Published in: LIPIcs, Volume 317, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2024)
Kuan Cheng and Ruiyang Wu. Randomness Extractors in AC⁰ and NC¹: Optimal up to Constant Factors. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 317, pp. 69:1-69:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{cheng_et_al:LIPIcs.APPROX/RANDOM.2024.69, author = {Cheng, Kuan and Wu, Ruiyang}, title = {{Randomness Extractors in AC⁰ and NC¹: Optimal up to Constant Factors}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2024)}, pages = {69:1--69:22}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-348-5}, ISSN = {1868-8969}, year = {2024}, volume = {317}, editor = {Kumar, Amit and Ron-Zewi, Noga}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2024.69}, URN = {urn:nbn:de:0030-drops-210623}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2024.69}, annote = {Keywords: randomness extractor, uniform AC⁰, error reduction, uniform NC¹, disperser} }
Published in: LIPIcs, Volume 304, 5th Conference on Information-Theoretic Cryptography (ITC 2024)
Yuval Ishai, Mahimna Kelkar, Daniel Lee, and Yiping Ma. Information-Theoretic Single-Server PIR in the Shuffle Model. In 5th Conference on Information-Theoretic Cryptography (ITC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 304, pp. 6:1-6:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{ishai_et_al:LIPIcs.ITC.2024.6, author = {Ishai, Yuval and Kelkar, Mahimna and Lee, Daniel and Ma, Yiping}, title = {{Information-Theoretic Single-Server PIR in the Shuffle Model}}, booktitle = {5th Conference on Information-Theoretic Cryptography (ITC 2024)}, pages = {6:1--6:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-333-1}, ISSN = {1868-8969}, year = {2024}, volume = {304}, editor = {Aggarwal, Divesh}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITC.2024.6}, URN = {urn:nbn:de:0030-drops-205142}, doi = {10.4230/LIPIcs.ITC.2024.6}, annote = {Keywords: Private information retrieval, Shuffle model} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Gil Cohen and Tal Yankovitz. Asymptotically-Good RLCCs with (log n)^(2+o(1)) Queries. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 8:1-8:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{cohen_et_al:LIPIcs.CCC.2024.8, author = {Cohen, Gil and Yankovitz, Tal}, title = {{Asymptotically-Good RLCCs with (log n)^(2+o(1)) Queries}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {8:1--8:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.8}, URN = {urn:nbn:de:0030-drops-204045}, doi = {10.4230/LIPIcs.CCC.2024.8}, annote = {Keywords: Relaxed locally decodable codes, Relxaed locally correctable codes, RLCC, RLDC} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Harm Derksen, Peter Ivanov, Chin Ho Lee, and Emanuele Viola. Pseudorandomness, Symmetry, Smoothing: I. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 18:1-18:27, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{derksen_et_al:LIPIcs.CCC.2024.18, author = {Derksen, Harm and Ivanov, Peter and Lee, Chin Ho and Viola, Emanuele}, title = {{Pseudorandomness, Symmetry, Smoothing: I}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {18:1--18:27}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.18}, URN = {urn:nbn:de:0030-drops-204144}, doi = {10.4230/LIPIcs.CCC.2024.18}, annote = {Keywords: pseudorandomness, k-wise uniform distributions, small-bias distributions, noise, symmetric tests, thresholds, Krawtchouk polynomials} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Prerona Chatterjee, Deepanshu Kush, Shubhangi Saraf, and Amir Shpilka. Lower Bounds for Set-Multilinear Branching Programs. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 20:1-20:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{chatterjee_et_al:LIPIcs.CCC.2024.20, author = {Chatterjee, Prerona and Kush, Deepanshu and Saraf, Shubhangi and Shpilka, Amir}, title = {{Lower Bounds for Set-Multilinear Branching Programs}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {20:1--20:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.20}, URN = {urn:nbn:de:0030-drops-204167}, doi = {10.4230/LIPIcs.CCC.2024.20}, annote = {Keywords: Lower Bounds, Algebraic Branching Programs, Set-multilinear polynomials} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Xin Li and Yan Zhong. Two-Source and Affine Non-Malleable Extractors for Small Entropy. