2014.2318320, IEEE Transactions on Parallel and Distributed Systems 1 A Hybrid Cloud Approach for Secure Authorized Deduplication Jin Li, Yan Kit Li, Xiaofeng Chen, Patrick P. C. Lee, Wenjing Lou Abstract—Data deduplication is one of important data compression techniques for eliminating duplicate copies of repeating data, and has been widely used in cloud storage to reduce the amount of storage space and save bandwidth. To protect the confidentiality of sensitive data while supporting deduplication, the convergent encryption technique has been proposed to encrypt the data before outsourcing. To better protect data security, this paper makes the first attempt to formally address the problem of authorized data deduplication. Different from traditional deduplication systems, the differential privileges of users are further considered in duplicate check besides the data itself. We also present several new deduplication constructions supporting authorized duplicate check in a hybrid cloud architecture. Security analysis demonstrates that our scheme is secure in terms of the definitions specified in the proposed security model. As a proof of concept, we implement a prototype of our proposed authorized duplicate check scheme and conduct testbed experiments using our prototype. We show that our proposed authorized duplicate check scheme incurs minimal overhead compared to normal operations. Index Terms—Deduplication, authorized duplicate check, confidentiality, hybrid cloud 1 I NTRODUCTION Cloud computing provides seemingly unlimited “virtu- alized” resources to users as services across the whole Internet, while hiding platform and implementation de- tails. Today’s cloud service providers offer both highly available storage and massively parallel computing re- sources at relatively low costs. As cloud computing becomes prevalent, an increasing amount of data is being stored in the cloud and shared by users with specified privileges, which define the access rights of the stored data. One critical challenge of cloud storage services is the management of the ever-increasing volume of data. To make data management scalable in cloud comput- ing, deduplication [17] has been a well-known technique and has attracted more and more attention recently. Data deduplication is a specialized data compression technique for eliminating duplicate copies of repeating data in storage. The technique is used to improve storage utilization and can also be applied to network data transfers to reduce the number of bytes that must be sent. Instead of keeping multiple data copies with the same content, deduplication eliminates redundant data by keeping only one physical copy and referring other redundant data to that copy. Deduplication can take J. Li is with the School of Computer Science, Guangzhou University, P.R. China and Department of Computer Science, Virginia Polytechnic Institute and State University, USA (Email: [email protected]) Xiaofeng Chen is with the State Key Laboratory of Integrated Service Networks (ISN), Xidian University, Xi’an, P.R. China and Department of Computer Science, Virginia Polytechnic Institute and State University, USA (Email: [email protected]) Y. Li and P. Lee are with the Department of Computer Science and Engineering, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong (emails: {liyk,pclee}@cse.cuhk.edu.hk). W. Lou is with the Department of Computer Science, Virginia Polytechnic Institute and State University, USA (Email: [email protected]) place at either the file level or the block level. For file- level deduplication, it eliminates duplicate copies of the same file. Deduplication can also take place at the block level, which eliminates duplicate blocks of data that occur in non-identical files. Although data deduplication brings a lot of benefits, security and privacy concerns arise as users’ sensitive data are susceptible to both insider and outsider attacks. Traditional encryption, while providing data confiden- tiality, is incompatible with data deduplication. Specif- ically, traditional encryption requires different users to encrypt their data with their own keys. Thus, identical data copies of different users will lead to different ci- phertexts, making deduplication impossible. Convergent encryption [8] has been proposed to enforce data con- fidentiality while making deduplication feasible. It en- crypts/decrypts a data copy with a convergent key, which is obtained by computing the cryptographic hash value of the content of the data copy. After key generation and data encryption, users retain the keys and send the ciphertext to the cloud. Since the encryption operation is deterministic and is derived from the data content, iden- tical data copies will generate the same convergent key and hence the same ciphertext. To prevent unauthorized access, a secure proof of ownership protocol [11] is also needed to provide the proof that the user indeed owns the same file when a duplicate is found. After the proof, subsequent users with the same file will be provided a pointer from the server without needing to upload the same file. A user can download the encrypted file with the pointer from the server, which can only be decrypted by the corresponding data owners with their convergent keys. Thus, convergent encryption allows the cloud to perform deduplication on the ciphertexts and the proof of ownership prevents the unauthorized user to access

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Page 1: Ieeepro techno solutions   2014 ieee java project - a hybrid cloud approach for secure authorized

This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI10.1109/TPDS.2014.2318320, IEEE Transactions on Parallel and Distributed Systems

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A Hybrid Cloud Approach for Secure AuthorizedDeduplication

Jin Li, Yan Kit Li, Xiaofeng Chen, Patrick P. C. Lee, Wenjing Lou

Abstract—Data deduplication is one of important data compression techniques for eliminating duplicate copies of repeating data,and has been widely used in cloud storage to reduce the amount of storage space and save bandwidth. To protect the confidentialityof sensitive data while supporting deduplication, the convergent encryption technique has been proposed to encrypt the data beforeoutsourcing. To better protect data security, this paper makes the first attempt to formally address the problem of authorized datadeduplication. Different from traditional deduplication systems, the differential privileges of users are further considered in duplicatecheck besides the data itself. We also present several new deduplication constructions supporting authorized duplicate check in a hybridcloud architecture. Security analysis demonstrates that our scheme is secure in terms of the definitions specified in the proposedsecurity model. As a proof of concept, we implement a prototype of our proposed authorized duplicate check scheme and conducttestbed experiments using our prototype. We show that our proposed authorized duplicate check scheme incurs minimal overheadcompared to normal operations.

Index Terms—Deduplication, authorized duplicate check, confidentiality, hybrid cloud

F

1 INTRODUCTION

Cloud computing provides seemingly unlimited “virtu-alized” resources to users as services across the wholeInternet, while hiding platform and implementation de-tails. Today’s cloud service providers offer both highlyavailable storage and massively parallel computing re-sources at relatively low costs. As cloud computingbecomes prevalent, an increasing amount of data is beingstored in the cloud and shared by users with specifiedprivileges, which define the access rights of the storeddata. One critical challenge of cloud storage services isthe management of the ever-increasing volume of data.

To make data management scalable in cloud comput-ing, deduplication [17] has been a well-known techniqueand has attracted more and more attention recently.Data deduplication is a specialized data compressiontechnique for eliminating duplicate copies of repeatingdata in storage. The technique is used to improve storageutilization and can also be applied to network datatransfers to reduce the number of bytes that must besent. Instead of keeping multiple data copies with thesame content, deduplication eliminates redundant databy keeping only one physical copy and referring otherredundant data to that copy. Deduplication can take

• J. Li is with the School of Computer Science, Guangzhou University, P.R.China and Department of Computer Science, Virginia Polytechnic Instituteand State University, USA (Email: [email protected])

• Xiaofeng Chen is with the State Key Laboratory of Integrated ServiceNetworks (ISN), Xidian University, Xi’an, P.R. China and Departmentof Computer Science, Virginia Polytechnic Institute and State University,USA (Email: [email protected])

• Y. Li and P. Lee are with the Department of Computer Science andEngineering, The Chinese University of Hong Kong, Shatin, N.T., HongKong (emails: {liyk,pclee}@cse.cuhk.edu.hk).

