Mathematics

[101] 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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[102] 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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[103] 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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[104] 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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[105] Cryptanalysis of Two Quartic Encryption Schemes and One Improved MFE Scheme

Weiwei Cao State Key Laboratory of Information Security, Graduate University of Chinese Academy of Sciences, Beijing 100049, China Xiuyun Nie School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China Lei Hu State Key Laboratory of Information Security, Graduate University of Chinese Academy of Sciences, Beijing 100049, China Xiling Tang South China University of Technology, Guangzhou 510640, China Jintai Ding Department of Mathematical Sciences, University of Cincinnati, OH 45221, USA; South China University of Technology, Guangzhou 510640, China

TBD mathscidoc:2207.43047

PQCrypto 2010, 41–60, 2010.5
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[106] Secure Variants of the Square Encryption Scheme

Crystal Lee Clough Nanyang Technological University, Singapore Jintai Ding University of Cincinnati, Cincinnati, OH USA; Southern Chinese University of Technology

TBD mathscidoc:2207.43046

PQCrypto 2010, 153–164, 2010.5
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[107] Algebraic Attack on the MQQ Public Key Cryptosystem

Mohamed Saied Emam Mohamed TU Darmstadt, FB Informatik, Hochschulstrasse 10, 64289 Darmstadt, Germany Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati OH 45220, USA Johannes Buchmann TU Darmstadt, FB Informatik, Hochschulstrasse 10, 64289 Darmstadt, Germany Fabian Werner TU Darmstadt, FB Informatik, Hochschulstrasse 10, 64289 Darmstadt, Germany

TBD mathscidoc:2207.43045

CANS 2009, 392–401, 2009.12
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[108] SSE Implementation of Multivariate PKCs on Modern x86 CPUs

Anna Inn-Tung Chen National Taiwan University, Taipei, Taiwan Ming-Shing Chen Academia Sinica, Taipei, Taiwan Tien-Ren Chen Academia Sinica, Taipei, Taiwan Chen-Mou Cheng National Taiwan University, Taipei, Taiwan Jintai Ding University of Cincinnati, Cincinnati, Ohio, USA Eric Li-Hsiang Kuo Academia Sinica, Taipei, Taiwan Frost Yu-Shuang Lee National Taiwan University, Taipei, Taiwan Bo-Yin Yang Academia Sinica, Taipei, Taiwan

TBD mathscidoc:2207.43044

CHES 2009, 33–48, 2009.9
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[109] Square, a New Multivariate Encryption Scheme

Crystal Clough Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA John Baena Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA; Universidad Nacional de Colombia, Carrera 65, Medell´ın, Colombia Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA; College of Sciences, South China University of Technology, Guangzhou, China Bo-Yin Yang Institute of Information Science, Academia Sinica, Taipei, Taiwan Ming-shing Chen Institute of Information Science, Academia Sinica, Taipei, Taiwan

TBD mathscidoc:2207.43043

CT-RSA 2009, 252–264, 2009.4
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[110] 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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[111] 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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[112] Overview of Cryptanalysis Techniques in Multivariate Public Key Cryptography

Olivier Billet Orange Labs, 38–40 rue du Général Leclerc, 92794 Issy-les-Moulineaux, France Jintai Ding Department of Mathematical Sciences, Department of Computer Sciences, University of Cincinnati, Cincinnati, OH 45220, USA

TBD mathscidoc:2207.43040

Gröbner Bases, Coding, and Cryptography, 263–283, 2009.5
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[113] New Differential-Algebraic Attacks and Reparametrization of Rainbow

Jintai Ding Dept. of Mathematical Sciences, University of Cincinnati, USA Bo-Yin Yang IIS, Academia Sinica, Taiwan Chia-Hsin Owen Chen IIS, Academia Sinica, Taiwan Ming-Shing Chen IIS, Academia Sinica, Taiwan Chen-Mou Cheng Dept. of Elec. Eng., Nat’l Taiwan University, Taiwan

TBD mathscidoc:2207.43039

ACNS 2008, 242-257, 2008.6
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[114] Fast multivariate signature generation in hardware: The case of rainbow

Sundar Balasubramanian Department of Electrical and Computer Engineering, University of Cincinnati, OH Andrey Bogdanov Horst-Gortz Institute for IT-Security, Ruhr-University Bochum, Germany Andy Rupp Horst-Gortz Institute for IT-Security, Ruhr-University Bochum, Germany Jintai Ding Department of Mathematical Sciences, University of Cincinnati, OH Harold W Carter Department of Electrical and Computer Engineering, University of Cincinnati, OH

TBD mathscidoc:2207.43038

ASAP 2008, 25-30, 2008.7
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[115] Could SFLASH be Repaired?

