International Association for Cryptologic Research

International Association
for Cryptologic Research

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20 August 2013

San Francisco, USA, February 24 - February 28
Event Calendar Event Calendar
Submission: 5 September 2013
Notification: 31 October 2013
From February 24 to February 28
Location: San Francisco, USA
More Information: http://research.microsoft.com/en-us/um/redmond/events/CT-RSA-2014/cfp.htm
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19 August 2013

Chalmers University of Technology, Sweden
Job Posting Job Posting
We are looking for an excellent, motivated, self-driven post-doctoral researcher to work in the area of cryptography with a focus on privacy-preserving biometrics. More precisely, the researcher will be employed in the European FP7 project BEAT (Biometric Evaluation and Testing). The researcher is expected to investigate and analyse the security and privacy of existing privacy-preserving biometric authentication systems against different types of attacks and propose new ones robust to the identified weaknesses.

Some info about the BEAT research project can be found here: http://www.beat-eu.org

More info about the research of the group can be found here: http://lasecwww.epfl.ch/~katerina/Publications.html

The employment is limited to 1 year and may be extended to 1 more year.

The applicant should have Ph.D. degree preferably in information security, computer science, cryptography or equivalent by the start of the appointment. Experience in security communication protocols, provable security, homomorphic encryption, zero-knowledge proofs, privacy-preservation and biometric authentication is highly valued.

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Queensland University of Technology, Brisbane, Australia
Job Posting Job Posting

The cryptography group in the Information Security discipline at the Queensland University of Technology (QUT) in Brisbane, Australia, invites applications for PhD students starting in 2014 in various aspects of cryptographic protocols and algorithms. We are always interested in taking on new research students with appropriate background knowledge and an interest in challenging problems in the area.

Research interests of the group include:

  • design and cryptanalysis of stream ciphers
  • elliptic curves and pairings; identity-based cryptography
  • lattice-based cryptography
  • design and analysis of key exchange protocols
  • real-world Internet cryptography protocols

Interested students should contact one of the potential supervisors (Emeritus Professor Ed Dawson, Associate Professor Xavier Boyen, Dr Leonie Simpson, Dr Douglas Stebila) to discuss the availability of a suitable project. For these projects students will be expected to have a strong mathematical and computer science background. Previous experience in cryptography and networking is an advantage.

QUT offers competitive scholarships for living expenses and tuition fee waivers to support domestic and international PhD students. Applications for admission are accepted year-round, but the deadline for the annual scholarship competition is Sunday 13 October 2013.

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17 August 2013

Ignacio Cascudo, Ronald Cramer, Diego Mirandola, Carles Padro, Chaoping Xing
ePrint Report ePrint Report
Multiplicative linear secret sharing is a fundamental notion in the area of secure multi-party computation (MPC) and,

since recently, in the area of two-party cryptography as well. In a nutshell, this notion guarantees that

``the product of two secrets is obtained as a linear function of the vector consisting of the

coordinate-wise product of two respective share-vectors\'\'. This paper focuses on the following foundational question, which is novel to the best of our knowledge. Suppose we {\\em abandon the latter linearity condition} and instead require that this product is obtained by {\\em some},

not-necessarily-linear ``product reconstruction function\'\'. {\\em Is the resulting notion equivalent to

multiplicative linear secret sharing?} We show the (perhaps somewhat counter-intuitive) result that this relaxed notion is strictly {\\em more general}.

Concretely, fix a finite field $\\FF_q$ as the base field $\\FF_q$ over which linear secret sharing is considered.

Then we show there exists an (exotic) linear secret sharing scheme with an unbounded number of players $n$

such that it has $t$-privacy with $t\\approx \\sqrt{n}$

and such that it does admit a product reconstruction function, yet this function is {\\em necessarily} nonlinear. Our proof is based on

combinatorial arguments involving bilinear forms. It extends to similar separation results for important variations,

such as strongly multiplicative secret sharing.

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Reza Azarderakhsh, Koray Karabina
ePrint Report ePrint Report
Efficient implementation of double point multiplication is crucial for elliptic curve cryptographic systems. We revisit three recently proposed simultaneous double point multiplication algorithms. We propose hardware architectures for these algorithms, and provide a comparative analysis of their performance. We implement the proposed architectures on Xilinx Virtex-4 FPGA, and report on the area and time results . Our results indicate that differential addition chain based algorithms are better suited to compute double point multiplication over binary elliptic curves for both high performance and resource constrained applications.

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Zhengjun Cao, Lihua Liu
ePrint Report ePrint Report
In 2009, Seo et al. proposed an anonymous hierarchical identity-based

encryption (IBE). The ciphertext consists of $(C_1, C_2, C_3, C_4)$, where $C_1$ is the blinded message, $C_4$ is the blinded identity,

both $C_2$ and $C_3$ are used as decrypting helpers. To prove its security, the authors defined five games and introduced a strong simulator who is able to select different Setups for those games.

