--- _id: '3250' abstract: - lang: eng text: The Learning Parity with Noise (LPN) problem has recently found many applications in cryptography as the hardness assumption underlying the constructions of "provably secure" cryptographic schemes like encryption or authentication protocols. Being provably secure means that the scheme comes with a proof showing that the existence of an efficient adversary against the scheme implies that the underlying hardness assumption is wrong. LPN based schemes are appealing for theoretical and practical reasons. On the theoretical side, LPN based schemes offer a very strong security guarantee. The LPN problem is equivalent to the problem of decoding random linear codes, a problem that has been extensively studied in the last half century. The fastest known algorithms run in exponential time and unlike most number-theoretic problems used in cryptography, the LPN problem does not succumb to known quantum algorithms. On the practical side, LPN based schemes are often extremely simple and efficient in terms of code-size as well as time and space requirements. This makes them prime candidates for light-weight devices like RFID tags, which are too weak to implement standard cryptographic primitives like the AES block-cipher. This talk will be a gentle introduction to provable security using simple LPN based schemes as examples. Starting from pseudorandom generators and symmetric key encryption, over secret-key authentication protocols, and, if time admits, touching on recent constructions of public-key identification, commitments and zero-knowledge proofs. alternative_title: - LNCS author: - first_name: Krzysztof Z full_name: Pietrzak, Krzysztof Z id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87 last_name: Pietrzak orcid: 0000-0002-9139-1654 citation: ama: 'Pietrzak KZ. Cryptography from learning parity with noise. In: Vol 7147. Springer; 2012:99-114. doi:10.1007/978-3-642-27660-6_9' apa: 'Pietrzak, K. Z. (2012). Cryptography from learning parity with noise (Vol. 7147, pp. 99–114). Presented at the SOFSEM: Current Trends in Theory and Practice of Computer Science, Špindlerův Mlýn, Czech Republic: Springer. https://doi.org/10.1007/978-3-642-27660-6_9' chicago: Pietrzak, Krzysztof Z. “Cryptography from Learning Parity with Noise,” 7147:99–114. Springer, 2012. https://doi.org/10.1007/978-3-642-27660-6_9. ieee: 'K. Z. Pietrzak, “Cryptography from learning parity with noise,” presented at the SOFSEM: Current Trends in Theory and Practice of Computer Science, Špindlerův Mlýn, Czech Republic, 2012, vol. 7147, pp. 99–114.' ista: 'Pietrzak KZ. 2012. Cryptography from learning parity with noise. SOFSEM: Current Trends in Theory and Practice of Computer Science, LNCS, vol. 7147, 99–114.' mla: Pietrzak, Krzysztof Z. Cryptography from Learning Parity with Noise. Vol. 7147, Springer, 2012, pp. 99–114, doi:10.1007/978-3-642-27660-6_9. short: K.Z. Pietrzak, in:, Springer, 2012, pp. 99–114. conference: end_date: 2012-01-27 location: Špindlerův Mlýn, Czech Republic name: 'SOFSEM: Current Trends in Theory and Practice of Computer Science' start_date: 2012-01-21 date_created: 2018-12-11T12:02:15Z date_published: 2012-02-19T00:00:00Z date_updated: 2021-01-12T07:42:07Z day: '19' department: - _id: KrPi doi: 10.1007/978-3-642-27660-6_9 intvolume: ' 7147' language: - iso: eng month: '02' oa_version: None page: 99 - 114 publication_status: published publisher: Springer publist_id: '3407' quality_controlled: '1' scopus_import: 1 status: public title: Cryptography from learning parity with noise type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 7147 year: '2012' ... --- _id: '3256' abstract: - lang: eng text: We use a distortion to define the dual complex of a cubical subdivision of ℝ n as an n-dimensional subcomplex of the nerve of the set of n-cubes. Motivated by the topological analysis of high-dimensional digital image data, we consider such subdivisions defined by generalizations of quad- and oct-trees to n dimensions. Assuming the subdivision is balanced, we show that mapping each vertex to the center of the corresponding n-cube gives a geometric realization of the dual complex in ℝ n. acknowledgement: This research is partially supported by the Defense Advanced Research Projects Agency (DARPA) under grants HR0011-05-1-0057 and HR0011-09-0065 as well as the National Science Foundation (NSF) under grant DBI-0820624. author: - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Michael full_name: Kerber, Michael id: 36E4574A-F248-11E8-B48F-1D18A9856A87 last_name: Kerber orcid: 0000-0002-8030-9299 citation: ama: Edelsbrunner H, Kerber M. Dual complexes of cubical subdivisions of ℝn. Discrete & Computational Geometry. 