• W. Lou is with the Department of Computer Science, Virginia PolytechnicInstitute and State University, USA (Email: [email protected])

place at either the file level or the block level. For file-level deduplication, it eliminates duplicate copies of thesame file. Deduplication can also take place at the blocklevel, which eliminates duplicate blocks of data thatoccur in non-identical files.

Although data deduplication brings a lot of benefits,security and privacy concerns arise as users’ sensitivedata are susceptible to both insider and outsider attacks.Traditional encryption, while providing data confiden-tiality, is incompatible with data deduplication. Specif-ically, traditional encryption requires different users toencrypt their data with their own keys. Thus, identicaldata copies of different users will lead to different ci-phertexts, making deduplication impossible. Convergentencryption [8] has been proposed to enforce data con-fidentiality while making deduplication feasible. It en-crypts/decrypts a data copy with a convergent key, whichis obtained by computing the cryptographic hash valueof the content of the data copy. After key generationand data encryption, users retain the keys and send theciphertext to the cloud. Since the encryption operation isdeterministic and is derived from the data content, iden-tical data copies will generate the same convergent keyand hence the same ciphertext. To prevent unauthorizedaccess, a secure proof of ownership protocol [11] is alsoneeded to provide the proof that the user indeed ownsthe same file when a duplicate is found. After the proof,subsequent users with the same file will be provided apointer from the server without needing to upload thesame file. A user can download the encrypted file withthe pointer from the server, which can only be decryptedby the corresponding data owners with their convergentkeys. Thus, convergent encryption allows the cloud toperform deduplication on the ciphertexts and the proofof ownership prevents the unauthorized user to access

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the file.However, previous deduplication systems cannot sup-

port differential authorization duplicate check, which is im-portant in many applications. In such an authorizeddeduplication system, each user is issued a set of priv-ileges during system initialization (in Section 3, weelaborate the definition of a privilege with examples).Each file uploaded to the cloud is also bounded by a setof privileges to specify which kind of users is allowed toperform the duplicate check and access the files. Beforesubmitting his duplicate check request for some file, theuser needs to take this file and his own privileges asinputs. The user is able to find a duplicate for this fileif and only if there is a copy of this file and a matchedprivilege stored in cloud. For example, in a company,many different privileges will be assigned to employees.In order to save cost and efficiently management, thedata will be moved to the storage server provider (S-CSP) in the public cloud with specified privileges andthe deduplication technique will be applied to store onlyone copy of the same file. Because of privacy consid-eration, some files will be encrypted and allowed theduplicate check by employees with specified privilegesto realize the access control. Traditional deduplicationsystems based on convergent encryption, although pro-viding confidentiality to some extent, do not supportthe duplicate check with differential privileges. In otherwords, no differential privileges have been consideredin the deduplication based on convergent encryptiontechnique. It seems to be contradicted if we want torealize both deduplication and differential authorizationduplicate check at the same time.

1.1 Contributions

In this paper, aiming at efficiently solving the problem ofdeduplication with differential privileges in cloud com-puting, we consider a hybrid cloud architecture consist-ing of a public cloud and a private cloud. Unlike existingdata deduplication systems, the private cloud is involvedas a proxy to allow data owner/users to securely per-form duplicate check with differential privileges. Such anarchitecture is practical and has attracted much attentionfrom researchers. The data owners only outsource theirdata storage by utilizing public cloud while the dataoperation is managed in private cloud. A new dedu-plication system supporting differential duplicate checkis proposed under this hybrid cloud architecture wherethe S-CSP resides in the public cloud. The user is onlyallowed to perform the duplicate check for files markedwith the corresponding privileges.

Furthermore, we enhance our system in security.Specifically, we present an advanced scheme to supportstronger security by encrypting the file with differentialprivilege keys. In this way, the users without correspond-ing privileges cannot perform the duplicate check. Fur-thermore, such unauthorized users cannot decrypt theciphertext even collude with the S-CSP. Security analysis

Acronym Description

S-CSP Storage-cloud service providerPoW Proof of Ownership(pkU , skU ) User’s public and secret key pairkF Convergent encryption key for file FPU Privilege set of a user UPF Specified privilege set of a file Fϕ′F,p Token of file F with privilege p

TABLE 1Notations Used in This Paper

demonstrates that our system is secure in terms of thedefinitions specified in the proposed security model.

Finally, we implement a prototype of the proposedauthorized duplicate check and conduct testbed exper-iments to evaluate the overhead of the prototype. Weshow that the overhead is minimal compared to the nor-mal convergent encryption and file upload operations.

1.2 OrganizationThe rest of this paper proceeds as follows. In Section 2,we briefly revisit some preliminaries of this paper. InSection 3, we propose the system model for our dedupli-cation system. In Section 4, we propose a practical dedu-plication system with differential privileges in cloudcomputing. The security and efficiency analysis for theproposed system are respectively presented in Section 5.In Section 6, we present the implementation of our pro-totype, and in Section 7, we present testbed evaluationresults. Finally we draw conclusion in Section 8.

2 PRELIMINARIES

In this section, we first define the notations used in thispaper, review some secure primitives used in our securededuplication. The notations used in this paper are listedin TABLE 1.

Symmetric encryption. Symmetric encryption uses acommon secret key κ to encrypt and decrypt informa-tion. A symmetric encryption scheme consists of threeprimitive functions:

• KeyGenSE(1λ) → κ is the key generation algorithm

that generates κ using security parameter 1λ;• EncSE(κ,M) → C is the symmetric encryption algo-

rithm that takes the secret κ and message M andthen outputs the ciphertext C; and

• DecSE(κ,C) → M is the symmetric decryption algo-rithm that takes the secret κ and ciphertext C andthen outputs the original message M .