In this paper, we optimize the IBE scheme by removing one decrypting helper and the strong simulator. We show its security under the $\\ell$-computational Diffie-Hellman assumption with a normal simulator who only requires a unique Setup.

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Pablo Rauzy, Sylvain Guilley
ePrint Report ePrint Report
In this article, we describe a methodology that aims at either breaking or proving the security of CRT-RSA algorithms against fault injection attacks. In the specific case-study of BellCoRe attacks, our work bridges a gap between formal proofs and implementation-level attacks. We apply our results to three versions of CRT-RSA, namely the naive one, that of Shamir, and that of Aumüller et al. Our findings are that many attacks are possible on both the naive and the Shamir implementations, while the implementation of Aumüller et al. is resistant to all fault attacks with one fault. However, we show that the countermeasure is not minimal, since two tests out of seven are redundant and can simply be removed.

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Eli Ben-Sasson, Alessandro Chiesa, Daniel Genkin, Eran Tromer, Madars Virza
ePrint Report ePrint Report
An argument system for NP is a proof system that allows efficient verification of NP statements, given proofs produced by an untrusted yet computationally-bounded prover. Such a system is non-interactive and publicly-verifiable if, after a trusted party publishes a proving key and a verification key, anyone can use the proving key to generate non-interactive proofs for adaptively-chosen NP statements, and proofs can be verified by anyone by using the verification key.

We present an implementation of a publicly-verifiable non-interactive argument system for NP. The system, moreover, is a zero-knowledge proof-of-knowledge. It directly proves correct executions of programs on TinyRAM, a random-access machine tailored for efficient verification of nondeterministic computations. Given a program $P$ and time bound T, the system allows for proving correct execution of $P$, on any input $x$, for up to T steps, after a one-time setup requiring $\\tilde{O}(|P| T)$ cryptographic operations. An honest prover requires $\\tilde{O}(|P| \\cdot T)$ cryptographic operations to generate such a proof, while proof verification can be performed with only $O(|x|)$ cryptographic operations. This system can be used to prove the correct execution of C programs, using our TinyRAM port of the GCC compiler.

This yields a zero-knowledge Succinct Non-interactive ARgument of Knowledge (zk-SNARK) for program executions in the preprocessing model -- a powerful solution for delegating NP computations, with several features not achieved by previously-implemented primitives.

Our approach builds on recent theoretical progress in the area. We present efficiency improvements and implementations of two main ingredients:

* Given a C program, we produce a circuit whose satisfiability encodes the correctness of execution of the program. Leveraging nondeterminism, the generated circuit\'s size is merely quasilinear in the size of the computation. In particular, we efficiently handle arbitrary and data-dependent loops, control flow, and memory accesses. This is in contrast with existing ``circuit generators\'\', which in the general case produce circuits of quadratic size.

* Given a linear PCP for verifying satisfiability of circuits, we produce a corresponding SNARK. We construct such a linear PCP (which, moreover, is zero-knowledge and very efficient) by building on and improving on recent work on quadratic arithmetic programs.

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Raluca Ada Popa, Nickolai Zeldovich
ePrint Report ePrint Report
We construct a searchable encryption scheme that enables keyword search over data encrypted with {\\em different} keys. The scheme is practical and was designed to be included in a new system for protecting data confidentiality in client-server applications against attacks on the server.

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Susan Hohenberger, Amit Sahai, Brent Waters
ePrint Report ePrint Report
Our main result gives a way to instantiate the

random oracle with a concrete hash function in

\"full domain hash\" applications.

The term full domain hash was first proposed by Bellare and

Rogaway and referred to a signature scheme from any

trapdoor permutation that was part of their seminal work introducing

the random oracle heuristic. Over time the term full domain hash has

informally encompassed a broader range of notable cryptographic

schemes including the Boneh-Franklin IBE scheme and

Boneh-Lynn-Shacham (BLS) signatures.

All of the above described schemes required a hash function that had

to be modeled as a random oracle to prove security. Our work utilizes

recent advances in indistinguishability obfuscation to construct

specific hash functions for use in these schemes. We then prove

security of the original cryptosystems when instantiated with

our specific hash function.

Of particular interest, our work evades the impossibility result of

Dodis, Oliveira, and Pietrzak, who showed that there can

be no black-box construction of hash functions that allow Full-Domain

Hash Signatures to be based on trapdoor permutations. This indicates

that our techniques applying indistinguishability obfuscation may be

useful in the future for circumventing other such black-box

impossibility proofs.