2012;47(2):393-414. doi:10.1007/s00454-011-9382-4 apa: Edelsbrunner, H., & Kerber, M. (2012). Dual complexes of cubical subdivisions of ℝn. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/s00454-011-9382-4 chicago: Edelsbrunner, Herbert, and Michael Kerber. “Dual Complexes of Cubical Subdivisions of ℝn.” Discrete & Computational Geometry. Springer, 2012. https://doi.org/10.1007/s00454-011-9382-4. ieee: H. Edelsbrunner and M. Kerber, “Dual complexes of cubical subdivisions of ℝn,” Discrete & Computational Geometry, vol. 47, no. 2. Springer, pp. 393–414, 2012. ista: Edelsbrunner H, Kerber M. 2012. Dual complexes of cubical subdivisions of ℝn. Discrete & Computational Geometry. 47(2), 393–414. mla: Edelsbrunner, Herbert, and Michael Kerber. “Dual Complexes of Cubical Subdivisions of ℝn.” Discrete & Computational Geometry, vol. 47, no. 2, Springer, 2012, pp. 393–414, doi:10.1007/s00454-011-9382-4. short: H. Edelsbrunner, M. Kerber, Discrete & Computational Geometry 47 (2012) 393–414. date_created: 2018-12-11T12:02:17Z date_published: 2012-03-01T00:00:00Z date_updated: 2021-01-12T07:42:10Z day: '01' ddc: - '000' department: - _id: HeEd doi: 10.1007/s00454-011-9382-4 file: - access_level: open_access checksum: 76486f3b2c9e7fd81342f3832ca387e7 content_type: application/pdf creator: system date_created: 2018-12-12T10:08:15Z date_updated: 2020-07-14T12:46:05Z file_id: '4675' file_name: IST-2016-543-v1+1_2012-J-08-HierarchyCubeComplex.pdf file_size: 203636 relation: main_file file_date_updated: 2020-07-14T12:46:05Z has_accepted_license: '1' intvolume: ' 47' issue: '2' language: - iso: eng month: '03' oa: 1 oa_version: Submitted Version page: 393 - 414 publication: Discrete & Computational Geometry publication_status: published publisher: Springer publist_id: '3398' pubrep_id: '543' quality_controlled: '1' scopus_import: 1 status: public title: Dual complexes of cubical subdivisions of ℝn type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 47 year: '2012' ... --- _id: '3254' abstract: - lang: eng text: 'The theory of graph games with ω-regular winning conditions is the foundation for modeling and synthesizing reactive processes. In the case of stochastic reactive processes, the corresponding stochastic graph games have three players, two of them (System and Environment) behaving adversarially, and the third (Uncertainty) behaving probabilistically. We consider two problems for stochastic graph games: the qualitative problem asks for the set of states from which a player can win with probability 1 (almost-sure winning); and the quantitative problem asks for the maximal probability of winning (optimal winning) from each state. We consider ω-regular winning conditions formalized as Müller winning conditions. We present optimal memory bounds for pure (deterministic) almost-sure winning and optimal winning strategies in stochastic graph games with Müller winning conditions. We also study the complexity of stochastic Müller games and show that both the qualitative and quantitative analysis problems are PSPACE-complete. Our results are relevant in synthesis of stochastic reactive processes.' acknowledgement: 'The research was supported by Austrian Science Fund (FWF) Grant No. P 23499-N23, FWF NFN Grant No. S11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft faculty fellows award.' author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X citation: ama: Chatterjee K. The complexity of stochastic Müller games. Information and Computation. 2012;211:29-48. doi:10.1016/j.ic.2011.11.004 apa: Chatterjee, K. (2012). The complexity of stochastic Müller games. Information and Computation. Elsevier. https://doi.org/10.1016/j.ic.2011.11.004 chicago: Chatterjee, Krishnendu. “The Complexity of Stochastic Müller Games.” Information and Computation. Elsevier, 2012. https://doi.org/10.1016/j.ic.2011.11.004. ieee: K. Chatterjee, “The complexity of stochastic Müller games,” Information and Computation, vol. 211. Elsevier, pp. 29–48, 2012. ista: Chatterjee K. 2012. The complexity of stochastic Müller games. Information and Computation. 