Convergent encryption. Convergent encryption [4],[8] provides data confidentiality in deduplication. A user(or data owner) derives a convergent key from eachoriginal data copy and encrypts the data copy with theconvergent key. In addition, the user also derives a tagfor the data copy, such that the tag will be used to detectduplicates. Here, we assume that the tag correctness

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property [4] holds, i.e., if two data copies are the same,then their tags are the same. To detect duplicates, theuser first sends the tag to the server side to check ifthe identical copy has been already stored. Note thatboth the convergent key and the tag are independentlyderived, and the tag cannot be used to deduce theconvergent key and compromise data confidentiality.Both the encrypted data copy and its corresponding tagwill be stored on the server side. Formally, a convergentencryption scheme can be defined with four primitivefunctions:

• KeyGenCE(M) → K is the key generation algorithmthat maps a data copy M to a convergent key K;

• EncCE(K,M) → C is the symmetric encryptionalgorithm that takes both the convergent key Kand the data copy M as inputs and then outputsa ciphertext C;

• DecCE(K,C) → M is the decryption algorithm thattakes both the ciphertext C and the convergent keyK as inputs and then outputs the original data copyM ; and

• TagGen(M) → T (M) is the tag generation algorithmthat maps the original data copy M and outputs atag T (M).

Proof of ownership. The notion of proof of ownership(PoW) [11] enables users to prove their ownership ofdata copies to the storage server. Specifically, PoW isimplemented as an interactive algorithm (denoted byPoW) run by a prover (i.e., user) and a verifier (i.e.,storage server). The verifier derives a short value ϕ(M)from a data copy M . To prove the ownership of thedata copy M , the prover needs to send ϕ′ to the verifiersuch that ϕ′ = ϕ(M). The formal security definitionfor PoW roughly follows the threat model in a contentdistribution network, where an attacker does not knowthe entire file, but has accomplices who have the file. Theaccomplices follow the “bounded retrieval model”, suchthat they can help the attacker obtain the file, subject tothe constraint that they must send fewer bits than theinitial min-entropy of the file to the attacker [11].

Identification Protocol. An identification protocol Πcan be described with two phases: Proof and Verify. Inthe stage of Proof, a prover/user U can demonstrate hisidentity to a verifier by performing some identificationproof related to his identity. The input of the prover/useris his private key skU that is sensitive information suchas private key of a public key in his certificate or creditcard number etc. that he would not like to share withthe other users. The verifier performs the verificationwith input of public information pkU related to skU . Atthe conclusion of the protocol, the verifier outputs eitheraccept or reject to denote whether the proof is passedor not. There are many efficient identification protocolsin literature, including certificate-based, identity-basedidentification etc. [5], [6].

User

Public Cloud

Private Cloud

3. Upload/Download Request

4. Results

Encrypted Files

Privilege Keys

1. Token Request2. File Token

Fig. 1. Architecture for Authorized Deduplication

3 SYSTEM MODEL

3.1 Hybrid Architecture for Secure DeduplicationAt a high level, our setting of interest is an enterprisenetwork, consisting of a group of affiliated clients (forexample, employees of a company) who will use theS-CSP and store data with deduplication technique. Inthis setting, deduplication can be frequently used inthese settings for data backup and disaster recoveryapplications while greatly reducing storage space. Suchsystems are widespread and are often more suitableto user file backup and synchronization applicationsthan richer storage abstractions. There are three entitiesdefined in our system, that is, users, private cloud andS-CSP in public cloud as shown in Fig. 1. The S-CSPperforms deduplication by checking if the contents oftwo files are the same and stores only one of them.

The access right to a file is defined based on a setof privileges. The exact definition of a privilege variesacross applications. For example, we may define a role-based privilege [9], [19] according to job positions (e.g.,Director, Project Lead, and Engineer), or we may definea time-based privilege that specifies a valid time period(e.g., 2014-01-01 to 2014-01-31) within which a file canbe accessed. A user, say Alice, may be assigned twoprivileges “Director” and “access right valid on 2014-01-01”, so that she can access any file whose access roleis “Director” and accessible time period covers 2014-01-01. Each privilege is represented in the form of a shortmessage called token. Each file is associated with somefile tokens, which denote the tag with specified privileges(see the definition of a tag in Section 2). A user computesand sends duplicate-check tokens to the public cloud forauthorized duplicate check.

Users have access to the private cloud server, a semi-trusted third party which will aid in performing dedu-plicable encryption by generating file tokens for therequesting users. We will explain further the role of theprivate cloud server below. Users are also provisioned

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with per-user encryption keys and credentials (e.g., usercertificates). In this paper, we will only consider the file-level deduplication for simplicity. In another word, werefer a data copy to be a whole file and file-level dedu-plication which eliminates the storage of any redundantfiles. Actually, block-level deduplication can be easilydeduced from file-level deduplication, which is similarto [12]. Specifically, to upload a file, a user first performsthe file-level duplicate check. If the file is a duplicate,then all its blocks must be duplicates as well; otherwise,the user further performs the block-level duplicate checkand identifies the unique blocks to be uploaded. Eachdata copy (i.e., a file or a block) is associated with atoken for the duplicate check.

• S-CSP. This is an entity that provides a data storageservice in public cloud. The S-CSP provides thedata outsourcing service and stores data on behalfof the users. To reduce the storage cost, the S-CSPeliminates the storage of redundant data via dedu-plication and keeps only unique data. In this paper,we assume that S-CSP is always online and hasabundant storage capacity and computation power.

• Data Users. A user is an entity that wants to out-source data storage to the S-CSP and access thedata later. In a storage system supporting dedupli-cation, the user only uploads unique data but doesnot upload any duplicate data to save the uploadbandwidth, which may be owned by the same useror different users. In the authorized deduplicationsystem, each user is issued a set of privileges in thesetup of the system. Each file is protected with theconvergent encryption key and privilege keys to re-alize the authorized deduplication with differentialprivileges.

• Private Cloud. Compared with the traditional dedu-plication architecture in cloud computing, this isa new entity introduced for facilitating user’s se-cure usage of cloud service. Specifically, since thecomputing resources at data user/owner side arerestricted and the public cloud is not fully trustedin practice, private cloud is able to provide datauser/owner with an execution environment andinfrastructure working as an interface between userand the public cloud. The private keys for theprivileges are managed by the private cloud, whoanswers the file token requests from the users. Theinterface offered by the private cloud allows user tosubmit files and queries to be securely stored andcomputed respectively.

Notice that this is a novel architecture for data dedu-plication in cloud computing, which consists of a twinclouds (i.e., the public cloud and the private cloud).Actually, this hybrid cloud setting has attracted moreand more attention recently. For example, an enterprisemight use a public cloud service, such as Amazon S3, forarchived data, but continue to maintain in-house storagefor operational customer data. Alternatively, the trusted

private cloud could be a cluster of virtualized crypto-graphic co-processors, which are offered as a serviceby a third party and provide the necessary hardware-based security features to implement a remote executionenvironment trusted by the users.