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Johannes Buchmann, Daniel Cabarcas, Florian Göpfert, Andreas Hülsing, Patrick W
ePrint Report ePrint Report
Several lattice-based cryptosystems require to sample from a discrete Gaussian distribution over the integers. Existing methods to sample from such a distribution either need large amounts of memory or they are very slow. In this paper we explore a different method that allows for a flexible time-memory trade-off, offering developers freedom in choosing how much space they can spare to store precomputed values. We prove that the generated distribution is close enough to a discrete Gaussian to be used in lattice-based cryptography. Moreover, we report on an implementation of the method and compare its performance to existing methods from the literature. We show that for large standard deviations, the Ziggurat algorithm outperforms all existing methods.

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Siavash Ahmadi, Zahra Ahmadian, Javad Mohajeri, and Mohammad Reza Aref
ePrint Report ePrint Report
In this paper, we present a framework for biclique cryptanalysis of block ciphers with an extremely low data complexity. To that end, we enjoy a new representation of biclique attack. Then an algorithm for choosing two dierential characteristics is also presented to simultaneously minimize the data complexity and control the computational complexity.

Then we characterize those block ciphers that are vulnerable to this technique and among them, we apply this attack on lightweight block ciphers Piccolo-80, Piccolo-128 and HIGHT. The data complexities of these attacks are considerably less than the existing results. For full-round Piccolo-80 and 128, the data complexity of the attacks are only 16

plaintext-ciphertext pairs and for full-round HIGHT our attack requires

256 pairs. In all attacks the computational complexity remains the same

as the previous ones or even it is slightly improved.

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Jingguo Bi, Phong Q. Nguyen
ePrint Report ePrint Report
In a seminal work at EUROCRYPT \'96, Coppersmith showed how to find all small roots of a univariate polynomial congruence in polynomial time:

this has found many applications in public-key cryptanalysis and in a few security proofs.

However, the running time of the algorithm is a high-degree polynomial,

which limits experiments:

the bottleneck is an LLL reduction of a high-dimensional matrix with extra-large coefficients.

We present in this paper a polynomial speedup over Coppersmith\'s algorithm.

Our improvement is based on a special property of the matrices used by Coppersmith\'s algorithm,

which allows us to speed up the LLL reduction by rounding.

The exact speedup depends on the LLL algorithm used: for instance, the speedup is quadratic

in the bit-size of the small-root bound if one uses the Nguyen-Stehl\\\'e L^2 algorithm.

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15 August 2013

Kwangsu Lee, Dong Hoon Lee
ePrint Report ePrint Report
In this paper, we present an efficient public-key broadcast encryption (PKBE) scheme with sub-linear size of public keys, private keys, and ciphertexts and prove its adaptive security under standard assumptions. Compared with the currently best scheme that provides adaptive security under standard assumptions and sub-linear size of various parameters, the ciphertext size of our scheme is $94\\%$ shorter and the encryption algorithm of our scheme is also $2.8$ times faster than those of the currently best scheme.

To achieve our scheme, we adapt the dual system encryption technique of Waters. However, there is a challenging problem to use this technique for the construction of PKBE with sub-linear size of ciphertexts such as a tag compression problem. To overcome this problem, we first devise a novel tag update technique for broadcast encryption. Using this technique, we build an efficient PKBE scheme in symmetric bilinear groups, and prove its adaptive security under standard assumptions. After that, we build another PKBE scheme in asymmetric bilinear groups and also prove its adaptive security under simple assumptions.

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Constantinos Patsakis, Agusti Solanas
ePrint Report ePrint Report
The increasing demand for on-line collaborative applications has sparked the interest for multicast services, which in many cases have to guarantee properties such as authentication or confidentiality within groups of users.To do so, cryptographic protocols are generally used and the cryptographic keys, in which they rely, have to be managed (e.g. created, updated, distributed). The procedures to perform these operations are determined by the so-called Group Key Management Schemes. Many schemes have been proposed and some

of them have been proven to be vulnerable. This is the case of the Piao et al. scheme, whose scalability/efficiency is very good but it is vulnerable to many attacks because its security is based on a ``weak\'\' mathematical problem, so it can be broken in polynomial time.

Inspired by the concepts proposed in the Piao et al. scheme we have re-designed the protocol and we have founded it on a hard mathematical problem and tweaked some of the procedures. This way, we propose a new scheme that is efficient, collusion free, and provides backward and forward secrecy.

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Masoumeh Safkhani, Nasour Bagheri
ePrint Report ePrint Report
In this paper we present new constraints to EPCglobal Class 1 Generation 2 (EPC-C1 G2) standard which if they have been considered in the design of EPC-C1 G2 complaint authentication protocols, lead to prevent predecessor\'s protocols\' weaknesses and also present the secure ones. Also in this paper as an example, we use Pang \\textit{et al.} EPC-C1 G2-friendly protocol which has been recently proposed, to show our proposed constraints in EPC-C1 G2 standard. Pang \\textit{et al.}\'s protocol security analysis show how its security claim based on untraceability and resistance against de-synchronization attacks is ruined. More precisely, we present very efficient de-synchronization attack and traceability attack against the protocol. Finally, take Pang \\textit{et al.} protocol\'s vulnerability points, we present new conditions to design EPC-C1 G2 complaint protocols and based on it we propose a secure (EPC-C1 G2) RFID authentication scheme which is a good sample to EPC-C1 G2 complaint protocols.