211, 29–48. mla: Chatterjee, Krishnendu. “The Complexity of Stochastic Müller Games.” Information and Computation, vol. 211, Elsevier, 2012, pp. 29–48, doi:10.1016/j.ic.2011.11.004. short: K. Chatterjee, Information and Computation 211 (2012) 29–48. date_created: 2018-12-11T12:02:17Z date_published: 2012-02-01T00:00:00Z date_updated: 2021-01-12T07:42:09Z day: '01' department: - _id: KrCh doi: 10.1016/j.ic.2011.11.004 ec_funded: 1 intvolume: ' 211' language: - iso: eng main_file_link: - url: http://arise.or.at/pubpdf/The_complexity_of_stochastic_M___u_ller_games.pdf month: '02' oa_version: None page: 29 - 48 project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication: Information and Computation publication_status: published publisher: Elsevier publist_id: '3403' quality_controlled: '1' scopus_import: 1 status: public title: The complexity of stochastic Müller games type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 211 year: '2012' ... --- _id: '3253' abstract: - lang: eng text: We describe a framework for reasoning about programs with lists carrying integer numerical data. We use abstract domains to describe and manipulate complex constraints on configurations of these programs mixing constraints on the shape of the heap, sizes of the lists, on the multisets of data stored in these lists, and on the data at their different positions. Moreover, we provide powerful techniques for automatic validation of Hoare-triples and invariant checking, as well as for automatic synthesis of invariants and procedure summaries using modular inter-procedural analysis. The approach has been implemented in a tool called Celia and experimented successfully on a large benchmark of programs. acknowledgement: This work was partly supported by the French National Research Agency (ANR) project Veridyc (ANR-09-SEGI-016). alternative_title: - LNCS author: - first_name: Ahmed full_name: Bouajjani, Ahmed last_name: Bouajjani - first_name: Cezara full_name: Dragoi, Cezara id: 2B2B5ED0-F248-11E8-B48F-1D18A9856A87 last_name: Dragoi - first_name: Constantin full_name: Enea, Constantin last_name: Enea - first_name: Mihaela full_name: Sighireanu, Mihaela last_name: Sighireanu citation: ama: 'Bouajjani A, Dragoi C, Enea C, Sighireanu M. Abstract domains for automated reasoning about list manipulating programs with infinite data. In: Vol 7148. Springer; 2012:1-22. doi:10.1007/978-3-642-27940-9_1' apa: 'Bouajjani, A., Dragoi, C., Enea, C., & Sighireanu, M. (2012). Abstract domains for automated reasoning about list manipulating programs with infinite data (Vol. 7148, pp. 1–22). Presented at the VMCAI: Verification, Model Checking and Abstract Interpretation, Philadelphia, PA, USA: Springer. https://doi.org/10.1007/978-3-642-27940-9_1' chicago: Bouajjani, Ahmed, Cezara Dragoi, Constantin Enea, and Mihaela Sighireanu. “Abstract Domains for Automated Reasoning about List Manipulating Programs with Infinite Data,” 7148:1–22. Springer, 2012. https://doi.org/10.1007/978-3-642-27940-9_1. ieee: 'A. Bouajjani, C. Dragoi, C. Enea, and M. Sighireanu, “Abstract domains for automated reasoning about list manipulating programs with infinite data,” presented at the VMCAI: Verification, Model Checking and Abstract Interpretation, Philadelphia, PA, USA, 2012, vol. 7148, pp. 1–22.' ista: 'Bouajjani A, Dragoi C, Enea C, Sighireanu M. 2012. Abstract domains for automated reasoning about list manipulating programs with infinite data. VMCAI: Verification, Model Checking and Abstract Interpretation, LNCS, vol. 7148, 1–22.' mla: Bouajjani, Ahmed, et al. Abstract Domains for Automated Reasoning about List Manipulating Programs with Infinite Data. Vol. 7148, Springer, 2012, pp. 1–22, doi:10.1007/978-3-642-27940-9_1. short: A. Bouajjani, C. Dragoi, C. Enea, M. Sighireanu, in:, Springer, 2012, pp. 1–22. conference: end_date: 2012-01-24 location: Philadelphia, PA, USA name: 'VMCAI: Verification, Model Checking and Abstract Interpretation' start_date: 2012-01-22 date_created: 2018-12-11T12:02:17Z date_published: 2012-02-26T00:00:00Z date_updated: 2021-01-12T07:42:09Z day: '26' department: - _id: ToHe doi: 10.1007/978-3-642-27940-9_1 intvolume: ' 7148' language: - iso: eng month: '02' oa_version: None page: 1 - 22 publication_status: published publisher: Springer publist_id: '3404' quality_controlled: '1' status: public title: Abstract domains for automated reasoning about list manipulating programs with infinite data type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 7148 year: '2012' ... --- _id: '3265' abstract: - lang: eng text: We propose a mid-level statistical model for image segmentation that composes multiple figure-ground hypotheses (FG) obtained by applying constraints at different locations and scales, into larger interpretations (tilings) of the entire image. Inference is cast as optimization over sets of maximal cliques sampled from a graph connecting all non-overlapping figure-ground segment hypotheses. Potential functions over cliques combine unary, Gestalt-based figure qualities, and pairwise compatibilities among spatially neighboring segments, constrained by T-junctions and the boundary interface statistics of real scenes. Learning the model parameters is based on maximum likelihood, alternating between sampling image tilings and optimizing their potential function parameters. State of the art results are reported on the Berkeley and Stanford segmentation datasets, as well as VOC2009, where a 28% improvement was achieved. article_number: '6126486' author: - first_name: Adrian full_name: Ion, Adrian id: 29F89302-F248-11E8-B48F-1D18A9856A87 last_name: Ion - first_name: Joao full_name: Carreira, Joao last_name: Carreira - first_name: Cristian full_name: Sminchisescu, Cristian last_name: Sminchisescu citation: ama: 'Ion A, Carreira J, Sminchisescu C. Image segmentation by figure-ground composition into maximal cliques. In: IEEE; 2012. doi:10.1109/ICCV.2011.6126486' apa: 'Ion, A., Carreira, J., & Sminchisescu, C. (2012). Image segmentation by figure-ground composition into maximal cliques. Presented at the ICCV: International Conference on Computer Vision, Barcelona, Spain: IEEE. https://doi.org/10.1109/ICCV.2011.6126486' chicago: Ion, Adrian, Joao Carreira, and Cristian Sminchisescu. “Image Segmentation by Figure-Ground Composition into Maximal Cliques.” IEEE, 2012. https://doi.org/10.1109/ICCV.2011.6126486. ieee: 'A. Ion, J. Carreira, and C. Sminchisescu, “Image segmentation by figure-ground composition into maximal cliques,” presented at the ICCV: International Conference on Computer Vision, Barcelona, Spain, 2012.' ista: 'Ion A, Carreira J, Sminchisescu C. 2012. Image segmentation by figure-ground composition into maximal cliques. ICCV: International Conference on Computer Vision, 6126486.' mla: Ion, Adrian, et al. Image Segmentation by Figure-Ground Composition into Maximal Cliques. 6126486, IEEE, 2012, doi:10.1109/ICCV.2011.6126486. short: A. Ion, J. Carreira, C. Sminchisescu, in:, IEEE, 2012. conference: end_date: 2011-11-13 location: Barcelona, Spain name: 'ICCV: International Conference on Computer Vision' start_date: 2011-11-06 date_created: 2018-12-11T12:02:21Z date_published: 2012-01-12T00:00:00Z date_updated: 2021-01-12T07:42:15Z day: '12' department: - _id: HeEd doi: 10.1109/ICCV.2011.6126486 language: - iso: eng month: '01' oa_version: None publication_status: published publisher: IEEE publist_id: '3382' quality_controlled: '1' status: public title: Image segmentation by figure-ground composition into maximal cliques type: conference user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 year: '2012' ... --- _id: '3282' abstract: - lang: eng text: 'Traditionally, symmetric-key message authentication codes (MACs) are easily built from pseudorandom functions (PRFs). In this work we propose a wide variety of other approaches to building efficient MACs, without going through a PRF first. In particular, unlike deterministic PRF-based MACs, where each message has a unique valid tag, we give a number of probabilistic MAC constructions from various other primitives/assumptions. Our main results are summarized as follows: We show several new probabilistic MAC constructions from a variety of general assumptions, including CCA-secure encryption, Hash Proof Systems and key-homomorphic weak PRFs. By instantiating these frameworks under concrete number theoretic assumptions, we get several schemes which are more efficient than just using a state-of-the-art PRF instantiation under the corresponding assumption. For probabilistic MACs, unlike deterministic ones, unforgeability against a chosen message attack (uf-cma ) alone does not imply security if the adversary can additionally make verification queries (uf-cmva ). We give an efficient generic transformation from any uf-cma secure MAC which is "message-hiding" into a uf-cmva secure MAC. This resolves the main open problem of Kiltz et al. from Eurocrypt''11; By using our transformation on