International Association for Cryptologic Research

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2015-03-19
09:17 [Pub][ePrint]

A fundamental primitive in distributed computing is Reliable Message Transmission (RMT), which refers to the task of correctly sending a message from a party to another, despite the presence of byzantine corruptions. In this work we address the problem in the general adversary model of Hirt and Maurer, which subsumes earlier models such as the global or local threshold adversaries. Regarding the topology knowledge, we employ the recently introduced Partial Knowledge Model [13], which encompasses both the full knowledge and the ad hoc model; the latter assumes knowledge of the local neighborhood only.

Our main contributions are: (a) a necessary and sufficient condition for achieving RMT in the partial knowledge model with a general adversary; in order to show sufficiency, we propose a protocol that solves RMT whenever this is possible, therefore the protocol is unique (cf.[14]), and (b) a study of efficiency in the special case of the ad hoc network model; we present a

unique protocol scheme that is fully polynomial for a class of instances, if there exists any fully polynomial protocol for RMT on the decomposition of this class to instances of a certain basic topology.

To obtain our results we employ, among others, an operation on adversary structures, an appropriate notion of separator in unreliable networks, and a self-reducibility property of the RMT problem.

09:17 [Pub][ePrint]

We introduce internal differential boomerang distinguisher as a combination of internal differentials and classical boomerang distinguishers. The new boomerangs can be successful against cryptographic primitives having high-probability round-reduced internal differential characteristics. The internal differential technique, which follow the evolution of differences between parts of the state, is particularly meaningful for highly symmetric functions like the inner permutation Keccak-f of the hash functions defined in the future SHA-3 standard.

We find internal differential and standard characteristics for three to four rounds of Keccak-f, and with the use of the new technique, enhanced with a strong message modification, show practical distinguishers for this permutation.

Namely, we need $2^{12}$ queries to distinguish 7 rounds of the permutation starting from the first round, and approximately $2^{18}$ queries to distinguish 8 rounds starting from the fourth round.

Due to the exceptionally low complexities, all of our results have been completely verified with a computer implementation of the analysis.

09:17 [Pub][ePrint]

The PRINCE cipher is the result of a cooperation between the Technical University of Denmark (DTU), NXP Semiconductors and the Ruhr University Bochum. The cipher was designed to reach an extremely low-latency encryption and instant response time. PRINCE has already gained a lot of attention from the academic community, however, most of the attacks are theoretical, usually with very high time or data complexity. Our work helps to fill the gap in more practically oriented attacks, with more realistic scenarios and complexities. We present new attacks, up to 7 rounds, relying on integral and higher-order differential cryptanalysis.

09:17 [Pub][ePrint]

We introduce \\emph{implicit zero-knowledge} arguments (iZK) and simulation-sound variants thereof (SSiZK); these are lightweight alternatives to zero-knowledge arguments for enforcing semi-honest behavior. Our main technical contribution is a construction of efficient two-flow iZK and SSiZK protocols for a large class of languages under the (plain) DDH assumption in cyclic groups in the common reference string model. As an application of iZK, we improve upon the round-efficiency of existing protocols for securely computing inner product under the DDH assumption. This new protocol in turn provides privacy-preserving biometric authentication with lower latency.

09:17 [Pub][ePrint]

Pairings are typically implemented using ordinary pairing-friendly elliptic curves. The two input groups of the pairing function are groups of elliptic curve points, while the target group lies in the multiplicative group of a large finite field. At moderate levels of security, at least two of the three pairing groups are necessarily proper subgroups of a much larger composite-order group, which makes pairing implementations potentially susceptible to small-subgroup attacks.

To minimize the chances of such attacks, or the effort required to thwart them, we put forward a property for ordinary pairing-friendly curves called subgroup security. We point out that existing curves in the literature and in publicly available pairing libraries fail to achieve this notion, and propose a list of replacement curves that do offer subgroup security. These curves were chosen to drop into existing libraries with minimal code change, and to sustain state-of-the-art performance numbers. In fact, there are scenarios in which the replacement curves could facilitate faster implementations of protocols because they can remove the need for expensive group exponentiations that test subgroup membership.

09:17 [Pub][ePrint]

Verifiably encrypted signatures (VES) are signatures encrypted by a public key of a trusted third party and we can verify their validity without decryption. This paper proposes a new VES scheme which is secure under the decisional linear (DLIN) assumption in the standard model. We also propose new obfuscators for encrypted signatures (ES) and encrypted VES (EVES) which are secure under the DLIN assumption.

All previous efficient VES schemes in the standard model are either secure under standard assumptions (such as the computational Diffie-Hellman assumption) with large verification (or secret) keys or secure under \\emph{(non-standard) dynamic $q$-type assumptions} (such as the $q$-strong Diffie-Hellman extraction assumption) with short verification keys. Our construction is the first efficient VES scheme with short verification (and secret) keys secure under \\emph{a standard assumption (DLIN)}.

As by-products of our VES scheme, we construct new obfuscators for ES/EVES based on our new VES scheme. They are more efficient than previous obfuscators with respect to the public key size. Previous obfuscators for EVES are secure under non-standard assumption and use zero-knowledge (ZK) proof systems and Fiat-Shamir heuristics to obtain non-interactive ZK, i.e., its security is considered in the random oracle model. Thus, our construction also has an advantage with respect to assumptions and security models. Our new obfuscator for ES is obtained from our new obfuscator for EVES.