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Vladimir Kolesnikov, Ranjit Kumaresan
ePrint Report ePrint Report
We propose an optimization and generalization of OT extension of Ishai et al. of Crypto 2003. For computational security parameter k, our OT extension for short secrets offers O(log k) factor performance improvement in communication and computation, compared to prior work. In concrete terms, for today\'s security parameters, this means approx. factor 2-3 improvement.

This results in corresponding improvements in applications relying on

such OT. In particular, for two-party semi-honest SFE, this results in O(log k) factor improvement in communication over state of the art Yao Garbled Circuit, and has the same asymptotic complexity as the recent multi-round construction of Kolesnikov and Kumaresan of SCN 2012. For multi-party semi-honest SFE, where their construction is inapplicable, our construction implies O(log k) factor communication and computation improvement over best previous constructions. As with our OT extension, for today\'s security parameters, this means approximately factor 2 improvement in semi-honest multi-party SFE.

Our building block of independent interest is a novel IKNP-based framework for 1-out-of-n OT extension, which offers O(log n) factor performance improvement over previous work (for n

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Anna Lisa Ferrara, George Fuchsbauer, Bogdan Warinschi
ePrint Report ePrint Report
Cryptographic access control promises to offer easily distributed trust and broader applicability, while reducing reliance on low-level online monitors. Traditional implementations of cryptographic access control rely on simple cryptographic primitives whereas recent endeavors employ primitives with richer functionality and security guarantees. Worryingly, few of the existing cryptographic access-control schemes come with precise guarantees, the gap between the policy specication and the implementation being analyzed only informally, if at all.

In this paper we begin addressing this shortcoming. Unlike prior work that targeted ad-hoc policy specification, we look at the well-established Role-Based Access Control (RBAC) model, as used in a

typical file system. In short, we provide a precise syntax for a computational version of RBAC, offer rigorous denitions for cryptographic policy enforcement of a large class of RBAC security policies, and demonstrate that an implementation based on attribute-based encryption meets our security notions.

We view our main contribution as being at the conceptual level. Although we work with RBAC for concreteness, our general methodology could guide future research for uses of cryptography in other

access-control models.

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Chunming Tang, Yanfeng Qi
ePrint Report ePrint Report
In this paper, we present a new class of semi-bent quadratic Boolean functions of the form $f(x)=\\sum_{i=1}^{\\lfloor\\frac{m-1}{2}\\rfloor}Tr^n_1(c_ix^{1+4^{i}})$ $~(c_i\\in \\mathbb{F}_4$,$n=2m)$. We first characterize the semi-bentness of these quadratic Boolean functions. There exists semi-bent functions only when $m$ is odd. For the case: $m=p^r$, where $p$ is an odd prime with some conditions, we enumerate the semi-bent functions. Further, we give a simple characterization of semi-bentness for these functions with linear properties of $c_i$. In particular, for

a special case of $p$, any quadratic Boolean function $f(x)=\\sum_{i=1}^{\\frac{p-1}{2}}Tr^{2p}_1(c_ix^{1+4^{i}})$ over $\\mathbb{F}_{2^{2p}}$ is a semi-bent function.

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Santanu Sarkar, Subhadeep Banik, Subhamoy Maitra
ePrint Report ePrint Report
The series of published works, related to Differential Fault Attack

(DFA) against the Grain family, require (i) quite a large number (hundreds) of faults (around $n \\ln n$, where $n = 80$ for Grain v1 and $n = 128$ for Grain-128, Grain-128a) and also (ii) several assumptions on location and timing of the fault injected. In this paper we present a significantly improved scenario from the adversarial point of view for DFA against the Grain family of stream ciphers. Our model is the most realistic one so far as it considers that the cipher to be re-keyed a very few times and fault can be injected at any random location and at any random point of time, i.e., no precise control is needed over the location and timing

of fault injections. We construct equations based on the algebraic description of the cipher by introducing new variables so that the degrees of the equations do not increase. In line of algebraic cryptanalysis, we accumulate such equations based on the fault-free and faulty key-stream bits and solve them using the SAT Solver

Cryptominisat-2.9.5 installed with SAGE 5.7. In a few minutes we can recover the state of Grain v1, Grain-128 and Grain-128a with as little as 10, 4 and 10 faults respectively (and may be improved further with more computational efforts).

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