3.2 Adversary ModelTypically, we assume that the public cloud and privatecloud are both “honest-but-curious”. Specifically theywill follow our proposed protocol, but try to find outas much secret information as possible based on theirpossessions. Users would try to access data either withinor out of the scopes of their privileges.

In this paper, we suppose that all the files are sen-sitive and needed to be fully protected against bothpublic cloud and private cloud. Under the assumption,two kinds of adversaries are considered, that is, 1)external adversaries which aim to extract secret infor-mation as much as possible from both public cloudand private cloud; 2) internal adversaries who aim toobtain more information on the file from the publiccloud and duplicate-check token information from theprivate cloud outside of their scopes. Such adversariesmay include S-CSP, private cloud server and authorizedusers. The detailed security definitions against theseadversaries are discussed below and in Section 5, whereattacks launched by external adversaries are viewed asspecial attacks from internal adversaries.

3.3 Design GoalsIn this paper, we address the problem of privacy-preserving deduplication in cloud computing and pro-pose a new deduplication system supporting for

• Differential Authorization. Each authorized user isable to get his/her individual token of his file toperform duplicate check based on his privileges.Under this assumption, any user cannot generatea token for duplicate check out of his privileges orwithout the aid from the private cloud server.

• Authorized Duplicate Check. Authorized user is ableto use his/her individual private keys to generatequery for certain file and the privileges he/sheowned with the help of private cloud, while thepublic cloud performs duplicate check directly andtells the user if there is any duplicate.

The security requirements considered in this paper liein two folds, including the security of file token andsecurity of data files. For the security of file token, twoaspects are defined as unforgeability and indistinguisha-bility of file token. The details are given below.

• Unforgeability of file token/duplicate-check token. Unau-thorized users without appropriate privileges or fileshould be prevented from getting or generating thefile tokens for duplicate check of any file stored atthe S-CSP. The users are not allowed to collude withthe public cloud server to break the unforgeability

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of file tokens. In our system, the S-CSP is honestbut curious and will honestly perform the duplicatecheck upon receiving the duplicate request fromusers. The duplicate check token of users should beissued from the private cloud server in our scheme.

• Indistinguishability of file token/duplicate-check token. Itrequires that any user without querying the privatecloud server for some file token, he cannot get anyuseful information from the token, which includesthe file information or the privilege information.

• Data Confidentiality. Unauthorized users without ap-propriate privileges or files, including the S-CSP andthe private cloud server, should be prevented fromaccess to the underlying plaintext stored at S-CSP.In another word, the goal of the adversary is toretrieve and recover the files that do not belong tothem. In our system, compared to the previous def-inition of data confidentiality based on convergentencryption, a higher level confidentiality is definedand achieved.

4 SECURE DEDUPLICATION SYSTEMS

Main Idea. To support authorized deduplication, the tagof a file F will be determined by the file F and the priv-ilege. To show the difference with traditional notation oftag, we call it file token instead. To support authorizedaccess, a secret key kp will be bounded with a privilege pto generate a file token. Let ϕ′

F,p = TagGen(F, kp) denotethe token of F that is only allowed to access by user withprivilege p. In another word, the token ϕ′

F,p could onlybe computed by the users with privilege p. As a result, ifa file has been uploaded by a user with a duplicate tokenϕ′F,p, then a duplicate check sent from another user will

be successful if and only if he also has the file F andprivilege p. Such a token generation function could beeasily implemented as H(F, kp), where H(·) denotes acryptographic hash function.

4.1 A First Attempt

Before introducing our construction of differentialdeduplication, we present a straightforward attemptwith the technique of token generation TagGen(F, kp)above to design such a deduplication system. The mainidea of this basic construction is to issue correspondingprivilege keys to each user, who will compute the filetokens and perform the duplicate check based on theprivilege keys and files. In more details, suppose thatthere are N users in the system and the privileges inthe universe is defined as P = {p1, . . . , ps}. For eachprivilege p in P , a private key kp will be selected. For auser U with a set of privileges PU , he will be assignedthe set of keys {kpi}pi∈PU .

File Uploading. Suppose that a data owner U withprivilege set PU wants to upload and share a file Fwith users who have the privilege set PF = {pj}.

The user computes and sends S-CSP the file tokenϕ′F,p = TagGen(F, kp) for all p ∈ PF .

• If a duplicate is found by the S-CSP, the user pro-ceeds proof of ownership of this file with the S-CSP.If the proof is passed, the user will be assigned apointer, which allows him to access the file.

• Otherwise, if no duplicate is found, the user com-putes the encrypted file CF = EncCE(kF , F ) withthe convergent key kF = KeyGenCE(F ) and uploads(CF , {ϕ′

F,p}) to the cloud server. The convergent keykF is stored by the user locally.

File Retrieving. Suppose a user wants to download a fileF . It first sends a request and the file name to the S-CSP.Upon receiving the request and file name, the S-CSPwill check whether the user is eligible to download F .If failed, the S-CSP sends back an abort signal to theuser to indicate the download failure. Otherwise, theS-CSP returns the corresponding ciphertext CF . Uponreceiving the encrypted data from the S-CSP, the useruses the key kF stored locally to recover the originalfile F .

Problems. Such a construction of authorizeddeduplication has several serious security problems,which are listed below.

• First, each user will be issued private keys{kpi}pi∈PU

for their corresponding privileges, de-noted by PU in our above construction. These pri-vate keys {kpi}pi∈PU

can be applied by the user togenerate file token for duplicate check. However,during file uploading, the user needs to compute filetokens for sharing with other users with privilegesPF . To compute these file tokens, the user needsto know the private keys for PF , which means PF

could only be chosen from PU . Such a restrictionmakes the authorized deduplication system unableto be widely used and limited.

• Second, the above deduplication system cannot pre-vent the privilege private key sharing among users.The users will be issued the same private key forthe same privilege in the construction. As a result,the users may collude and generate privilege privatekeys for a new privilege set P ∗ that does not belongto any of the colluded user. For example, a userwith privilege set PU1 may collude with anotheruser with privilege set PU2 to get a privilege setP ∗=PU1 ∪ PU2.

• The construction is inherently subject to brute-forceattacks that can recover files falling into a knownset. That is, the deduplication system cannot pro-tect the security of predictable files. One of criticalreasons is that the traditional convergent encryptionsystem can only protect the semantic security ofunpredictable files.

