3,350 research outputs found
Privacy-Preserving Shortest Path Computation
Navigation is one of the most popular cloud computing services. But in
virtually all cloud-based navigation systems, the client must reveal her
location and destination to the cloud service provider in order to learn the
fastest route. In this work, we present a cryptographic protocol for navigation
on city streets that provides privacy for both the client's location and the
service provider's routing data. Our key ingredient is a novel method for
compressing the next-hop routing matrices in networks such as city street maps.
Applying our compression method to the map of Los Angeles, for example, we
achieve over tenfold reduction in the representation size. In conjunction with
other cryptographic techniques, this compressed representation results in an
efficient protocol suitable for fully-private real-time navigation on city
streets. We demonstrate the practicality of our protocol by benchmarking it on
real street map data for major cities such as San Francisco and Washington,
D.C.Comment: Extended version of NDSS 2016 pape
Simple and Efficient FE for Quadratic Functions
This paper presents the first functional encryption schemes for quadratic functions (or degree-2 polynomials) achieving simulation-based security in the semi-adaptive model with constant-size secret key. The unique prior construction with the same security guarantee by Gay [PKC 20] has secret keys of size linear in the message size. They also enjoy shorter ciphertexts:
- our first scheme is based on bilateral DLIN (decisional linear) assumption as Gay\u27s scheme and the ciphertext is 15% shorter;
- our second scheme based on SXDH assumption and bilateral DLIN assumption is more efficient; it has 67% shorter ciphertext than previous SXDH-based scheme with selective indistinguishability security by Baltico et al. [CRYPTO 17]; the efficiency is comparable to their second scheme in the generic group model.
Technically, we roughly combine Wee\u27s ``secret-key-to-public-key\u27\u27 compiler [TCC 17] with Gay\u27s paradigm [PKC 20]. We avoid (partial) function-hiding inner-product functional encryption used in Gay\u27s work and make our schemes conceptually simpler
Forward-secure hierarchical predicate encryption
Secrecy of decryption keys is an important pre-requisite for security of any encryption scheme and compromised private keys must be immediately replaced. \emph{Forward Security (FS)}, introduced to Public Key Encryption (PKE) by Canetti, Halevi, and Katz (Eurocrypt 2003), reduces damage from compromised keys by guaranteeing confidentiality of messages that were encrypted prior to the compromise event. The FS property was also shown to be achievable in (Hierarchical) Identity-Based Encryption (HIBE) by Yao, Fazio, Dodis, and Lysyanskaya (ACM CCS 2004). Yet, for emerging encryption techniques, offering flexible access control to encrypted data, by means of functional relationships between ciphertexts and decryption keys, FS protection was not known to exist.\smallskip In this paper we introduce FS to the powerful setting of \emph{Hierarchical Predicate Encryption (HPE)}, proposed by Okamoto and Takashima (Asiacrypt 2009). Anticipated applications of FS-HPE schemes can be found in searchable encryption and in fully private communication. Considering the dependencies amongst the concepts, our FS-HPE scheme implies forward-secure flavors of Predicate Encryption and (Hierarchical) Attribute-Based Encryption.\smallskip Our FS-HPE scheme guarantees forward security for plaintexts and for attributes that are hidden in HPE ciphertexts. It further allows delegation of decrypting abilities at any point in time, independent of FS time evolution. It realizes zero-inner-product predicates and is proven adaptively secure under standard assumptions. As the ``cross-product" approach taken in FS-HIBE is not directly applicable to the HPE setting, our construction resorts to techniques that are specific to existing HPE schemes and extends them with what can be seen as a reminiscent of binary tree encryption from FS-PKE
Predictable arguments of knowledge
We initiate a formal investigation on the power of predictability for argument of knowledge systems for NP. Specifically, we consider private-coin argument systems where the answer of the prover can be predicted, given the private randomness of the verifier; we call such protocols Predictable Arguments of Knowledge (PAoK).
Our study encompasses a full characterization of PAoK, showing that such arguments can be made extremely laconic, with the prover sending a single bit, and assumed to have only one round (i.e., two messages) of communication without loss of generality.
We additionally explore PAoK satisfying additional properties (including zero-knowledge and the possibility of re-using the same challenge across multiple executions with the prover), present several constructions of PAoK relying on different cryptographic tools, and discuss applications to cryptography
The Secure Link Prediction Problem
Link Prediction is an important and well-studied problem for social networks.
Given a snapshot of a graph, the link prediction problem predicts which new
interactions between members are most likely to occur in the near future. As
networks grow in size, data owners are forced to store the data in remote cloud
servers which reveals sensitive information about the network. The graphs are
therefore stored in encrypted form.
We study the link prediction problem on encrypted graphs. To the best of our
knowledge, this secure link prediction problem has not been studied before. We
use the number of common neighbors for prediction. We present three algorithms
for the secure link prediction problem. We design prototypes of the schemes and
formally prove their security. We execute our algorithms in real-life datasets.Comment: This has been accepted for publication in Advances in Mathematics of
Communications (AMC) journa
Server-Aided Revocable Predicate Encryption: Formalization and Lattice-Based Instantiation
Efficient user revocation is a necessary but challenging problem in many
multi-user cryptosystems. Among known approaches, server-aided revocation
yields a promising solution, because it allows to outsource the major workloads
of system users to a computationally powerful third party, called the server,
whose only requirement is to carry out the computations correctly. Such a
revocation mechanism was considered in the settings of identity-based
encryption and attribute-based encryption by Qin et al. (ESORICS 2015) and Cui
et al. (ESORICS 2016), respectively.
In this work, we consider the server-aided revocation mechanism in the more
elaborate setting of predicate encryption (PE). The latter, introduced by Katz,
Sahai, and Waters (EUROCRYPT 2008), provides fine-grained and role-based access
to encrypted data and can be viewed as a generalization of identity-based and
attribute-based encryption. Our contribution is two-fold. First, we formalize
the model of server-aided revocable predicate encryption (SR-PE), with rigorous
definitions and security notions. Our model can be seen as a non-trivial
adaptation of Cui et al.'s work into the PE context. Second, we put forward a
lattice-based instantiation of SR-PE. The scheme employs the PE scheme of
Agrawal, Freeman and Vaikuntanathan (ASIACRYPT 2011) and the complete subtree
method of Naor, Naor, and Lotspiech (CRYPTO 2001) as the two main ingredients,
which work smoothly together thanks to a few additional techniques. Our scheme
is proven secure in the standard model (in a selective manner), based on the
hardness of the Learning With Errors (LWE) problem.Comment: 24 page
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