Mathematics

[8651] Degree of regularity for HFE-

Jintai Ding Southern Chinese University of Technology, Guangzhou, China; Department of Mathematical Sciences, University of Cincinnati, USA Thorsten Kleinjung EPFL IC LACAL, Lausanne, Switzerland

TBD mathscidoc:2207.43109

IACR Cryptol. ePrint Arch., 2011.10
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[8652] Domain Wall Decorations, Anomalies and Spectral Sequences in Bosonic Topological Phases

Qing-Rui Wang Department of Physics, Yale University, New Haven, CT 06511-8499, USA Shang-Qiang Ning Department of Physics and HKU-UCAS Joint Institute for Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong, China Meng Cheng Department of Physics, Yale University, New Haven, CT 06511-8499, USA

arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.74020

2021.4
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[8653] Spheres, charges, instantons, and bootstrap: A five-dimensional odyssey

Chi-Ming Chang Center for Quantum Mathematics and Physics (QMAP), University of California, Davis, CA 95616, U.S.A. Martin Fluder Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, U.S.A. Ying-Hsuan Lin Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, U.S.A. Yifan Wang Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, U.S.A.

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74011

Journal of High Energy Physics, 2018, (123), 2018.3
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[8654] Algebraic Cryptanalysis of SMS4: Gröbner Basis Attack and SAT Attack Compared

Jeremy Erickson The University of North Carolina at Chapel Hill, Chapel Hill, NC 27514 Jintai Ding The University of Cincinnati, Cincinnati, OH 45221; South China University of Technology, Guangzhou, China Chris Christensen Northern Kentucky University, Highland Heights, KY 41099

TBD mathscidoc:2207.43042

ICISC 2009, 73–86, 2009.12
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[8655] Practical Algebraic Cryptanalysis for Dragon-Based Cryptosystems

Johannes Buchmann TU Darmstadt, FB Informatik Hochschulstrasse 10, 64289 Darmstadt, Germany Stanislav Bulygin Center for Advanced Security Research Darmstadt (CASED) Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati OH 45220, USA Wael Said Abd Elmageed Mohamed TU Darmstadt, FB Informatik Hochschulstrasse 10, 64289 Darmstadt, Germany Fabian Werner TU Darmstadt

TBD mathscidoc:2207.43050

CANS 2010, 140-155, 2010.12
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[8656] Inverting HFE Systems Is Quasi-Polynomial for All Fields

Jintai Ding South China University of Technology, Guangzhou, China; Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USA Timothy J. Hodges Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USA

TBD mathscidoc:2207.43057

CRYPTO 2011, 724–742, 2011.8
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[8657] Post-Quantum Secure Remote Password Protocol from RLWE Problem

Xinwei Gao Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, Beijing Jiaotong University, Beijing 100044, People’s Republic of China Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati 45219, USA Jiqiang Liu Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, Beijing Jiaotong University, Beijing 100044, People’s Republic of China Lin Li Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, Beijing Jiaotong University, Beijing 100044, People’s Republic of China

TBD mathscidoc:2207.43079

Inscrypt 2017, 99–116, 2017.11
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[8658] A Complete and Optimized Key Mismatch Attack on NIST Candidate NewHope

Yue Qin China University of Geosciences, Wuhan 430074, China Chi Cheng China University of Geosciences, Wuhan 430074, China Jintai Ding University of Cincinnati, Cincinnati 45219, USA

TBD mathscidoc:2207.43086

ESORICS 2019, 504–520, 2019.9
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[8659] Breaking the Symmetry: a Way to Resist the New Differential Attack

Jintai Ding Dept. of Mathematics and Computer Sciences, University of Cincinnati Bo-Yin Yang Institute of Information Sciences, Academia Sinica; Taiwan Information Security Center Chen-Mou Cheng Dept. of Electrical Engineering, National Taiwan University Owen Chen Taiwan Information Security Center Vivien Dubois Ecole Normale Superieur

TBD mathscidoc:2207.43101

IACR Cryptol. ePrint Arch., 2007.9
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[8660] Fast Algorithm to solve a family of SIS problem with l_\infty norm

Jintai Ding Southern Chinese University of Technology; University of Cincinnati

TBD mathscidoc:2207.43107

IACR Cryptol. ePrint Arch., 2010.11
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[8661] Universal Quantum Computation by a Single Photon

Xiaoqin Gao Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria; Vienna Center for Quantum Science & Technology (VCQ), Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria; National Mobile Communications Research Laboratory, Quantum Information Research Center, Southeast University, Sipailou 2, 210096 Nanjing, China Zhengwei Liu YMSC and Department of Mathematics, Tsinghua University, Beijing 100084, China

TBD mathscidoc:2207.43009

2019.9
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[8662] A defect of the implementation schemes of the TTM cryptosystem

Jintai Ding Dieter Schmidt

TBD mathscidoc:2207.43099

IACR Cryptol. ePrint Arch., 2013.5
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[8663] Higher-Dimensional Open Quantum Walk in Environment of Quantum Bernoulli Noises

Wang Ce School of Mathematics and Statistics & Center for Mathematical Sciences Huazhong University of Science and Technology

arXiv subject: Mathematical Physics (math-ph) arXiv subject: Probability (math.PR) mathscidoc:2205.54002

Stochastics and Dynamics, 22, 2021.7
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[8664] MXL_3: An Efficient Algorithm for Computing Gröbner Bases of Zero-Dimensional Ideals