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4.2 Our Proposed System DescriptionTo solve the problems of the construction in Section 4.1,we propose another advanced deduplication system sup-porting authorized duplicate check. In this new dedupli-cation system, a hybrid cloud architecture is introducedto solve the problem. The private keys for privileges willnot be issued to users directly, which will be kept andmanaged by the private cloud server instead. In this way,the users cannot share these private keys of privilegesin this proposed construction, which means that it canprevent the privilege key sharing among users in theabove straightforward construction. To get a file token,the user needs to send a request to the private cloudserver. The intuition of this construction can be describedas follows. To perform the duplicate check for some file,the user needs to get the file token from the privatecloud server. The private cloud server will also checkthe user’s identity before issuing the corresponding filetoken to the user. The authorized duplicate check forthis file can be performed by the user with the publiccloud before uploading this file. Based on the results ofduplicate check, the user either uploads this file or runsPoW.

Before giving our construction of the deduplicationsystem, we define a binary relation R = {((p, p′)} asfollows. Given two privileges p and p′, we say that pmatches p′ if and only if R(p, p′) = 1. This kind of ageneric binary relation definition could be instantiatedbased on the background of applications, such as thecommon hierarchical relation. More precisely, in a hier-archical relation, p matches p′ if p is a higher-level privi-lege. For example, in an enterprise management system,three hierarchical privilege levels are defined as Director,Project lead, and Engineer, where Director is at the toplevel and Engineer is at the bottom level. Obviously, inthis simple example, the privilege of Director matchesthe privileges of Project lead and Engineer. We providethe proposed deduplication system as follows.

System Setup. The privilege universe P is defined asin Section 4.1. A symmetric key kpi for each pi ∈ Pwill be selected and the set of keys {kpi}pi∈P will besent to the private cloud. An identification protocolΠ = (Proof,Verify) is also defined, where Proof andVerify are the proof and verification algorithm respec-tively. Furthermore, each user U is assumed to have asecret key skU to perform the identification with servers.Assume that user U has the privilege set PU . It alsoinitializes a PoW protocol POW for the file ownershipproof. The private cloud server will maintain a tablewhich stores each user’s public information pkU and itscorresponding privilege set PU . The file storage systemfor the storage server is set to be ⊥.

File Uploading. Suppose that a data owner wants toupload and share a file F with users whose privilege be-longs to the set PF = {pj}. The data owner needs interactwith the private cloud before performing duplicate checkwith the S-CSP. More precisely, the data owner performs

an identification to prove its identity with private keyskU . If it is passed, the private cloud server will findthe corresponding privileges PU of the user from itsstored table list. The user computes and sends the filetag ϕF = TagGen(F ) to the private cloud server, whowill return {ϕ′

F,pτ= TagGen(ϕF , kpτ )} back to the user

for all pτ satisfying R(p, pτ ) = 1 and p ∈ PU . Then, theuser will interact and send the file token {ϕ′

F,pτ} to the

S-CSP.• If a file duplicate is found, the user needs to run

the PoW protocol POW with the S-CSP to prove thefile ownership. If the proof is passed, the user willbe provided a pointer for the file. Furthermore, aproof from the S-CSP will be returned, which couldbe a signature on {ϕ′

F,pτ}, pkU and a time stamp.

The user sends the privilege set PF = {pj} forthe file F as well as the proof to the private cloudserver. Upon receiving the request, the private cloudserver first verifies the proof from the S-CSP. If it ispassed, the private cloud server computes {ϕ′

F,pτ=

TagGen(ϕF , kpτ )} for all pτ satisfying R(p, pτ ) = 1for each p ∈ PF -PU , which will be returned to theuser. The user also uploads these tokens of the fileF to the private cloud server. Then, the privilegeset of the file is set to be the union of PF and theprivilege sets defined by the other data owners.

• Otherwise, if no duplicate is found, a proof fromthe S-CSP will be returned, which is also a sig-nature on {ϕ′

F,pτ}, pkU and a time stamp. The

user sends the privilege set PF = {pj} for thefile F as well as the proof to the private cloudserver. Upon receiving the request, the private cloudserver first verifies the proof from the S-CSP. If it ispassed, the private cloud server computes {ϕ′

F,pτ=

TagGen(ϕF , kpτ )} for all pτ satisfying R(p, pτ ) = 1and p ∈ PF . Finally, the user computes the en-crypted file CF = EncCE(kF , F ) with the convergentkey kF = KeyGenCE(F ) and uploads {CF , {ϕ′

F,pτ}}

with privilege PF .File Retrieving. The user downloads his files in the sameway as the deduplication system in Section 4.1. That is,the user can recover the original file with the convergentkey kF after receiving the encrypted data from the S-CSP.

4.3 Further EnhancementThough the above solution supports the differentialprivilege duplicate, it is inherently subject to brute-force attacks launched by the public cloud server, whichcan recover files falling into a known set. More specif-ically, knowing that the target file space underlyinga given ciphertext C is drawn from a message spaceS = {F1, · · · , Fn} of size n, the public cloud servercan recover F after at most n off-line encryptions. Thatis, for each i = 1, · · · , n, it simply encrypts Fi to geta ciphertext denoted by Ci. If C = Ci, it means thatthe underlying file is Fi. Security is thus only possiblewhen such a message is unpredictable. This traditional

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convergent encryption will be insecure for predictablefile.We design and implement a new system which couldprotect the security for predicatable message. The mainidea of our technique is that the novel encryption keygeneration algorithm. For simplicity, we will use thehash functions to define the tag generation functionsand convergent keys in this section. In traditional con-vergent encryption, to support duplicate check, the keyis derived from the file F by using some cryptographichash function kF = H(F ). To avoid the deterministic keygeneration, the encryption key kF for file F in our systemwill be generated with the aid of the private key cloudserver with privilege key kp. The encryption key can beviewed as the form of kF,p = H0(H(F ), kp)

⊕H2(F ),

where H0,H and H2 are all cryptographic hash func-tions. The file F is encrypted with another key k, while kwill be encrypted with kF,p. In this way, both the privatecloud server and S-CSP cannot decrypt the ciphertext.Furthermore, it is semantically secure to the S-CSP basedon the security of symmetric encryption. For S-CSP, if thefile is unpredicatable, then it is semantically secure too.The details of the scheme, which has been instantiatedwith hash functions for simplicity, are described below.

System Setup. The privilege universe P and the sym-metric key kpi for each pi ∈ P will be selected forthe private cloud as above. An identification protocolΠ = (Proof,Verify) is also defined. The proof of own-ership POW is instantiated by hash functions H,H0,H1

and H2, which will be shown as follows. The privatecloud server maintains a table which stores each user’sidentity and its corresponding privilege.

