Mathematics

[76] The Beauty and the Beasts—The Hard Cases in LLL Reduction

Saed Alsayigh Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA Tsuyoshi Takagi Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan; CREST, Japan Science and Technology Agency, Kawaguchi, Japan Yuntao Wang Graduate School of Mathematics, Kyushu University, Fukuoka, Japan

TBD mathscidoc:2207.43075

IWSEC 2017, 19–35, 2017.8
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[77] HMFEv - An Efficient Multivariate Signature Scheme

Albrecht Petzoldt National Institute for Standards and Technology, Gaithersburg, MD, USA Ming-Shing Chen Academia Sinica, Taipei, Taiwan Jintai Ding University of Cincinnati, Ohio, USA Bo-Yin Yang Academia Sinica, Taipei, Taiwan

TBD mathscidoc:2207.43074

PQCrypto 2017, 205–223, 2017.6
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[78] Cryptanalysis of a Public Key Cryptosystem Based on Diophantine Equations via Weighted LLL Reduction

Jintai Ding University of Cincinnati, Cincinnati, USA Momonari Kudo Graduate School of Mathematics, Kyushu University, Fukuoka, Japan Shinya Okumura Institute of Systems, Information Technologies and Nanotechnologies, Fukuoka, Japan Tsuyoshi Takagi Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan Chengdong Tao South China University of Technology, Guangzhou, China

TBD mathscidoc:2207.43073

IWSEC 2016, 305–315, 2016.9
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[79] Extension Field Cancellation: A New Central Trapdoor for Multivariate Quadratic Systems

Alan Szepieniec Department of Electrical Engineering, ESAT/COSIC, KU Leuven, Leuven, Belgium; iMinds, Ghent, Belgium Jintai Ding University of Cincinnati, Cincinnati, OH, USA Bart Preneel Department of Electrical Engineering, ESAT/COSIC, KU Leuven, Leuven, Belgium; iMinds, Ghent, Belgium

TBD mathscidoc:2207.43072

PQCrypto 2016, 182–196, 2016.2
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[80] Simple Matrix – A Multivariate Public Key Cryptosystem (MPKC) for Encryption

Chengdong Tao South China University of Technology, China Hong Xiang ChongQing University, China Albrecht Petzoldt Technische Universität Darmstadt, Germany Jintai Ding ChongQing University, China; University of Cincinnati, OH, USA

Group Theory and Lie Theory mathscidoc:2207.17001

Finite Fields and Their Applications, 35, 352-368, 2015.9
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[81] Design Principles for HFEv- Based Multivariate Signature Schemes

Albrecht Petzoldt Technische Universität Darmstadt, Darmstadt, Germany Ming-Shing Chen Academia Sinica, Taipei, Taiwan; National Taiwan University, Taipei, Taiwan Bo-Yin Yang Academia Sinica, Taipei, Taiwan Chengdong Tao South China University of Technology, Guangzhou, China Jintai Ding ChongQing University, Chongqing, China; University of Cincinnati, Cincinnati, OH, USA

TBD mathscidoc:2207.43071

ASIACRYPT 2015, 311–334, 2015.12
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[82] Authenticated Key Exchange from Ideal Lattices

Jiang Zhang Trusted Computing and Information Assurance Laboratory, SKLCS, Institute of Software, Chinese Academy of Sciences, Beijing, China Zhenfeng Zhang Trusted Computing and Information Assurance Laboratory, SKLCS, Institute of Software, Chinese Academy of Sciences, Beijing, China Jintai Ding Heshi Inc., Shixenze, China; Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA Michael Snook Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA Özgür Dagdelen Technische Universität Darmstadt, Darmstadt, Germany

TBD mathscidoc:2207.43070

EUROCRYPT 2015, 719–751, 2015.4
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[83] Cryptanalysis and Improvement of a k-out-of-n Oblivious Transfer Protocol

Qinglong Wang Jintai Ding CPS Lab, Chongqing University, Chongqing, China; Department of Mathematics, University of Cincinnati, Cincinnati, OH 45220, USA

