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13 August 2014

Máté Horváth
ePrint Report ePrint Report
In this work, we aim to make attribute-based encryption (ABE) more suitable for access control to data stored in the cloud. For this purpose, we concentrate on giving to the encryptor full control over the access rights, providing feasible key management even in case of multiple independent authorities, and enabling viable user revocation, which is essential in practice.

Our main result is an extension of the decentralized CP-ABE scheme of Lewko and Waters with identity-based user revocation. Our revocation system is made feasible by removing the computational burden of a revocation event from the cloud service provider, at the expense of some permanent, yet acceptable overhead of the encryption and decryption algorithms run by the users. Thus, the computation overhead is distributed over a potentially large number of users, instead of putting it on a single party (e.g., a proxy server), which would easily lead to a performance bottleneck.

Besides describing our scheme, we also give a formal proof of its security in the generic bilinear group and random oracle models.

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Gordon Procter
ePrint Report ePrint Report
This note contains a security reduction to demonstrate that Langley\'s composition of Bernstein\'s ChaCha20 and Poly1305, as proposed for use in IETF protocols, is a secure authenticated encryption scheme.

The reduction assumes that ChaCha20 is a PRF, that Poly1305 is epsilon-almost-Delta-universal, and that the adversary is nonce respecting.

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Zhiquan Lv, Cheng Hong, Min Zhang, Dengguo Feng
ePrint Report ePrint Report
Searchable encryption allows an untrusted server to search

on encrypted data without knowing the underlying data contents. Traditional searchable encryption schemes focus only on single keyword or conjunctive keyword search. Several solutions have been recently proposed to design more expressive search criteria, but most of them are in the setting of symmetric key encryption. In this paper, based on the

composite-order groups, we present an expressive and secure asymmetric

searchable encryption (ESASE) scheme, which is the first that simultaneously supports conjunctive, disjunctive and negation search operations. We analyze the efficiency of ESASE and prove it is secure under the standard model. In addition, we show that how ESASE could be extended to support the range search and the multi-user setting.

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Nishanth Chandran, Wutichai Chongchitmate, Juan A. Garay, Shafi Goldwasser, Rafail Ost
ePrint Report ePrint Report
Secure multi-party computation (MPC) has been thoroughly studied over the past decades. The vast majority of works assume a full communication pattern: every party exchanges messages with all the network participants over a complete network of point-to-point channels. This can be problematic in modern large scale networks, where the number of parties can be of the order of millions, as for example when computing on large distributed data.

Motivated by the above observation, Boyle, Goldwasser, and Tessaro [TCC 2013] recently put forward the notion of communication locality, namely, the total number of point-to-point channels that each party uses in the protocol, as a quality metric of MPC protocols. They proved that assuming a public-key infrastructure (PKI) and a common reference string (CRS), an MPC protocol can be constructed for computing any n-party function, with communication locality O(log^c n) and round complexity O(log^{c\'} n), for appropriate constants c and c\'. Their protocol tolerates a static (i.e., non-adaptive) adversary corrupting up to t < (1/3- e) n parties for any given constant 0 < e < 1/3 . These results leave open the following questions:

(1) Can we achieve low communication locality and round complexity while tolerating adaptive adversaries? (2) Can we achieve low communication locality with optimal resiliency t < n/2?

In this work we answer both questions affirmatively. First, we consider the model from [TCC 2013], where we replace the CRS with a symmetric-key infrastructure (SKI). In this model we give a protocol with communication locality and round complexity polylog(n) (as in the [TCC 2013] work) which tolerates up to t < n/2 adaptive corruptions, under a standard intractability assumption for adaptively secure protocols, namely, the existence of trapdoor permutations whose domain has invertible sampling. This is done by using the SKI to derive a sequence of random hidden communication graphs among players. A central new technique then shows how to use these graphs to emulate a complete network in polylog(n) rounds while preserving the polylog(n) locality. Second, we show how we can even remove the SKI setup assumption at the cost, however, of increasing the communication locality (but not the round complexity) by a factor of \\sqrt{n}.

