International Association for Cryptologic Research

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2012-06-05
18:17 [Pub][ePrint]

We consider the class of secret sharing schemes where there is no a priori bound on the number of players $n$ but where each of the $n$ share-spaces has fixed cardinality~$q$. We show two fundamental lower bounds on the {\\em threshold gap} of such schemes.

The threshold gap $g$ is defined as $r-t$, where $r$ is minimal and $t$ is maximal such that

the following holds: for a secret with arbitrary a priori distribution, each $r$-subset of players can

reconstruct this secret from their joint shares without error ($r$-reconstruction) and the information

gain about the secret is nil for each $t$-subset of players jointly ($t$-privacy).

Our first bound, which is completely general, implies that if $1\\leq t 05:55 [Job][New] We invite applications for outstanding researchers to strengthen and broaden our research activities in security research. Our expertise ranges from applied cryptography and privacy to network, system, and usable security. Both recent Ph.D. graduates and well-established scientists are encouraged to apply. A premier center for commercial innovation, PARC, a Xerox company, is in the business of breakthroughs. We work closely with global enterprises, entrepreneurs, government agencies and partners, and other clients to invent, co-develop, and bring to market game-changing innovations by combining imagination, investigation, and return on investment for our clients. For 40 years, we have lived at the leading edge of innovation, merging inquiry and strategy to pioneer technological change. PARC was incorporated in 2002 as a wholly owned independent subsidiary of Xerox Corporation – enabling us to continue pioneering technological change but across a broader set of industries and clients today. Depending on seniority, the successful candidate will be responsible for one or more of the following roles: . Formulating research problems based on real-world needs and independently conducting high-quality research . Working with existing research and development staff on a broad range of research topics . Working with business development team in identifying important business opportunities with industry and government agencies. . Identifying new promising research directions and contributing them to the group’s long-term research agenda. Candidates in all areas of cyber security will be considered, however, the following areas are of particular interest: . Systems & network security . Security in cloud computing . Data mining and machine learning applied to security and privacy . Security and privacy in ubiquitous and mobile computing environments . Formal methods and software 2012-06-04 04:59 [PhD][New] Name: Erik Tews Topic: DECT Security Analysis Category: applications Description: DECT is a standard for cordless phones. The intent of this thesis is to evaluate DECT security in a comprehensive way. To secure conversations over the air, DECT uses two proprietary algorithms, namely the DECT Standard Authentication Algorithm (DSAA) for authentication and key derivation, and the DECT Standard Cipher (DSC) for encryption. Both algorithms have been kept secret and were only available to DECT device manufacturers under a None Disclosure Agreement (NDA). The reader is first introduced into the DECT standard. The two algorithms DSAA and DSC have been reverse engineered and are then described in full detail. At first, attacks against DECT devices are presented, that are based on faults made by the manufacturers while implementing the DECT standard. In the next Chapters, attacks against the DSAA and the DSC algorithm are described, that recover the secret keys used by these algorithms faster than by brute force. Thereafter, a attack against the DECT radio protocol is described, that decrypts encrypted DECT voice calls. Finally, an outlook over the next release of the DECT standard is presented, that is expected to counter all attacks against DECT, that are described in this thesis.[...] 04:59 [PhD][New] Name: Johannes Buchmann 00:17 [Pub][ePrint] In the classical model of traitor tracing, one assumes that a traitor contributes its entire secret key to build a pirate decoder. However, new practical scenarios of pirate has been considered, namely Pirate Evolution Attacks at Crypto 2007 and Pirates 2.0 at Eurocrypt 2009, in which pirate decoders could be built from sub-keys of users. The key notion in Pirates 2.0 is the anonymity level of traitors: they can rest assured to remain anonymous when each of them only contributes a very small fraction of its secret information. This scenario encourages dishonest users to participate in collusion and the size of collusion could become very large, possibly beyond the considered threshold in the classical model. There are numerous attempts to deal with Pirates 2.0 each of which only considers a particular form of Pirates 2.0. In this paper, we propose a method for fighting Pirates 2.0 in any form. Our method is based on the researches in key-leakage resilience. It thus gives an interesting and rather surprised connection between the rich domain of key-leakage resilient cryptography and Pirates 2.0. We first formalize the notion of key-leakage resilient revoke system and then identify sufficient conditions so that a key-leakage resilient revoke scheme can resist Pirates 2.0 in any form. We finally propose a construction of a secure key-leakage resilient identity-based revoke system that fulfills the required conditions. The main ingredient in the construction relies on the identity-based encryption with wildcards ($\\WIBE$) and our construction of key-leakage resilient$\\WIBE$could be useful in its own right. 00:17 [Pub][ePrint] In this paper, we investigate on threshold proofs, a framework for distributing the prover\'s side of interactive proofs of knowledge over multiple parties. Interactive proofs of knowledge (PoK) are widely used primitives of cryptographic protocols, including important user-centric protocols, such as identification schemes, electronic cash (e-cash), and anonymous credentials. We present a security model for threshold proofs of knowledge and develop threshold versions of well-known primitives such as range proofs, zero-knowledge proofs for preimages of homomorphisms (which generalizes PoKs of discrete logarithms, representations, p-th roots, etc.), as well as OR statements. These building blocks are proven secure in our model. Furthermore, we apply the developed primitives and techniques in the context of user-centric protocols. In particular, we construct distributed-user variants of Brands\' e-cash system and the bilinear anonymous credential scheme by Camenisch and Lysyanskaya. Distributing the user party in such protocols has several practical advantages: First, the security of a user can be increased by sharing secrets and computations over multiple devices owned by the user. In this way, losing control of a single device does not result in a security breach. Second, this approach also allows groups of users to jointly control an application (e.g., a joint e-cash account), not giving a single user full control. The distributed versions of the protocols we propose in this paper are relatively efficient (when compared to a general MPC approach). In comparison to the original protocols only the prover\'s (or user\'s) side is modified while the other side stays untouched. In particular, it is oblivious to the other party whether it interacts with a distributed prover (or user) or one as defined in the original protocol. 00:17 [Pub][ePrint] Broadcast encryption aims at sending a content to a large arbitrary group of users at once. Currently, the most efficient schemes provide constant-size headers, that encapsulate ephemeral session keys under which the payload is encrypted. However, in practice, and namely for pay-TV, providers have to send various contents to different groups of users. Headers are thus specific to each group, one for each channel: as a consequence, the global overhead is linear in the number of channels. Furthermore, when one wants to zap to and watch another channel, one has to get the new header and decrypt it to learn the new session key: either the headers are sent quite frequently or one has to store all the headers, even if one watches one channel only. Otherwise, the zapping time becomes unacceptably long. In this paper, we consider encapsulation of several ephemeral keys, for various groups and thus various channels, in one header only, and we call this new primitive Multi-Channel Broadcast Encryption: one can hope for a much shorter global overhead and a short zapping time since the decoder already has the information to decrypt any available channel at once. Our candidates are private variants of the Boneh-Gentry-Waters scheme, with a constant-size global header, independently of the number of channels. In order to prove the CCA security of the scheme, we introduce a new dummy-helper technique and implement it in the random oracle model. 00:17 [Pub][ePrint] Verified security provides a firm foundation for cryptographic proofs by means of rigorous programming language techniques and verification methods. EasyCrypt is a framework that realizes the verified security paradigm and supports the machine-checked construction and verification of cryptographic proofs using state-of-the-art SMT solvers, automated theorem provers and interactive proof assistants. Previous experiments have shown that EasyCrypt is effective for a posteriori validation of cryptographic systems. In this paper, we report on the first application of verified security to a novel cryptographic construction, with strong security properties and interesting practical features. Specifically, we use EasyCrypt to prove the IND-CCA security of a redundancy-free public-key encryption scheme based on trapdoor one-way permutations. Somewhat surprisingly, we show that even with a zero-length redundancy, Boneh\'s SAEP scheme (an OAEP-like construction with a single-round Feistel network rather than two) converts a trapdoor one-way permutation into an IND-CCA-secure scheme, provided the permutation satisfies two additional properties. We then prove that the Rabin function and RSA with short exponent enjoy these properties, and thus can be used to instantiate the construction we propose to obtain efficient encryption schemes. The reduction that justifies the security of our construction is tight enough to achieve practical security with reasonable key sizes. 00:17 [Pub][ePrint] Elliptic curve cryptosystems have improved greatly in speed over the past few years. In this paper we outline a new elliptic curve signature and key agreement implementation which achieves record speeds while remaining relatively compact. For example, on Intel Sandy Bridge, a curve with about$2^{250}\$ points produces a signature in just under 60k clock cycles, verifies in under 169k clock cycles, and computes a Diffie-Hellman shared secret in under 153k clock cycles. Our implementation has a small footprint: the library is under 55kB. We also post competitive timings on ARM processors, verifying a signature in under 626k Tegra-2 cycles. We introduce faster field arithmetic, a new point compression algorithm, an improved fixed-base scalar multiplication algorithm and a new way to verify signatures without inversions or coordinate recovery. Some of these improvements should be applicable to other systems.