their constructions, we get the first efficient MACs from the LPN assumption. While all our new MAC constructions immediately give efficient actively secure, two-round symmetric-key identification schemes, we also show a very simple, three-round actively secure identification protocol from any weak PRF. In particular, the resulting protocol is much more efficient than the trivial approach of building a regular PRF from a weak PRF. © 2012 International Association for Cryptologic Research.' acknowledgement: Supported by the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013) / ERC Starting Grant (259668-PSPC) alternative_title: - LNCS author: - first_name: Yevgeniy full_name: Dodis, Yevgeniy last_name: Dodis - first_name: Krzysztof Z full_name: Pietrzak, Krzysztof Z id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87 last_name: Pietrzak orcid: 0000-0002-9139-1654 - first_name: Eike full_name: Kiltz, Eike last_name: Kiltz - first_name: Daniel full_name: Wichs, Daniel last_name: Wichs citation: ama: 'Dodis Y, Pietrzak KZ, Kiltz E, Wichs D. Message authentication, revisited. In: Vol 7237. Springer; 2012:355-374. doi:10.1007/978-3-642-29011-4_22' apa: 'Dodis, Y., Pietrzak, K. Z., Kiltz, E., & Wichs, D. (2012). Message authentication, revisited (Vol. 7237, pp. 355–374). Presented at the EUROCRYPT: Theory and Applications of Cryptographic Techniques, Cambridge, UK: Springer. https://doi.org/10.1007/978-3-642-29011-4_22' chicago: Dodis, Yevgeniy, Krzysztof Z Pietrzak, Eike Kiltz, and Daniel Wichs. “Message Authentication, Revisited,” 7237:355–74. Springer, 2012. https://doi.org/10.1007/978-3-642-29011-4_22. ieee: 'Y. Dodis, K. Z. Pietrzak, E. Kiltz, and D. Wichs, “Message authentication, revisited,” presented at the EUROCRYPT: Theory and Applications of Cryptographic Techniques, Cambridge, UK, 2012, vol. 7237, pp. 355–374.' ista: 'Dodis Y, Pietrzak KZ, Kiltz E, Wichs D. 2012. Message authentication, revisited. EUROCRYPT: Theory and Applications of Cryptographic Techniques, LNCS, vol. 7237, 355–374.' mla: Dodis, Yevgeniy, et al. Message Authentication, Revisited. Vol. 7237, Springer, 2012, pp. 355–74, doi:10.1007/978-3-642-29011-4_22. short: Y. Dodis, K.Z. Pietrzak, E. Kiltz, D. Wichs, in:, Springer, 2012, pp. 355–374. conference: end_date: 2012-04-19 location: Cambridge, UK name: 'EUROCRYPT: Theory and Applications of Cryptographic Techniques' start_date: 2012-04-15 date_created: 2018-12-11T12:02:27Z date_published: 2012-03-10T00:00:00Z date_updated: 2021-01-12T07:42:22Z day: '10' ddc: - '000' - '004' department: - _id: KrPi doi: 10.1007/978-3-642-29011-4_22 ec_funded: 1 file: - access_level: open_access checksum: 8557c17a8c2586d06ebfe62d934f5c5f content_type: application/pdf creator: system date_created: 2018-12-12T10:14:23Z date_updated: 2020-07-14T12:46:06Z file_id: '5074' file_name: IST-2016-686-v1+1_059.pdf file_size: 372292 relation: main_file file_date_updated: 2020-07-14T12:46:06Z has_accepted_license: '1' intvolume: ' 7237' language: - iso: eng month: '03' oa: 1 oa_version: Submitted Version page: 355 - 374 project: - _id: 258C570E-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '259668' name: Provable Security for Physical Cryptography publication_status: published publisher: Springer publist_id: '3364' pubrep_id: '686' quality_controlled: '1' status: public title: Message authentication, revisited tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 7237 year: '2012' ... --- _id: '3280' abstract: - lang: eng text: 'The (decisional) learning with errors problem (LWE) asks to distinguish "noisy" inner products of a secret vector with random vectors from uniform. The learning parities with noise problem (LPN) is the special case where the elements of the vectors are bits. In recent years, the LWE and LPN problems have found many applications in cryptography. In this paper we introduce a (seemingly) much stronger adaptive assumption, called "subspace LWE" (SLWE), where the adversary can learn the inner product of the secret and random vectors after they were projected into an adaptively and adversarially chosen subspace. We prove that, surprisingly, the SLWE problem mapping into subspaces of dimension d is almost as hard as LWE using secrets of length d (the other direction is trivial.) This result immediately implies that several existing cryptosystems whose security is based on the hardness of the LWE/LPN problems are provably secure in a much stronger