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 108:1-108:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{li_et_al:LIPIcs.ICALP.2024.108, author = {Li, Xin and Zhong, Yan}, title = {{Two-Source and Affine Non-Malleable Extractors for Small Entropy}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {108:1--108:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.108}, URN = {urn:nbn:de:0030-drops-202512}, doi = {10.4230/LIPIcs.ICALP.2024.108}, annote = {Keywords: Randomness Extractors, Non-malleable, Two-source, Affine} }
Published in: LIPIcs, Volume 207, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)
Omar Alrabiah and Venkatesan Guruswami. Visible Rank and Codes with Locality. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 207, pp. 57:1-57:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{alrabiah_et_al:LIPIcs.APPROX/RANDOM.2021.57, author = {Alrabiah, Omar and Guruswami, Venkatesan}, title = {{Visible Rank and Codes with Locality}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)}, pages = {57:1--57:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-207-5}, ISSN = {1868-8969}, year = {2021}, volume = {207}, editor = {Wootters, Mary and Sanit\`{a}, Laura}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2021.57}, URN = {urn:nbn:de:0030-drops-147502}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2021.57}, annote = {Keywords: Visible Rank, Stencils, Locality, DRGP Codes, Locally Correctable Codes} }
Published in: LIPIcs, Volume 200, 36th Computational Complexity Conference (CCC 2021)
László Babai and Bohdan Kivva. Matrix Rigidity Depends on the Target Field. In 36th Computational Complexity Conference (CCC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 200, pp. 41:1-41:26, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{babai_et_al:LIPIcs.CCC.2021.41, author = {Babai, L\'{a}szl\'{o} and Kivva, Bohdan}, title = {{Matrix Rigidity Depends on the Target Field}}, booktitle = {36th Computational Complexity Conference (CCC 2021)}, pages = {41:1--41:26}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-193-1}, ISSN = {1868-8969}, year = {2021}, volume = {200}, editor = {Kabanets, Valentine}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2021.41}, URN = {urn:nbn:de:0030-drops-143153}, doi = {10.4230/LIPIcs.CCC.2021.41}, annote = {Keywords: Matrix rigidity, field extension} }
Published in: LIPIcs, Volume 137, 34th Computational Complexity Conference (CCC 2019)
Zeev Dvir and Allen Liu. Fourier and Circulant Matrices Are Not Rigid. In 34th Computational Complexity Conference (CCC 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 137, pp. 17:1-17:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{dvir_et_al:LIPIcs.CCC.2019.17, author = {Dvir, Zeev and Liu, Allen}, title = {{Fourier and Circulant Matrices Are Not Rigid}}, booktitle = {34th Computational Complexity Conference (CCC 2019)}, pages = {17:1--17:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-116-0}, ISSN = {1868-8969}, year = {2019}, volume = {137}, editor = {Shpilka, Amir}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2019.17}, URN = {urn:nbn:de:0030-drops-108390}, doi = {10.4230/LIPIcs.CCC.2019.17}, annote = {Keywords: Rigidity, Fourier matrix, Circulant matrix} }
Published in: LIPIcs, Volume 124, 10th Innovations in Theoretical Computer Science Conference (ITCS 2019)
Zeev Dvir, Sivakanth Gopi, Yuzhou Gu, and Avi Wigderson. Spanoids - An Abstraction of Spanning Structures, and a Barrier for LCCs. In 10th Innovations in Theoretical Computer Science Conference (ITCS 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 124, pp. 32:1-32:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{dvir_et_al:LIPIcs.ITCS.2019.32, author = {Dvir, Zeev and Gopi, Sivakanth and Gu, Yuzhou and Wigderson, Avi}, title = {{Spanoids - An Abstraction of Spanning Structures, and a Barrier for LCCs}}, booktitle = {10th Innovations in Theoretical Computer Science Conference (ITCS 2019)}, pages = {32:1--32:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-095-8}, ISSN = {1868-8969}, year = {2019}, volume = {124}, editor = {Blum, Avrim}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2019.32}, URN = {urn:nbn:de:0030-drops-101258}, doi = {10.4230/LIPIcs.ITCS.2019.32}, annote = {Keywords: Locally correctable codes, spanoids, entropy, bootstrap percolation, gossip spreading, matroid, union-closed family} }