File Uploading. Suppose that a data owner with priv-ilege p wants to upload and share a file F with userswhose privilege belongs to the set P = {pj}. The dataowner performs the identification and sends H(F ) tothe private cloud server. Two file tag sets {ϕF,pτ =H0(H(F ), kpτ )} and {ϕ′

F,pτ= H1(H(F ), kpτ )} for all pτ

satisfying R(p, pτ ) = 1 and p ∈ PU will be sent backto the user if the identification passes. After receivingthe tag {ϕF,pτ }, and {ϕ′

F,pτ}, the user will interact and

send these two tag sets to the S-CSP. If a file duplicateis found, the user needs to run the PoW protocol POWwith the S-CSP to prove the file ownership. If the proof isalso passed, the user will be provided a pointer for thefile. Otherwise, if no duplicate is found, a proof fromthe S-CSP will be returned, which could be a signature.The user sends the privilege set P = {pj} as well as theproof to the private cloud server for file upload request.Upon receiving the request, the private cloud serververifies the signature first. If it is passed, the privatecloud server will compute ϕF,pj = H0(H(F ), kpj ) andϕ′F,pj

= H1(H(F ), kpj ) for each pj satisfying R(p, pj) = 1and p ∈ PF , which will be returned to the user. Finally,the user computes the encryption CF = EncSE(k, F ),where k is random key, which will be encrypted into ci-phertext Ck,pj with each key in {kF,pj = ϕF,pj

⊕H2(F )}

using a symmetric encryption algorithm. Finally, the useruploads {ϕ′

F,pj, CF , Ck,pj}.

File Retrieving. The procedure of file retrieving is sim-ilar to the construction in Section 4.2. Suppose a userwants to download a file F . The user first uses his keykF,pj to decrypt Ck,pj and obtain k. Then the user usesk to recover the original file F .

5 SECURITY ANALYSIS

Our system is designed to solve the differential privilegeproblem in secure deduplication. The security will beanalyzed in terms of two aspects, that is, the authoriza-tion of duplicate check and the confidentiality of data.Some basic tools have been used to construct the securededuplication, which are assumed to be secure. Thesebasic tools include the convergent encryption scheme,symmetric encryption scheme, and the PoW scheme.Based on this assumption, we show that systems aresecure with respect to the following security analysis.

5.1 Security of Duplicate-Check Token

We consider several types of privacy we need protect,that is, i) unforgeability of duplicate-check token: Thereare two types of adversaries, that is, external adversaryand internal adversary. As shown below, the external ad-versary can be viewed as an internal adversary withoutany privilege. If a user has privilege p, it requires thatthe adversary cannot forge and output a valid duplicatetoken with any other privilege p′ on any file F , wherep does not match p′. Furthermore, it also requires thatif the adversary does not make a request of token withits own privilege from private cloud server, it cannotforge and output a valid duplicate token with p onany F that has been queried. The internal adversarieshave more attack power than the external adversariesand thus we only need to consider the security againstthe internal attacker, ii) indistinguishability of duplicate-check token: this property is also defined in terms oftwo aspects as the definition of unforgeability. First, ifa user has privilege p, given a token ϕ′, it requires thatthe adversary cannot distinguish which privilege or filein the token if p does not match p′. Furthermore, it alsorequire that if the adversary does not make a request oftoken with its own privilege from private cloud server,it cannot distinguish a valid duplicate token with p onany other F that the adversary has not queried. In thesecurity definition of indistinguishablity, we require thatthe adversary is not allowed to collude with the publiccloud servers. Actually, such an assumption could beremoved if the private cloud server maintains the taglist for all the files uploaded. Similar to the analysis ofunforgeability, the security against external adversariesis implied in the security against the internal adversaries.

Next, we will give detailed security analysis forscheme in Section 4.2 based on the above definitions.

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Unforgeability of duplicate-check token

• Assume a user with privilege p could forge a newduplicate-check token ϕ′

F,p′ for any p′ that does notmatch p. If it is a valid token, then it should becalculated as ϕ′

F,p′ = H1(H(F ), kp′). Recall that kp′

is a secret key kept by the private cloud serverand H1(H(F ), kp′) is a valid message authenticationcode. Thus, without kp′ , the adversary cannot forgeand output a new valid one for any file F .

• For any user with privilege p, to output a newduplicate-check token ϕ′

F,p, it also requires theknowledge of kp. Otherwise, the adversary couldbreak the security of message authentication code.

Indistinguishiability of duplicate-check token

The security of indistinguishability of token can bealso proved based on the assumption of the underlyingmessage authentication code is secure. The security ofmessage authentication code requires that the adversarycannot distinguish if a code is generated from an un-known key. In our deduplication system, all the privilegekeys are kept secret by the private cloud server. Thus,even if a user has privilege p, given a token ϕ′, theadversary cannot distinguish which privilege or file inthe token because he does not have the knowledge ofprivilege key skp.

5.2 Confidentiality of Data

The data will be encrypted in our deduplication systembefore outsourcing to the S-CSP. Furthermore, two kindsof different encryption methods have been applied inour two constructions. Thus, we will analyze them re-spectively. In the scheme in Section 4.2, the data is en-crypted with the traditional encryption scheme. The dataencrypted with such encryption method cannot achievesemantic security as it is inherently subject to brute-force attacks that can recover files falling into a knownset. Thus, several new security notations of privacyagainst chosen-distribution attacks have been defined forunpredictable message. In another word, the adaptedsecurity definition guarantees that the encryptions oftwo unpredictable messages should be indistinguishable.Thus, the security of data in our first construction couldbe guaranteed under this security notion.

We discuss the confidentiality of data in our furtherenhanced construction in Section 4.3. The security anal-ysis for external adversaries and internal adversaries isalmost identical, except the internal adversaries are pro-vided with some convergent encryption keys addition-ally. However, these convergent encryption keys haveno security impact on the data confidentiality becausethese convergent encryption keys are computed withdifferent privileges. Recall that the data are encryptedwith the symmetric key encryption technique, insteadof the convergent encryption method. Though the sym-metric key k is randomly chosen, it is encrypted by

another convergent encryption key kF,p. Thus, we stillneed analyze the confidentiality of data by consideringthe convergent encryption. Different from the previousone, the convergent key in our construction is not de-terministic in terms of the file, which still depends onthe privilege secret key stored by the private cloudserver and unknown to the adversary. Therefore, if theadversary does not collude with the private cloud server,the confidentiality of our second construction is seman-tically secure for both predictable and unpredictable file.Otherwise, if they collude, then the confidentiality of filewill be reduced to convergent encryption because theencryption key is deterministic.

6 IMPLEMENTATION

We implement a prototype of the proposed authorizeddeduplication system, in which we model three entitiesas separate C++ programs. A Client program is used tomodel the data users to carry out the file upload process.A Private Server program is used to model the privatecloud which manages the private keys and handles thefile token computation. A Storage Server program is usedto model the S-CSP which stores and deduplicates files.

