Mathematics

[151] 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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[152] 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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[153] 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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[154] 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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[155] 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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[156] 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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[157] 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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[158] 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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[159] 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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[160] 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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[161] 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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[162] 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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[163] 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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[164] 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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[165] 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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[166] 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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[167] Cryptanalysis of the new TTS scheme in CHES 2004

Jintai Ding University of Cincinnati, Cincinnati, 45220, OH, USA Dieter Schmidt University of Cincinnati, Cincinnati, 45220, OH, USA Zhijun Yin University of Cincinnati, Cincinnati, 45220, OH, USA

TBD mathscidoc:2207.43026

International Journal of Information Security, 5, (4), 231–240, 2006.4
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[168] Breaking a New Instance of TTM Cryptosystems

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 Jianyu Li State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing, 100049, China Crystal Updegrove 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:2207.43025

ACNS 2006, 210–225, 2006.6
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[169] ℓ-Invertible Cycles for M ultivariate Quadratic (MQ) Public Key Cryptography

Jintai Ding University of Cincinnati and Technische Universität Darmstadt Christopher Wolf Ecole Normale Superieur Bo-Yin Yang Institute of Information Science, Academia Sinica and TWISC

TBD mathscidoc:2207.43024

Public Key Cryptography 2007, 266-281, 2007.4
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[170] Cryptanalysis of Two New Instances of TTM Cryptosystem

Xuyun Nie School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; State Key Laboratory of Information Security Graduate School of Chinese Academy of Sciences Beijing 100049, China Xin Jiang 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

TBD mathscidoc:2207.43023

IACR Cryptology ePrint Archive, 381, 2007.9
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[171] Secure PRNGs from Specialized Polynomial Maps over Any F_q

Michael Feng-Hao Liu Department of Computer Science, Brown University, Providence RI, USA Chi-Jen Lu Institute of Information Science, Academia Sinica, Taipei, Taiwan Bo-Yin Yang Institute of Information Science, Academia Sinica, Taipei, Taiwan Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati OH, USA

TBD mathscidoc:2207.43022

IACR Cryptology ePrint Archive, 405, 2007.10
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[172] Zhuang-Zi: A New Algorithm for Solving Multivariate Polynomial Equations over a Finite Field

Jintai Ding Department of Mathematical Sciences, University of Cincinnati Jason E. Gower Department of Mathematical Sciences, University of Cincinnati Dieter S. Schmidt Department of Electrical & Computer Engineering and Computer Science, University of Cincinnati

TBD mathscidoc:2207.43021

IACR Cryptology ePrint Archive, 2006, (038), 2006.3
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[173] High Order Linearization Equation (HOLE) Attack on Multivariate Public Key Cryptosystems

Jintai Ding Department of Mathematical Sciences,University of Cincinnati, OH, 45221, USA; TU Darmstadt, Fachbereich Informatik, 64289, Darmstadt, Germany Lei Hu State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China Xuyun Nie State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China 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, OH, 45221, USA

TBD mathscidoc:2207.43020

Public Key Cryptography – PKC 2007, 233-248, 2007.4
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[174] Rainbow, a New Multivariable Polynomial Signature Scheme

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221, USA Dieter Schmidt Department of Electrical & Computer Engineering and Computer Science, University of Cincinnati, Cincinnati, OH, 45221, USA

TBD mathscidoc:2207.43019

ACNS 2005, 164-175, 2005.6
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[175] Perturbed Hidden Matrix Cryptosystems

Zhiping Wu State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, 100039-08, Beijing, China Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA Jason E. Gower Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA Dingfeng Ye State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, 100039-08, Beijing, China

TBD mathscidoc:2207.43018

ICCSA, 2, 595–602, 2005.5
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