00:17 [Pub][ePrint]

In this paper, we specify a class of mathematical problems, which we refer to as Function Density Problems\'\' (FDPs, in short), and point out novel connections of FDPs to the following two cryptographic topics; theoretical security evaluations of keyless hash functions (such as SHA-1), and constructions of provably secure pseudorandom generators (PRGs) with some enhanced security property introduced by Dubrov and Ishai [STOC 2006]. Our argument aims at proposing new theoretical frameworks for these topics (especially for the former) based on FDPs, rather than providing some concrete and practical results on the topics. We also give some examples of mathematical discussions on FDPs, which would be of independent interest from mathematical viewpoints. Finally, we discuss possible directions of future research on other cryptographic applications of FDPs and on mathematical studies on FDPs themselves.

00:17 [Pub][ePrint]

We construct the first public-key encryption scheme whose chosen-ciphertext (i.e., IND-CCA) security can be proved under a standard assumption and does not degrade in either the number of users or the number of ciphertexts. In particular, our scheme can be safely deployed in unknown settings in which no a-priori bound on the number of encryptions and/or users is known.

As a central technical building block, we devise the first structure-preserving signature scheme with a tight security reduction. (This signature scheme may be of independent interest.) Combining this scheme with Groth-Sahai proofs yields a tightly simulation-sound non-interactive zero-knowledge proof system for group equations. If we use this proof system in the Naor-Yung double encryption scheme, we obtain a tightly IND-CCA secure public-key encryption scheme from the Decision Linear assumption.

We point out that our techniques are not specific to public-key encryption security. Rather, we view our signature scheme and proof system as general building blocks that can help to achieve a tight security reduction.