sense than anticipated. As an illustrative example we show that the standard way of using LPN for symmetric CPA secure encryption is even secure against a very powerful class of related key attacks. ' acknowledgement: Supported by the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013) / ERC Starting Grant (259668-PSPC). alternative_title: - LNCS author: - first_name: Krzysztof Z full_name: Pietrzak, Krzysztof Z id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87 last_name: Pietrzak orcid: 0000-0002-9139-1654 citation: ama: 'Pietrzak KZ. Subspace LWE. In: Vol 7194. Springer; 2012:548-563. doi:10.1007/978-3-642-28914-9_31' apa: 'Pietrzak, K. Z. (2012). Subspace LWE (Vol. 7194, pp. 548–563). Presented at the TCC: Theory of Cryptography Conference, Taormina, Sicily, Italy: Springer. https://doi.org/10.1007/978-3-642-28914-9_31' chicago: Pietrzak, Krzysztof Z. “Subspace LWE,” 7194:548–63. Springer, 2012. https://doi.org/10.1007/978-3-642-28914-9_31. ieee: 'K. Z. Pietrzak, “Subspace LWE,” presented at the TCC: Theory of Cryptography Conference, Taormina, Sicily, Italy, 2012, vol. 7194, pp. 548–563.' ista: 'Pietrzak KZ. 2012. Subspace LWE. TCC: Theory of Cryptography Conference, LNCS, vol. 7194, 548–563.' mla: Pietrzak, Krzysztof Z. Subspace LWE. Vol. 7194, Springer, 2012, pp. 548–63, doi:10.1007/978-3-642-28914-9_31. short: K.Z. Pietrzak, in:, Springer, 2012, pp. 548–563. conference: end_date: 2012-03-21 location: Taormina, Sicily, Italy name: 'TCC: Theory of Cryptography Conference' start_date: 2012-03-19 date_created: 2018-12-11T12:02:26Z date_published: 2012-05-04T00:00:00Z date_updated: 2021-01-12T07:42:21Z day: '04' department: - _id: KrPi doi: 10.1007/978-3-642-28914-9_31 ec_funded: 1 intvolume: ' 7194' language: - iso: eng main_file_link: - open_access: '1' url: http://www.iacr.org/archive/tcc2012/71940166/71940166.pdf month: '05' oa: 1 oa_version: Submitted Version page: 548 - 563 project: - _id: 258C570E-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '259668' name: Provable Security for Physical Cryptography publication_status: published publisher: Springer publist_id: '3366' quality_controlled: '1' status: public title: Subspace LWE type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 7194 year: '2012' ... --- _id: '3281' abstract: - lang: eng text: 'We consider the problem of amplifying the "lossiness" of functions. We say that an oracle circuit C*: {0,1} m → {0,1}* amplifies relative lossiness from ℓ/n to L/m if for every function f:{0,1} n → {0,1} n it holds that 1 If f is injective then so is C f. 2 If f has image size of at most 2 n-ℓ, then C f has image size at most 2 m-L. The question is whether such C* exists for L/m ≫ ℓ/n. This problem arises naturally in the context of cryptographic "lossy functions," where the relative lossiness is the key parameter. We show that for every circuit C* that makes at most t queries to f, the relative lossiness of C f is at most L/m ≤ ℓ/n + O(log t)/n. In particular, no black-box method making a polynomial t = poly(n) number of queries can amplify relative lossiness by more than an O(logn)/n additive term. We show that this is tight by giving a simple construction (cascading with some randomization) that achieves such amplification.' acknowledgement: "We would like to thank Oded Goldreich and Omer Rein- gold for discussions at an early stage of this project, and Scott Aaronson for clarifications regarding the collision problem.\r\n" alternative_title: - LNCS author: - first_name: Krzysztof Z full_name: Pietrzak, Krzysztof Z id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87 last_name: Pietrzak orcid: 0000-0002-9139-1654 - first_name: Alon full_name: Rosen, Alon last_name: Rosen - first_name: Gil full_name: Segev, Gil last_name: Segev citation: ama: 'Pietrzak KZ, Rosen A, Segev G. Lossy functions do not amplify well. In: Vol 7194. Springer; 2012:458-475. doi:10.1007/978-3-642-28914-9_26' apa: 'Pietrzak, K. Z., Rosen, A., & Segev, G. (2012). Lossy functions do not amplify well (Vol. 7194, pp. 458–475). Presented at the TCC: Theory of Cryptography Conference, Taormina, Sicily, Italy: Springer. https://doi.org/10.1007/978-3-642-28914-9_26' chicago: Pietrzak, Krzysztof Z, Alon Rosen, and Gil Segev. “Lossy Functions Do Not Amplify Well,” 7194:458–75. Springer, 2012. https://doi.org/10.1007/978-3-642-28914-9_26. ieee: 'K. Z. Pietrzak, A. Rosen, and G. Segev, “Lossy functions do not amplify