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zhen Liu, Duncan S. Wong
ePrint Report ePrint Report
In Ciphertext-Policy Attribute-Based Encryption (CP-ABE), a user\'s decryption key is associated with attributes which in general are not related to the user\'s identity, and the same set of attributes could be shared between multiple users. From the decryption key, if the user created a decryption blackbox for sale, this malicious user could be difficult to identify from the blackbox. Hence in practice, a useful CP-ABE scheme should have some tracing mechanism to identify this `traitor\' from the blackbox. In addition, being able to revoke compromised keys is also an important step towards practicality, and for scalability, the scheme should support an exponentially large number of attributes. However, none of the existing traceable CP-ABE schemes supports revocation or large attribute universe. In this paper, we construct the first practical CP-ABE which possesses these three important properties: (1) blackbox traceability, (2) revocation, and (3) supporting large universe.

When compared with the latest traceable CP-ABE schemes, this new scheme achieves the same efficiency level, enjoying the sub-linear overhead of $O(\\sqrt{N})$, where $N$ is the number of users in the system, and attains the same security level, namely, the fully collusion-resistant traceability against policy-specific decryption blackbox, which is proven against selective adversaries in the standard model.

The scheme also supports large attribute universe, and attributes do not need to be pre-specified during the system setup. It is highly expressive and can take any monotonic access structures as ciphertext policies.

We also present the analogous results in the Key-Policy Attribute-Based Encryption (KP-ABE) setting, where users\' description keys are described by access policies and ciphertexts are associated with attributes.

We construct the first practical KP-ABE which possesses the three important properties: (1) blackbox traceability, (2) revocation, and (3) supporting large universe.

The scheme is highly expressive and can take any monotonic access structures as key policies,

and is efficient, namely, enjoys the sub-linear overhead of $O(\\sqrt{N})$ while supporting fully collusion-resistant blackbox traceability and revocation, and does not need to pre-specify the attributes during the system setup.

The scheme is proven selectively secure in the standard model.

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Michael Backes, Dario Fiore, Raphael M. Reischuk
ePrint Report ePrint Report
We study the problem of privacy-preserving proofs on authenticated data in which a party receives data from a trusted source and is requested to prove statements over the data to third parties in a correct and private way, i.e., the third party learns no information on the data but is still assured that the claimed proof is valid. Our work particularly focuses on the challenging requirement that the third party should be able to verify the validity with respect to the specific data authenticated by the source -- even without having access to that source. This problem is motivated by various scenarios emerging from several application areas such as wearable computing, smart metering, or general business-to-business interactions. Furthermore, these applications also demand any meaningful solution to satisfy additional properties related to usability and scalability. First, third parties should be able to check proofs very efficiently. Second, the trusted source should be independent of the data processor: it simply (and possibly continuously) provides data, e.g., without knowing which statements will be proven. This paper formalizes the above three-party model, discusses concrete application scenarios, and introduces a new cryptographic primitive for proving NP relations where statements are authenticated by trusted sources. After discussing a generic approach to construct this primitive, we present a more direct and efficient realization that supports general-purpose NP relations. Our realization significantly improves over state-of-the-art solutions for this model, such as those based on Pinocchio (Oakland\'13), by at least three orders of magnitude.

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Florian Böhl, Simon Greiner, Patrik Scheidecker
ePrint Report ePrint Report
We provide a proof of correctness and security of a two-party-computation protocol based on garbled circuits and oblivious transfer in the presence of a semi-honest sender. To achieve this we are the first to combine a machine-assisted proof of correctness with advanced cryptographic primitives to prove security properties of Java code. The machine-assisted part of the proof is conducted with KeY, an interactive theorem prover.

The proof includes a correctness result for the construction and evaluation of garbled circuits. This is particularly interesting since checking such an implementation by hand would be very tedious and error-prone. Although we stick to the secure two-party-computation of an n-bit AND in this paper, our approach is modular, and we explain how our techniques can be applied to other functions.

To prove the security of the protocol for an honest-but-curious sender and an honest receiver, we use the framework presented by Kuesters et al. for the cryptographic verification of Java programs. As part of our work, we add oblivious transfer to the set of cryptographic primitives supported by the framework. This is a general contribution beyond our results for concrete Java code.