Mohamed Saied Emam Mohamed TU Darmstadt, FB Informatik Hochschulstrasse 10, 64289 Darmstadt, Germany Daniel Cabarcas Department of Mathematical Sciences, University of Cincinnati, South China University of Technology Jintai Ding Department of Mathematical Sciences, University of Cincinnati, South China University of Technology Johannes Buchmann TU Darmstadt, FB Informatik Hochschulstrasse 10, 64289 Darmstadt, Germany Stanislav Bulygin Center for Advanced Security Research Darmstadt (CASED)

TBD mathscidoc:2207.43041

ICISC 2009, 87–100, 2009.12
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[8665] A Key Exchange Based on the Short Integer Solution Problem and the Learning with Errors Problem

Jintai Ding Department of Mathematical Science, University of Cincinnati, Cincinnati, USA Kevin Schmitt Department of Mathematical Science, University of Cincinnati, Cincinnati, USA Zheng Zhang Department of Mathematical Science, University of Cincinnati, Cincinnati, USA

TBD mathscidoc:2207.43087

C2SI 2019, 105–117, 2019.4
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[8666] Small Odd Prime Field Multivariate PKCs

Anna Inn-Tung Chen School of EECS, National Taiwan University, Taipei, Taiwan Ming-Shing Chen Institute of Information Science, Academia Sinica, Taipei, Taiwan Tien-Ren Chen Institute of Information Science, Academia Sinica, Taipei, Taiwan Chen-Mou Cheng School of EECS, National Taiwan University, Taipei, Taiwan Jintai Ding Dept. of Math. Sciences, U. of Cincinnati, Cincinnati, Ohio, USA Eric Li-Hsiang Kuo Institute of Information Science, Academia Sinica, Taipei, Taiwan Frost Yu-Shuang Li School of EECS, National Taiwan University, Taipei, Taiwan Bo-Yin Yang Institute of Information Science, Academia Sinica, Taipei, Taiwan

TBD mathscidoc:2207.43104

IACR Cryptol. ePrint Arch., 2008.12
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[8667] Mutant Zhuang-Zi Algorithm

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45220, USA; Department of Mathematics, Southern Chinese University of Technology Dieter S. Schmidt Department of Computer Science, University of Cincinnati, Cincinnati, OH 45220, USA

TBD mathscidoc:2207.43048

PQCrypto 2010, 28-40, 2010.5
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[8668] Growth of the Ideal Generated by a Quadratic Boolean Function

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025 USA Timothy J. Hodges Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025 USA Victoria Kruglov Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025 USA

TBD mathscidoc:2207.43049

PQCrypto 2010, 13–27, 2010.5
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[8669] Flexible Partial Enlargement to Accelerate Gröbner Basis Computation over $\mathbb{F}_2$

Johannes Buchmann FB Informatik, TU Darmstadt, Hochschulstrasse 10, 64289, Darmstadt, Germany Daniel Cabarcas Department of Mathematical Sciences, University of Cincinnati Jintai Ding Department of Mathematical Sciences, University of Cincinnati, South China University of Technology Mohamed Saied Emam Mohamed FB Informatik, TU Darmstadt, Hochschulstrasse 10, 64289, Darmstadt, Germany

TBD mathscidoc:2207.43051

AFRICACRYPT 2010, 69–81, 2010.5
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[8670] Towards Algebraic Cryptanalysis of HFE Challenge 2

Mohamed Saied Emam Mohamed TU Darmstadt, FB Informatik Hochschulstrasse 10, 64289 Darmstadt, Germany Jintai Ding Department of Mathematical Sciences, University of Cincinnati, South China University of Technology Johannes Buchmann TU Darmstadt, FB Informatik Hochschulstrasse 10, 64289 Darmstadt, Germany

TBD mathscidoc:2207.43052

ISA 2011, 123–131, 2011.8
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[8671] An Algebraic Broadcast Attack against NTRU

Jintai Ding Chongqing University; Department of Mathematical Sciences, University of Cincinnati Yanbin Pan Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Yingpu Deng Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

TBD mathscidoc:2207.43059

ACISP 2012, 124–137, 2012.7
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[8672] Provably Secure Password Authenticated Key Exchange Based on RLWE for the Post-Quantum World

Jintai Ding University of Cincinnati, Cincinnati, USA Saed Alsayigh University of Cincinnati, Cincinnati, USA Jean Lancrenon University of Luxembourg, Luxembourg City, Luxembourg Saraswathy RV University of Cincinnati, Cincinnati, USA Michael Snook University of Cincinnati, Cincinnati, USA

TBD mathscidoc:2207.43078

CT-RSA 2017, 183–204, 2017.2
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[8673] Cryptanalysis of an implementation scheme of the Tamed Transformation Method cryptosystem

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA Timonthy Hodges Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA

TBD mathscidoc:2207.43100

IACR Cryptol. ePrint Arch., 2003.5
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[8674] Path complexes and their homologies

A. A. Grigor’yan Department of Mathematics, University of Bielefeld, 33613, Bielefeld, Germany; Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, P.R. China Yu. V. Muranov Faculty of Mathematics and Computer Sciences, University of Warmia and Mazury, Olsztyn, Poland Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

TBD mathscidoc:2207.43007

Journal of Mathematical Sciences, 248, (5), 564–599, 2020.6
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[8675] Symplectic Flatness and Twisted Primitive Cohomology

Li-Sheng Tseng University of California, Irvine Jiawei Zhou Yau Mathematical Sciences Center, Tsinghua University

Differential Geometry Symplectic Geometry Algebraic Topology and General Topology mathscidoc:2209.10001

The Journal of Geometric Analysis, 32, (282), 2022.8
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