Published in: LIPIcs, Volume 67, 8th Innovations in Theoretical Computer Science Conference (ITCS 2017)
Jop Briët, Zeev Dvir, and Sivakanth Gopi. Outlaw Distributions and Locally Decodable Codes. In 8th Innovations in Theoretical Computer Science Conference (ITCS 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 67, pp. 20:1-20:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)
@InProceedings{briet_et_al:LIPIcs.ITCS.2017.20, author = {Bri\"{e}t, Jop and Dvir, Zeev and Gopi, Sivakanth}, title = {{Outlaw Distributions and Locally Decodable Codes}}, booktitle = {8th Innovations in Theoretical Computer Science Conference (ITCS 2017)}, pages = {20:1--20:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-029-3}, ISSN = {1868-8969}, year = {2017}, volume = {67}, editor = {Papadimitriou, Christos H.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2017.20}, URN = {urn:nbn:de:0030-drops-81888}, doi = {10.4230/LIPIcs.ITCS.2017.20}, annote = {Keywords: Locally Decodable Code, VC-dimension, Incidence Geometry, Cayley Hypergraphs} }
Published in: LIPIcs, Volume 77, 33rd International Symposium on Computational Geometry (SoCG 2017)
Abdul Basit, Zeev Dvir, Shubhangi Saraf, and Charles Wolf. On the Number of Ordinary Lines Determined by Sets in Complex Space. In 33rd International Symposium on Computational Geometry (SoCG 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 77, pp. 15:1-15:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)
@InProceedings{basit_et_al:LIPIcs.SoCG.2017.15, author = {Basit, Abdul and Dvir, Zeev and Saraf, Shubhangi and Wolf, Charles}, title = {{On the Number of Ordinary Lines Determined by Sets in Complex Space}}, booktitle = {33rd International Symposium on Computational Geometry (SoCG 2017)}, pages = {15:1--15:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-038-5}, ISSN = {1868-8969}, year = {2017}, volume = {77}, editor = {Aronov, Boris and Katz, Matthew J.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2017.15}, URN = {urn:nbn:de:0030-drops-71883}, doi = {10.4230/LIPIcs.SoCG.2017.15}, annote = {Keywords: Incidences, Combinatorial Geometry, Designs, Polynomial Method} }
Published in: LIPIcs, Volume 34, 31st International Symposium on Computational Geometry (SoCG 2015)
Zeev Dvir and Guangda Hu. Sylvester-Gallai for Arrangements of Subspaces. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 29-43, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{dvir_et_al:LIPIcs.SOCG.2015.29, author = {Dvir, Zeev and Hu, Guangda}, title = {{Sylvester-Gallai for Arrangements of Subspaces}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {29--43}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.29}, URN = {urn:nbn:de:0030-drops-51303}, doi = {10.4230/LIPIcs.SOCG.2015.29}, annote = {Keywords: Sylvester-Gallai, Locally Correctable Codes} }
Published in: LIPIcs, Volume 34, 31st International Symposium on Computational Geometry (SoCG 2015)
Zeev Dvir and Sivakanth Gopi. On the Number of Rich Lines in Truly High Dimensional Sets. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 584-598, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{dvir_et_al:LIPIcs.SOCG.2015.584, author = {Dvir, Zeev and Gopi, Sivakanth}, title = {{On the Number of Rich Lines in Truly High Dimensional Sets}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {584--598}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.584}, URN = {urn:nbn:de:0030-drops-51110}, doi = {10.4230/LIPIcs.SOCG.2015.584}, annote = {Keywords: Incidences, Combinatorial Geometry, Designs, Polynomial Method, Additive Combinatorics} }
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