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Mohammad Sadegh Nemati Nia, Ali Payandeh
ePrint Report ePrint Report
SNOW 2.0 is a word oriented stream cipher that has been selected as a standard stream cipher on ISO/IEC 18033-4. One of the general attacks on the stream ciphers is Guess and Determine attack. Heuristic GD attack is GD attack that represents an algorithmic method to analysis the stream cipher with the variables of the same size. The results of HGD attack on TIPSY, SNOW 1.0 and SNOW 2.0 stream ciphers led to less complexity rather than previously known GD attacks. In this paper, the authors use of two auxiliary polynomials to improve HGD attack on SNOW 2.0. This attack reduces the complexity and the size of the guessed basis from O (2265) to O (2192) and 8 to 6, respectively, compared with previous ad-hoc and heuristic GD attacks.

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Isaiah Makwakwa
ePrint Report ePrint Report
M3dcrypt is a password authentication scheme built around the ad-

vanced Ecryption Standard (AES) and the arcfour pseudorandom func-

tion. It uses up to 256-bit pseudorandom salt values and supports 48-byte passwords.

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Michael Backes, Aniket Kate, Sebastian Meiser, Esfandiar Mohammadi
ePrint Report ePrint Report
In this paper we present MATor: a framework for rigorously assessing the degree of anonymity in the Tor network. The framework explicitly addresses how user anonymity is impacted by real-life characteristics of actually deployed Tor, such as its path selection algorithm, Tor consensus data, and the preferences and the connections of the user. The anonymity assessment is based on rigorous anonymity bounds that are derived in an extension of the AnoA framework (IEEE CSF 2013). We show how to apply MATor on Tor\'s publicly available consensus and server descriptor data, thereby realizing the first real-time anonymity monitor. Based on experimental evaluations of this anonymity monitor on Tor Metrics data, we propose an alternative path selection algorithm that provides stronger anonymity guarantees without decreasing the overall performance of the Tor network.

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Sanjam Garg, Craig Gentry, Shai Halevi, Mark Zhandry
ePrint Report ePrint Report
We construct the first fully secure attribute based encryption (ABE) scheme that can handle access control policies expressible as polynomial-size circuits. Previous ABE schemes for general circuits were proved secure only in an unrealistic selective security model, where the adversary is forced to specify its target before seeing the public parameters, and full security could be obtained only by complexity leveraging, where the reduction succeeds only if correctly guesses the adversary\'s target string x*, incurring a 2^{|x^*|} loss factor in the tightness of the reduction.

At a very high level, our basic ABE scheme is reminiscent of Yao\'s garbled circuits, with 4 gadgets per gate of the circuit, but where the decrypter in our scheme puts together the appropriate subset of gate gadgets like puzzle pieces by using a cryptographic multilinear map to multiply the pieces together. We use a novel twist of Waters\' dual encryption methodology to prove the full security of our scheme. Most importantly, we show how to preserve the delicate information-theoretic argument at the heart of Waters\' dual system by enfolding it in an information-theoretic argument similar to that used in Yao\'s garbled circuits.

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Yevgeniy Dodis, Yanqing Yao
ePrint Report ePrint Report
We revisit the impossibility of a variety of cryptographic tasks including privacy and differential privacy with imperfect randomness. For traditional notions of privacy, such as security of encryption, commitment or secret sharing schemes, dramatic impossibility results are known [MP90,DOPS04]. In fact, they are true even if the imperfect source is modeled as a seemingly very \"nice and friendly\" Santha-Vazirani (SV) source. The SV source outputs a sequence of bits r_1,r_2,..., where each r_i has almost 1 full bit of fresh entropy conditioned on the previous bits r_1,...,r_{i-1}. Moreover, Bosley and Dodis [BD07] gave strong evidence that many traditional privacy tasks (e.g., encryption) inherently require an \"extractable\" source of randomness.