well,” presented at the TCC: Theory of Cryptography Conference, Taormina, Sicily, Italy, 2012, vol. 7194, pp. 458–475.' ista: 'Pietrzak KZ, Rosen A, Segev G. 2012. Lossy functions do not amplify well. TCC: Theory of Cryptography Conference, LNCS, vol. 7194, 458–475.' mla: Pietrzak, Krzysztof Z., et al. Lossy Functions Do Not Amplify Well. Vol. 7194, Springer, 2012, pp. 458–75, doi:10.1007/978-3-642-28914-9_26. short: K.Z. Pietrzak, A. Rosen, G. Segev, in:, Springer, 2012, pp. 458–475. conference: end_date: 2012-03-21 location: Taormina, Sicily, Italy name: 'TCC: Theory of Cryptography Conference' start_date: 2012-03-19 date_created: 2018-12-11T12:02:26Z date_published: 2012-05-04T00:00:00Z date_updated: 2021-01-12T07:42:22Z day: '04' department: - _id: KrPi doi: 10.1007/978-3-642-28914-9_26 intvolume: ' 7194' language: - iso: eng main_file_link: - url: http://www.iacr.org/archive/tcc2012/tcc2012-index.html month: '05' oa_version: None page: 458 - 475 publication_status: published publisher: Springer publist_id: '3365' quality_controlled: '1' status: public title: Lossy functions do not amplify well type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 7194 year: '2012' ... --- _id: '3284' abstract: - lang: eng text: |- We study the complexity of valued constraint satisfaction problems (VCSP). A problem from VCSP is characterised by a constraint language, a fixed set of cost functions over a finite domain. An instance of the problem is specified by a sum of cost functions from the language and the goal is to minimise the sum. Under the unique games conjecture, the approximability of finite-valued VCSPs is well-understood, see Raghavendra [FOCS’08]. However, there is no characterisation of finite-valued VCSPs, let alone general-valued VCSPs, that can be solved exactly in polynomial time, thus giving insights from a combinatorial optimisation perspective. We consider the case of languages containing all possible unary cost functions. In the case of languages consisting of only {0, ∞}-valued cost functions (i.e. relations), such languages have been called conservative and studied by Bulatov [LICS’03] and recently by Barto [LICS’11]. Since we study valued languages, we call a language conservative if it contains all finite-valued unary cost functions. The computational complexity of conservative valued languages has been studied by Cohen et al. [AIJ’06] for languages over Boolean domains, by Deineko et al. [JACM’08] for {0,1}-valued languages (a.k.a Max-CSP), and by Takhanov [STACS’10] for {0,∞}-valued languages containing all finite- valued unary cost functions (a.k.a. Min-Cost-Hom). We prove a Schaefer-like dichotomy theorem for conservative valued languages: if all cost functions in the language satisfy a certain condition (specified by a complementary combination of STP and MJN multimorphisms), then any instance can be solved in polynomial time (via a new algorithm developed in this paper), otherwise the language is NP-hard. This is the first complete complexity classification of general-valued constraint languages over non-Boolean domains. It is a common phenomenon that complexity classifications of problems over non-Boolean domains is significantly harder than the Boolean case. The polynomial-time algorithm we present for the tractable cases is a generalisation of the submodular minimisation problem and a result of Cohen et al. [TCS’08]. Our results generalise previous results by Takhanov [STACS’10] and (a subset of results) by Cohen et al. [AIJ’06] and Deineko et al. [JACM’08]. Moreover, our results do not rely on any computer-assisted search as in Deineko et al. [JACM’08], and provide a powerful tool for proving hardness of finite-valued and general-valued languages. acknowledgement: Vladimir Kolmogorov is supported by the Royal Academy of Eng ineering/EPSRC. author: - first_name: Vladimir full_name: Vladimir Kolmogorov id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87 last_name: Kolmogorov - first_name: Stanislav full_name: Živný, Stanislav last_name: Živný citation: ama: 'Kolmogorov V, Živný S. The complexity of conservative valued CSPs. In: SIAM; 2012:750-759.' apa: 'Kolmogorov, V., & Živný, S. (2012). The complexity of conservative valued CSPs (pp. 750–759). Presented at the SODA: Symposium on Discrete Algorithms, SIAM.' chicago: Kolmogorov, Vladimir, and Stanislav Živný. “The Complexity of Conservative Valued CSPs,” 750–59. SIAM, 2012. ieee: 'V. Kolmogorov