09:17 [Pub][ePrint]

Inner-product encryption (IPE) provides fine-grained access control and has attractive applications. Agrawal, Freeman, and Vaikuntanathan~(Asiacrypt 2011) proposed the first IPE scheme from lattices by twisting the identity-based encryption (IBE) scheme by Agrawal, Boneh, and Boyen~(Eurocrypt 2010). Their IPE scheme supports inner-product predicates over $R^{\\mu}$, where the ring is $R = \\mathbb{Z}_q$. Several applications require the ring $R$ to be exponentially large and, thus, they set $q = 2^{O(n)}$ to implement such applications. This choice results in the AFV IPE scheme with public parameters of size $O(\\mu n^2 \\lg^3{q}) = O(\\mu n^5)$ and ciphertexts of size $O(\\mu n \\lg^3{q}) = O(\\mu n^4)$, where $n$ is the security parameter. Hence, this makes the scheme impractical, as they noted.

We address this efficiency issue by untwisting\'\' their twist and providing another twist. Our scheme supports inner-product predicates over $R^\\mu$ where $R = \\mathrm{GF}(q^n)$ instead of $\\mathbb{Z}_q$. Our scheme has public parameters of size $O(\\mu n^2 \\lg^2{q})$ and ciphertexts of size $O(\\mu n \\lg^2{q})$. Since the cardinality of $\\mathrm{GF}(q^n)$ is inherently exponential in $n$, we have no need to set $q$ as the exponential size for applications.

As side contributions, we extend our IPE scheme to a hierarchical IPE (HIPE) scheme and propose a fuzzy IBE scheme from IPE. Our HIPE scheme is more efficient than that developed by Abdalla, De Caro, and Mochetti (Latincrypt 2012). Our fuzzy IBE is secure under a much weaker assumption than that employed by Agrawal et al.~(PKC 2012), who constructed the first lattice-based fuzzy IBE scheme.

09:17 [Pub][ePrint]

The authentication code (A-code) is the one of the most fundamental cryptographic protocols in information-theoretic cryptography, and it provides information-theoretic integrity or authenticity, i.e., preventing information from being altered or substituted by the adversary having unbounded computational powers. In addition, it has a wide range of applications such as multiparty computations and quantum key distribution protocols. The traditional A-code theory states that a good A-code is characterized as an A-code which satisfies equality of a lower bound on size of secret-keys, i.e., an A-code satisfying |K|=\\epsilon^{-2}, where |K}| is cardinality of the set of secret-keys and \\epsilon is the success probability of attacks of the adversary. However, good A-codes imply that secret-keys must be uniformly distributed. Therefore, if a non-uniformly random key is given, we cannot realize a good A-code by using it as a secret-key. Then, a natural question about this is: what is a good A-code having non-uniformly random keys? And, how can we design such a good A-code having non-uniformly random keys? To answer the questions, in this paper, we perform analysis of A-codes having non-uniformly random keys, and show the principle that guides the design for such good A-codes.

Specifically, the contribution of this paper is as follows. We first derive a new lower bound on entropy of secret-keys, and it is described in terms of \\R entropy. Next, we define that a good A-code having non-uniformly random keys is the one satisfying equality of the bound, and it is characterized by the min-entropy (a special case of \\R entropy). Furthermore, we introduce the classification methodology for A-codes which are realizable from a biased key-source. This classification is performed by using a mathematical tool, i.e., a group action on the set of authentication matrices. By this analysis, we can understand what kind of A-codes is actually constructable.

Finally, we design how to construct good A-codes having 1-bit messages from von Neumann sources. We also show that our construction methodology is superior to the one by applying von Neumann extractors and the traditional optimal A-code constructions. Although the case of 1-bit messages may be restricted, however, this case is simple and we believe that a general case will develop from this simple case.

09:17 [Pub][ePrint]

A searchable symmetric encryption (SSE) scheme allows a client to store a set of encrypted files on an untrusted server in such a way that he can efficiently retrieve some of the encrypted files containing (or indexed by) specific keywords keeping the keywords and the files secret.

In this paper, we first extend the model of SSE schemes to that of verifiable SSE schemes, and formulate the UC security. We then prove its weak equivalence with privacy and reliability. Finally we show an efficient verifiable SSE scheme which is UC-secure.

09:17 [Pub][ePrint]

The Linearization of Nonlinear feedback shift registers (NFSRs) is to find their state transition matrices. In this paper,

we investigate the linearization multi-valued NFSRs by considering it as a logical network via a semi-tensor product approach.

A new state transition matrix is found for an multi-valued NFSR, which can be simply computed from the truth table of its

feedback function, and the new state transition matrix is easier to compute and is more explicit. First, a linear representation of a

multi-valued NFSR is given, based on which several necessary and sufficient conditions for the nonsingularity are given. Then,

some properties of the state transition matrice are provided, which are helpful to theoretically analyze NFSRs. Finally, we give

properties of a maximum length multi-valued NFSR and the linear representation of the general structure of an n-bit shift register

with updating functions.

09:17 [Pub][ePrint]

In this paper, we study stability and linearization of multi-

valued nonlinear feedback shift registers which are considered as logic

networks. First, the linearization of multi-valued nonlinear feedback shift

registers (NFSRs) is discussed, which is to nd their state transition ma-

trices by considering it as a logical network via a semi-tensor product ap-

proach. For a multi-valued NFSR, the new state transition matrix which

can be simply computed from the truth table of its feedback function is

more explicit. Second, based on the linearization theory of multi-valued

NFSRs, we investigate the stability of multi-valued NFSRs, and some suf-

cient and necessary conditions are provided for globally (locally) stable

multi-valued NFSRs. Finally, some examples are presented to show the

eectiveness of the proposed results.