The common interpretation of these negative results is that traditional privacy is impossible even with \"very structured\" imperfect sources. Somewhat surprisingly, Dodis et al. [DLMV12] put a slight dent in this belief, by showing that non-trivial *differential* privacy is possible with SV sources. This suggested a qualitative gap between traditional and differential privacy, and left open the question if differential privacy is possible with more realistic (i.e., less structured) sources than the SV sources. Motivated by solving this question, we abstract and generalize prior techniques for showing impossibility results for achieving privacy with various imperfect sources of randomness. In particular, we introduce the concepts of separability and expressivity of a given imperfect source as a measure of its \"imperfectness\", and show the

following results:

(1) Separability implies expressivity;

(2) Low levels of expressivity (and, thus, separability) generically imply strong impossibility results for both traditional and *differential* privacy;

(3) Existing (and quantitatively improved!) impossibility results for traditional privacy with respect to known imperfect sources easily follow as corollaries of our unified framework; New results follow equally easily.

(4) Although, unsurprisingly, our new impossibility results for differential privacy (barely) miss the highly structured SV sources, they come back *extremely quickly* once the source becomes slightly more realistic. E.g., if a small number of bits r_i can be fully determined by the previous bits;

(5) Any imperfect source allowing (either traditional or differential) privacy admits a certain type of deterministic bit extraction. (This result is incomparable to the result of [BD07].)

Overall, our results unify and strengthen the belief that, for the most part, privacy with imperfect randomness is impossible, unless the source is (almost) deterministically extractable.

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Jinsheng Zhang, Qiumao Ma, Wensheng Zhang, Daji Qiao
ePrint Report ePrint Report
This paper proposes KT-ORAM, a new hybrid ORAM-PIR construction, to preserve a client\'s access pattern to his/her outsourced data. The construction organizes the server storage as a $k$-ary tree with each node acting as a fully-functional PIR storage, and adopts a novel \\emph{delayed eviction} technique to optimize the eviction process. KT-ORAM is proved to preserve the data access pattern privacy with a negligibly-small failure probability of $O(N^{-\\log N})$. KT-ORAM requires only a constant-size local storage at the client side, and has an asymptotical communication cost of $O(\\frac{\\log^2 N}{\\log\\log N})$ (the best known asymptotical result of ORAM~\\cite{Kush12}) when $k=\\log N$. The communication cost of KT-ORAM is also compared with two state-of-the-art ORAM constructions, B-ORAM~\\cite{Kush12} and P-PIR~\\cite{MaBl14}, which share the same assumption of constant-size client-side storage as KT-ORAM, in practical scenarios. The results show that, KT-ORAM outperforms these constructions.

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Heeyeon Joo, Myungsun Kim
ePrint Report ePrint Report
Web search is increasingly becoming an essential activity as it is frequently the most effective and convenient way of finding information. However, it can be a threat for the privacy of users because their queries may reveal their sensitive information. Private web search (PWS) solutions allow users to find information in the Internet while preserving their privacy. In particular, cryptography-based PWS (CB-PWS) systems provide strong privacy guarantees.

This paper introduces a constant-round CB-PWS protocol which remains computationally efficient, compared to known CB-PWS systems. Our construction is comparable to similar solutions regarding users\' privacy.

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Kenji Yasunaga, Kosuke Yuzawa
ePrint Report ePrint Report
Fuller et.~al (Asiacrypt 2013) studied on computational fuzzy extractors,

and showed, as a negative result, that the existence of a computational ``secure sketch\'\'

implies the existence of an information-theoretically secure sketch with slightly weaker parameters.

In this work, we show a similar negative result such that, under some computational assumption,

the existence of a computational fuzzy extractor also implies the existence of

an information-theoretic fuzzy extractor with slightly weaker parameters.

The assumption is that the generation procedure of the fuzzy extractor can be efficiently invertible.

This result implies that to circumvent the limitations of information-theoretic fuzzy extractors,

we need to employ computational fuzzy extractors in which the generation procedure cannot be efficiently invertible.

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Xiaojun Yu, Qiaoyan Wen
ePrint Report ePrint Report
In order to satisfy the different requirements of provable data possession in cloud computing, a multi-function provable data possession (MF-PDP) is proposed, which supports public verification, data dynamic, unlimited times verification, sampling verification. Besides, it is security in RO model and it is verification privacy under half trust model and can prevent from replacing attack and replay attack. The detail design is provided and the theory analysis

about the correct, security and performance are also described. The experiment emulation and compare analysis suggest the feasibility and advantage.