We implement cryptographic operations of hashingand encryption with the OpenSSL library [1]. We also im-plement the communication between the entities basedon HTTP, using GNU Libmicrohttpd [10] and libcurl [13].Thus, users can issue HTTP Post requests to the servers.

Our implementation of the Client provides the fol-lowing function calls to support token generation anddeduplication along the file upload process.

• FileTag(File) - It computes SHA-1 hash of theFile as File Tag;

• TokenReq(Tag, UserID) - It requests the PrivateServer for File Token generation with the File Tagand User ID;

• DupCheckReq(Token) - It requests the StorageServer for Duplicate Check of the File by sendingthe file token received from private server;

• ShareTokenReq(Tag, {Priv.}) - It requests thePrivate Server to generate the Share File Token withthe File Tag and Target Sharing Privilege Set;

• FileEncrypt(File) - It encrypts the File withConvergent Encryption using 256-bit AES algorithmin cipher block chaining (CBC) mode, where theconvergent key is from SHA-256 Hashing of the file;and

• FileUploadReq(FileID, File, Token) - Ituploads the File Data to the Storage Server if thefile is Unique and updates the File Token stored.

Our implementation of the Private Server includescorresponding request handlers for the token generationand maintains a key storage with Hash Map.

• TokenGen(Tag, UserID) - It loads the associatedprivilege keys of the user and generate the tokenwith HMAC-SHA-1 algorithm; and

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0

2

4

6

8

10

12

14

10 50 100 200 400

Tim

e (s

ec)

File Size (MB)

Tagging

Token Gen

Duplicate Check

Share Token Gen

Encryption

Transfer

Fig. 2. Time Breakdown for Different File Size

• ShareTokenGen(Tag, {Priv.}) - It generatesthe share token with the corresponding privilegekeys of the sharing privilege set with HMAC-SHA-1algorithm.

Our implementation of the Storage Server providesdeduplication and data storage with following handlersand maintains a map between existing files and associ-ated token with Hash Map.

• DupCheck(Token) - It searches the File to TokenMap for Duplicate; and

• FileStore(FileID, File, Token) - It storesthe File on Disk and updates the Mapping.

7 EVALUATION

We conduct testbed evaluation on our prototype. Ourevaluation focuses on comparing the overhead inducedby authorization steps, including file token generationand share token generation, against the convergent en-cryption and file upload steps. We evaluate the over-head by varying different factors, including 1) File Size2) Number of Stored Files 3) Deduplication Ratio 4) Priv-ilege Set Size . We also evaluate the prototype with areal-world workload based on VM images.

We conduct the experiments with three machinesequipped with an Intel Core-2-Quad 2.66GHz Quad CoreCPU, 4GB RAM and installed with Ubuntu 12.04 32-Bit Operation System. The machines are connected with1Gbps Ethernet network.

We break down the upload process into 6 steps, 1) Tag-ging 2) Token Generation 3) Duplicate Check 4) ShareToken Generation 5) Encryption 6) Transfer . For eachstep, we record the start and end time of it and thereforeobtain the breakdown of the total time spent. We presentthe average time taken in each data set in the figures.

7.1 File SizeTo evaluate the effect of file size to the time spent ondifferent steps, we upload 100 unique files (i.e., without

0

500

1000

1500

2000

0 2000 4000 6000 8000 10000

Cu

mu

lati

ve

Tim

e (s

ec)

Number of Files

Tagging

Token Gen

Duplicate Check

Share Token Gen

Encryption

Transfer

Fig. 3. Time Breakdown for Different Number of StoredFiles

any deduplication opportunity) of particular file sizeand record the time break down. Using the unique filesenables us to evaluate the worst-case scenario wherewe have to upload all file data. The average time ofthe steps from test sets of different file size are plottedin Figure 2. The time spent on tagging, encryption,upload increases linearly with the file size, since theseoperations involve the actual file data and incur fileI/O with the whole file. In contrast, other steps such astoken generation and duplicate check only use the filemetadata for computation and therefore the time spentremains constant. With the file size increasing from 10MBto 400MB, the overhead of the proposed authorizationsteps decreases from 14.9% to 0.483%.

7.2 Number of Stored Files

To evaluate the effect of number of stored files in the sys-tem, we upload 10000 10MB unique files to the systemand record the breakdown for every file upload. FromFigure 3, every step remains constant along the time.Token checking is done with a hash table and a linearsearch would be carried out in case of collision. Despiteof the possibility of a linear search, the time taken induplicate check remains stable due to the low collisionprobability.

7.3 Deduplication Ratio

To evaluate the effect of the deduplication ratio, weprepare two unique data sets, each of which consists of50 100MB files. We first upload the first set as an initialupload. For the second upload, we pick a portion of 50files, according to the given deduplication ratio, from theinitial set as duplicate files and remaining files from thesecond set as unique files. The average time of uploadingthe second set is presented in Figure 4. As uploading andencryption would be skipped in case of duplicate files,the time spent on both of them decreases with increasing

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0

1

2

3

4

5

0 20 40 60 80 100

Tim

e (s

ec)

Deduplication Ratio (%)

Tagging

Token Gen

Duplicate Check

Share Token Gen

Encryption

Transfer

Fig. 4. Time Breakdown for Different Deduplication Ratio

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1000 10000 30000 50000 100000

Tim

e (s

ec)

Privilege Set Size

Tagging

Token Gen

Duplicate Check

Share Token Gen

Encryption

Transfer

Fig. 5. Time Breakdown for Different Privilege Set Size

deduplication ratio. The time spent on duplicate checkalso decreases as the searching would be ended whenduplicate is found. Total time spent on uploading thefile with deduplication ratio at 100% is only 33.5% withunique files.

7.4 Privilege Set SizeTo evaluate the effect of privilege set size, we upload100 10MB unique files with different size of the dataowner and target share privilege set size. In Figure 5,it shows the time taken in token generation increaseslinearly as more keys are associated with the file andalso the duplicate check time. While the number of keysincreases 100 times from 1000 to 100000, the total timespent only increases to 3.81 times and it is noted that thefile size of the experiment is set at a small level (10MB),the effect would become less significant in case of largerfiles.

7.5 Real-World VM ImagesTo evaluate the overhead introduced under read-worldworkload dataset, we consider a dataset of weekly VM

0

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30

40

50

60

70

80

1 2 3 4 5 6 7 8 9 10 11 12

Tim

e (s

ec)

Week

Tagging

Token Gen

Duplicate Check

Share Token Gen

Encryption

Transfer

Fig. 6. Time Breakdown for the VM dataset.

image snapshots collected over a 12-week span in auniversity programming course, while the same datasetis also used in the prior work [14]. We perform block-level deduplication with a fixed block size of 4KB. Theinitial data size of an image is 3.2GB (excluding all zeroblocks). After 12 weeks, the average data size of an imageincreases to 4GB and the average deduplication ratiois 97.9%. For privacy, we only collected cryptographichashes on 4KB fixed-size blocks; in other words, thetagging phase is done beforehand. Here, we randomlypick 10 VM image series to form the dataset. Figure 6shows that the time taken in token generation andduplicate checking increases linearly as the VM imagegrows in data size. The time taken in encryption anddata transfer is low because of the high deduplicationratio. Time taken for the first week is the highest as theinitial upload contains more unique data. Overall, theresults are consistent with the prior experiments that usesynthetic workloads.