Jintai Ding Dept. of Mathematics and Computer Sciences, University of Cincinnati Vivien Dubois CELAR, France Bo-Yin Yang Institute of Information Sciences, Academia Sinica, Taiwan Owen Chia-Hsin Chen Institute of Information Sciences, Academia Sinica, Taiwan Chen-Mou Cheng Dept. of Electrical Engineering, National Taiwan University

TBD mathscidoc:2207.43037

ICALP 2008, 691-701, 2008.7
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[116] Breaking Instance II of New TTM Cryptosystems

Xuyun Nie School of Computer Science and Engineering, University of Electronic Science and Technology, Chengdu, China Xin Jiang State Key Laboratory of Information Security, Chinese Academy of Sciences, Beijing, China Lei Hu State Key Laboratory of Information Security, Chinese Academy of Sciences, Beijing, China Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, USA Zhiguang Qin School of Computer Science and Engineering, University of Electronic Science and Technology, Chengdu, China

TBD mathscidoc:2207.43036

IIH-MSP 2008, 1332-1335, 2008.8
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[117] Algebraic Attack on HFE Revisited

Jintai Ding University of Cincinnati Dieter Schmidt University of Cincinnati Fabian Werner Technical University of Darmstadt

TBD mathscidoc:2207.43035

ISC 2008, 215–227, 2008.9
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[118] Square-Vinegar Signature Scheme

John Baena Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA; Department of Mathematics, National University of Colombia, Medellin, Colombia Crystal Clough Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA

TBD mathscidoc:2207.43034

PQCrypto 2008, 17–30, 2008.10
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[119] Cryptanalysis of Rational Multivariate Public Key Cryptosystems

Jintai Ding Department of Mathematical Sciences University of Cincinnati, Cincinnati, OH, 45220, USA John Wagner Department of Mathematical Sciences University of Cincinnati, Cincinnati, OH, 45220, USA

TBD mathscidoc:2207.43033

PQCrypto 2008, 124-136, 2008.10
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[120] MXL2: Solving Polynomial Equations over GF(2) Using an Improved Mutant Strategy

Mohamed Saied Emam Mohamed TU Darmstadt, FB Informatik, Hochschulstrasse 10, 64289 Darmstadt, Germany Wael Said Abd Elmageed Mohamed TU Darmstadt, FB Informatik, Hochschulstrasse 10, 64289 Darmstadt, Germany Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati OH 45220, USA Johannes Buchmann TU Darmstadt, FB Informatik, Hochschulstrasse 10, 64289 Darmstadt, Germany

TBD mathscidoc:2207.43032

PQCrypto 2008, 203-215, 2008.10
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[121] Analysis of the SMS4 Block Cipher

Fen Liu State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China Wen Ji State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China Lei Hu State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221, USA Shuwang Lv State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China Andrei Pyshkin Fachbereich Informatik, Technische Universit¨at Darmstadt, 64289 Darmstadt, Germany Ralf-Philipp Weinmann Fachbereich Informatik, Technische Universit¨at Darmstadt, 64289 Darmstadt, Germany

TBD mathscidoc:2207.43031

ACISP 2007, 158–170, 2007.7
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[122] Cryptanalysis of the TRMC-4 Public Key Cryptosystem

Xuyun Nie State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China Lei Hu State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA; Fachbereich Informatik, Technische Universit¨at Darmstadt, Germany Jianyu Li State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China John Wagner Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA

TBD mathscidoc:2207.43030

ACNS 2007, 104-115, 2007.6
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[123] Multivariates Polynomials for Hashing

Jintai Ding University of Cincinnati and Technische Universit¨at Darmstadt Bo-Yin Yang Institute of Information Science, Academia Sinica

TBD mathscidoc:2207.43029

Inscrypt 2007, 358-371, 2007.8
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[124] Kipnis-Shamir Attack on HFE Revisited

Xin Jiang State Key Lab of Information Security, Chinese Academy of Sciences, Beijing, China Jintai Ding University of Cincinnati, USA; Technical University of Darmstadt, Germany Lei Hu State Key Lab of Information Security, Chinese Academy of Sciences, Beijing, China

TBD mathscidoc:2207.43028

Inscrypt 2007, 399-411, 2007.8
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[125] Multivariate Public Key Cryptosystems

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, USA Jason E. Gower Department of Mathematical Sciences, University of Cincinnati, USA Dieter S. Schmidt Department of ECECS, University of Cincinnati, USA

TBD mathscidoc:2207.43027

Advances in Information Security, 25, 2006.1
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