and S. Živný, “The complexity of conservative valued CSPs,” presented at the SODA: Symposium on Discrete Algorithms, 2012, pp. 750–759.' ista: 'Kolmogorov V, Živný S. 2012. The complexity of conservative valued CSPs. SODA: Symposium on Discrete Algorithms, 750–759.' mla: Kolmogorov, Vladimir, and Stanislav Živný. The Complexity of Conservative Valued CSPs. SIAM, 2012, pp. 750–59. short: V. Kolmogorov, S. Živný, in:, SIAM, 2012, pp. 750–759. conference: name: 'SODA: Symposium on Discrete Algorithms' date_created: 2018-12-11T12:02:27Z date_published: 2012-01-01T00:00:00Z date_updated: 2021-01-12T07:42:23Z day: '01' extern: 1 main_file_link: - open_access: '1' url: http://arxiv.org/abs/1008.1555 month: '01' oa: 1 page: 750 - 759 publication_status: published publisher: SIAM publist_id: '3362' quality_controlled: 0 status: public title: The complexity of conservative valued CSPs type: conference year: '2012' ... --- _id: '330' abstract: - lang: eng text: 'A procedure for the continuous production of Cu 2ZnSnS 4 (CZTS) nanoparticles with controlled composition is presented. CZTS nanoparticles were prepared through the reaction of the metals'' amino complexes with elemental sulfur in a continuous-flow reactor at moderate temperatures (300-330 °C). High-resolution transmission electron microscopy and X-ray diffraction analysis showed the nanocrystals to have a crystallographic structure compatible with that of the kesterite. Chemical characterization of the materials showed the presence of the four elements in each individual nanocrystal. Composition control was achieved by adjusting the solution flow rate through the reactor and the proper choice of the nominal precursor concentration within the flowing solution. Single-particle analysis revealed a composition distribution within each sample, which was optimized at the highest synthesis temperatures used. ' article_processing_charge: No article_type: original author: - first_name: Alexey full_name: Shavel, Alexey last_name: Shavel - first_name: Doris full_name: Cadavid, Doris last_name: Cadavid - first_name: Maria full_name: Ibáñez, Maria id: 43C61214-F248-11E8-B48F-1D18A9856A87 last_name: Ibáñez orcid: 0000-0001-5013-2843 - first_name: Alex full_name: Carrete, Alex last_name: Carrete - first_name: Andreu full_name: Cabot, Andreu last_name: Cabot citation: ama: Shavel A, Cadavid D, Ibáñez M, Carrete A, Cabot A. Continuous production of Cu inf 2 inf ZnSnS inf 4 inf nanocrystals in a flow reactor. Journal of the American Chemical Society. 2012;134(3):1438-1441. doi:10.1021/ja209688a apa: Shavel, A., Cadavid, D., Ibáñez, M., Carrete, A., & Cabot, A. (2012). Continuous production of Cu inf 2 inf ZnSnS inf 4 inf nanocrystals in a flow reactor. Journal of the American Chemical Society. ACS. https://doi.org/10.1021/ja209688a chicago: Shavel, Alexey, Doris Cadavid, Maria Ibáñez, Alex Carrete, and Andreu Cabot. “Continuous Production of Cu Inf 2 Inf ZnSnS Inf 4 Inf Nanocrystals in a Flow Reactor.” Journal of the American Chemical Society. ACS, 2012. https://doi.org/10.1021/ja209688a. ieee: A. Shavel, D. Cadavid, M. Ibáñez, A. Carrete, and A. Cabot, “Continuous production of Cu inf 2 inf ZnSnS inf 4 inf nanocrystals in a flow reactor,” Journal of the American Chemical Society, vol. 134, no. 3. ACS, pp. 1438–1441, 2012. ista: Shavel A, Cadavid D, Ibáñez M, Carrete A, Cabot A. 2012. Continuous production of Cu inf 2 inf ZnSnS inf 4 inf nanocrystals in a flow reactor. Journal of the American Chemical Society. 134(3), 1438–1441. mla: Shavel, Alexey, et al. “Continuous Production of Cu Inf 2 Inf ZnSnS Inf 4 Inf Nanocrystals in a Flow Reactor.” Journal of the American Chemical Society, vol. 134, no. 3, ACS, 2012, pp. 1438–41, doi:10.1021/ja209688a. short: A. Shavel, D. Cadavid, M. Ibáñez, A. Carrete, A. Cabot, Journal of the American Chemical Society 134 (2012) 1438–1441. date_created: 2018-12-11T11:45:51Z date_published: 2012-01-02T00:00:00Z date_updated: 2021-01-12T07:42:29Z day: '02' doi: 10.1021/ja209688a extern: '1' intvolume: ' 134' issue: '3' language: - iso: eng month: '01' oa_version: None page: 1438 - 1441 publication: Journal of the American Chemical Society publication_status: published publisher: ACS publist_id: '7531' quality_controlled: '1' status: public title: Continuous production of Cu inf 2 inf ZnSnS inf 4 inf nanocrystals in a flow reactor type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 134 year: '2012' ...