7.6 Summary

To conclude the findings, the token generation intro-duces only minimal overhead in the entire upload pro-cess and is negligible for moderate file sizes, for example,less than 2% with 100MB files. This suggests that thescheme is suitable to construct an authorized deduplica-tion system for backup storage.

8 RELATED WORK

Secure Deduplication. With the advent of cloudcomputing, secure data deduplication has attractedmuch attention recently from research community.Yuan et al. [24] proposed a deduplication system inthe cloud storage to reduce the storage size of thetags for integrity check. To enhance the security ofdeduplication and protect the data confidentiality,Bellare et al. [3] showed how to protect the dataconfidentiality by transforming the predicatable message

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into unpredicatable message. In their system, anotherthird party called key server is introduced to generatethe file tag for duplicate check. Stanek et al. [20]presented a novel encryption scheme that providesdifferential security for popular data and unpopulardata. For popular data that are not particularly sensitive,the traditional conventional encryption is performed.Another two-layered encryption scheme with strongersecurity while supporting deduplication is proposedfor unpopular data. In this way, they achieved bettertradeoff between the efficiency and security of theoutsourced data. Li et al. [12] addressed the key-management issue in block-level deduplication bydistributing these keys across multiple servers afterencrypting the files.

Convergent Encryption. Convergent encryption [8]ensures data privacy in deduplication. Bellare et al. [4]formalized this primitive as message-locked encryption,and explored its application in space-efficient secureoutsourced storage. Xu et al. [23] also addressed theproblem and showed a secure convergent encryptionfor efficient encryption, without considering issues ofthe key-management and block-level deduplication.There are also several implementations of convergentimplementations of different convergent encryptionvariants for secure deduplication (e.g., [2], [18], [21],[22]). It is known that some commercial cloud storageproviders, such as Bitcasa, also deploy convergentencryption.

Proof of ownership. Halevi et al. [11] proposed thenotion of “proofs of ownership” (PoW) for deduplicationsystems, such that a client can efficiently prove to thecloud storage server that he/she owns a file withoutuploading the file itself. Several PoW constructionsbased on the Merkle-Hash Tree are proposed [11] toenable client-side deduplication, which include thebounded leakage setting. Pietro and Sorniotti [16]proposed another efficient PoW scheme by choosingthe projection of a file onto some randomly selectedbit-positions as the file proof. Note that all the aboveschemes do not consider data privacy. Recently, Nget al. [15] extended PoW for encrypted files, but theydo not address how to minimize the key managementoverhead.

Twin Clouds Architecture. Recently, Bugiel et al. [7]provided an architecture consisting of twin clouds forsecure outsourcing of data and arbitrary computationsto an untrusted commodity cloud. Zhang et al. [25]also presented the hybrid cloud techniques to supportprivacy-aware data-intensive computing. In our work,we consider to address the authorized deduplicationproblem over data in public cloud. The security modelof our systems is similar to those related work, wherethe private cloud is assume to be honest but curious.

9 CONCLUSION

In this paper, the notion of authorized data dedupli-cation was proposed to protect the data security byincluding differential privileges of users in the duplicatecheck. We also presented several new deduplicationconstructions supporting authorized duplicate check inhybrid cloud architecture, in which the duplicate-checktokens of files are generated by the private cloud serverwith private keys. Security analysis demonstrates thatour schemes are secure in terms of insider and outsiderattacks specified in the proposed security model. As aproof of concept, we implemented a prototype of ourproposed authorized duplicate check scheme and con-duct testbed experiments on our prototype. We showedthat our authorized duplicate check scheme incurs min-imal overhead compared to convergent encryption andnetwork transfer.

ACKNOWLEDGEMENTS

This work was supported by National Natural ScienceFoundation of China (NO.61100224 and NO.61272455),GRF CUHK 413813 from the Research Grant Councilof Hong Kong, Distinguished Young Scholars Fund ofDepartment of Education(No. Yq2013126), GuangdongProvince, China. Besides, Lou’s work is supported byUS National Science Foundation under grant (CNS-1217889).

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Jin Li received his B.S. (2002) in Mathemat-ics from Southwest University. He got his Ph.Ddegree in information security from Sun Yat-sen University at 2007. Currently, he works atGuangzhou University as a professor. He hasbeen selected as one of science and technologynew star in Guangdong province. His researchinterests include Applied Cryptography and Se-curity in Cloud Computing. He has publishedover 70 research papers in refereed internationalconferences and journals and has served as the

program chair or program committee member in many internationalconferences.

Yan Kit Li received the BEng. Degree in Com-puter Engineering from the Chinese Universityof Hong Kong in 2012. Currently he is an M.Phil.student of the Department of Computer Sci-ence and Engineering at the same school. Hisresearch interests including deduplication anddistributed storage.

Xiaofeng Chen received his B.S. and M.S. onMathematics in Northwest University, China. Hegot his Ph.D degree in Cryptography from XidianUniversity at 2003. Currently, he works at XidianUniversity as a professor. His research interestsinclude applied cryptography and cloud comput-ing security. He has published over 100 researchpapers in refereed international conferences andjournals. He has served as the program/generalchair or program committee member in over 20international conferences.

Patrick P. C. Lee received the B.Eng. degree(first-class honors) in Information Engineeringfrom the Chinese University of Hong Kong in2001, the M.Phil. degree in Computer Scienceand Engineering from the Chinese Universityof Hong Kong in 2003, and the Ph.D. degreein Computer Science from Columbia Universityin 2008. He is now an assistant professor ofthe Department of Computer Science and En-gineering at the Chinese University of HongKong. His research interests are in various ap-

plied/systems topics including cloud computing and storage, distributedsystems and networks, operating systems, and security/resilience.

Wenjing Lou received a B.S. and an M.S. inComputer Science and Engineering at Xi’anJiaotong University in China, an M.A.Sc. in Com-puter Communications at the Nanyang Tech-nological University in Singapore, and a Ph.D.in Electrical and Computer Engineering at theUniversity of Florida. She is now an associateprofessor in the Computer Science departmentat Virginia Polytechnic Institute and State Uni-versity.