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Daniel Slamanig, Raphael Spreitzer, Thomas Unterluggauer
ePrint Report ePrint Report
Group signatures, which allow users of a group to anonymously produce signatures on behalf of the group, are an important cryptographic primitive for privacy-enhancing applications. Over the years, various approaches to enhanced anonymity management mechanisms, which extend the standard feature of opening of group signatures, have been proposed.

In this paper we show how pairing-based group signature schemes (PB-GSSs) based on the sign-and-encrypt-and-prove (SEP) paradigm can be generically transformed in order to support one particular enhanced anonymity management mechanism, i.e., we propose a transformation that turns every such PB-GSS into a PB-GSS with controllable linkability. Basically, this transformation replaces the public key encryption scheme used for identity escrow within a group signature scheme with a modified all-or-nothing public key encryption with equality tests scheme (denoted AoN-PKEET$^*$) instantiated from the respective public key encryption scheme. Thereby, the respective trapdoor is given to the linking authority as a linking key. The appealing benefit of this approach in contrast to other anonymity management mechanisms (such as those provided by traceable signatures) is that controllable linkability can be added to PB-GSSs based on the SEP paradigm for free, i.e., it neither influences the signature size nor the computational costs for signers and verifiers in comparison to the scheme without this feature.

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Ferucio Laurentiu Tiplea, Constantin Catalin Dragan
ePrint Report ePrint Report
We propose the first Key-policy Attribute-based Encryption (KP-ABE) scheme for (monotone) Boolean circuits based on bilinear maps. The construction is based on secret sharing and just one bilinear map, and can be viewed as an extension of the KP-ABE scheme in [7]. Selective security of the proposed scheme in the standard model is proved, and comparisons with the scheme in [5] based on leveled multilinear maps, are provided. Thus, for Boolean circuits representing multilevel access structures, our KP-ABE scheme is more efficient than the one in [5].

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Michel Abdalla, Fabrice Benhamouda, David Pointcheval
ePrint Report ePrint Report
In this paper, we propose a simple and efficient password-only authenticated key exchange (PAKE) protocol with a proof of security in the standard model. In its most efficient instantiation, the new protocol has only two flows of communication and a total of 7 group elements and its proof of security is based on the plain DDH assumption. To achieve this goal, we first propose a variant of the Gennaro-Lindell/Katz-Ostrovsky-Yung (GL/KOY) PAKE protocol, in which the encryption schemes used to generate the first- and second-flow messages are only required to be semantically secure against plaintext-checking attacks (IND-PCA) and chosen-plaintext attacks (IND-CPA), respectively. Unlike semantic security against chosen-ciphertext attacks (IND-CCA), an IND-PCA adversary is only given access to an oracle which says whether or not a given ciphertext encrypts a given message. Next, we design a more efficient variant of the Cramer-Shoup encryption scheme with shorter ciphertexts together with an associated hash proof system and we prove its IND-PCA security under the plain DDH assumption. We believe that the new IND-PCA scheme is of independent interest, since it yields, in particular, the most efficient IND-CCA encryption scheme under plain DDH for small messages.

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11 August 2014

Tarik Moataz, Erik-Oliver Blass, Guevara Noubir
ePrint Report ePrint Report
We present a general construction to reduce the communication cost of recent tree-based ORAMs. Contrary to trees with constant height and path lengths, our new construction r-ORAM provides varying, shorter path lengths. Accessing an element in the ORAM tree will have different communication cost depending on the location of the element. The main idea behind r-ORAM is a recursive ORAM tree structure, where nodes in the tree are roots of other trees. While this approach results in a worst-case access cost (tree height) at most as any recent tree-based ORAM, we demonstrate that the expected cost saving is around 35% for binary tree ORAMs. For a k-ary tree-based ORAM, we still can reduce cost with r-ORAM, e.g., 20% for k =4. Besides reducing communication cost, r-ORAM also reduces storage overhead on the server by 20%. To prove r-ORAM\'s soundness, we conduct a detailed overflow analysis. We stress that r-ORAM is general and can be applied to all recent tree ORAMs, both constant memory or poly-log client memory ORAMs.

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