TBD mathscidoc:2207.43069

Cryptologia, 38, (4), 370-376, 2014.8
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[84] Inverting square systems algebraically is exponential

Jintai Ding CPS Lab, Chongqing University, China; Department of Mathematical Sciences, University of Cincinnati, USA Crystal Clough Department of Mathematical Sciences, University of Cincinnati, USA Roberto Araujo Faculdade de Computação, Universidade Federal do Pará, Brazil

Information Theory Algebraic Geometry mathscidoc:2207.19001

Finite Fields and Their Applications, 26, 32-48, 2014.3
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[85] Provably Secure Group Key Management Approach Based upon Hyper-Sphere

Shaohua Tang School of Computer Science and Engineering, South China University of Technology, Guangzhou, Guangdong, P.R.China Lingling Xu School of Computer Science and Engineering, South China University of Technology, Guangzhou, Guangdong, P.R.China Niu Liu School of Computer Science and Engineering, South China University of Technology, Guangzhou, Guangdong, P.R.China Xinyi Huang School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, Fujian, P.R. China Jintai Ding Department of Mathematical Sciences, University of Cincinnati, OH Zhiming Yang School of Computer Science and Engineering, South China University of Technology, Guangzhou, Guangdong, P.R.China

TBD mathscidoc:2207.43068

IEEE Transactions on Parallel and Distributed Systems, 25, (12), 3253-3263, 2014.12
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[86] The Cubic Simple Matrix Encryption Scheme

Jintai Ding University of Cincinnati, Ohio, USA and Academia Sinica, Taiwan Albrecht Petzoldt TU Darmstadt, Germany Lih-chung Wang National Dong Hwa University, Taiwan

TBD mathscidoc:2207.43067

PQCrypto 2014, 76–87, 2014.10
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[87] ZHFE, a New Multivariate Public Key Encryption Scheme

Jaiberth Porras Universidad Nacional de Colombia, Calle 59A No 63-20, Medellin, Colombia John Baena Universidad Nacional de Colombia, Calle 59A No 63-20, Medellin, Colombia Jintai Ding University of Cincinnati, 4199 French Hall West, Cincinnati, OH 45221-0025, USA; Chinese Academy of Sciences, 52 Sanlihe Rd., Beijing, China

TBD mathscidoc:2207.43066

PQCrypto 2014, 229–245, 2014.10
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[88] Solving Degree and Degree of Regularity for Polynomial Systems over a Finite Fields

Jintai Ding University of Cincinnati and Chongqing University Dieter Schmidt University of Cincinnati

TBD mathscidoc:2207.43065

Number Theory and Cryptography, 34–49, 2013.1
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[89] A variant of rainbow with shorter secret key and faster signature generation

Takanori Yasuda Institute of Systems, Information Technologies and Nanotechnologies Jintai Ding Chongqing University; University of Cincinnati Tsuyoshi Takagi Institute of Mathematics for Industry, Kyushu University Tsuyoshi Takagi Institute of Systems, Information Technologies and Nanotechnologies; Department of Informatics, Kyushu University

TBD mathscidoc:2207.43064

AsiaPKC 2013, 57–62, 2013.5
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[90] A Practical Attack on Patched MIFARE Classic

Yi-Hao Chiu National Taiwan University, Taipei, Taiwan Wei-Chih Hong Academia Sinica, Taipei, Taiwan Li-Ping Chou Chinese Culture University, Taipei, Taiwan Jintai Ding University of Cincinnati, Cincinnati, USA; Chongqing University, Chongqing, China Bo-Yin Yang Academia Sinica, Taipei, Taiwan Chen-Mou Cheng National Taiwan University, Taipei, Taiwan

TBD mathscidoc:2207.43063

Inscrypt 2013, 150–164, 2013.11
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[91] Degree of Regularity for HFEv and HFEv-

Jintai Ding University of Cincinnati, Cincinnati OH, USA; Chongqing University, China Bo-Yin Yang Academia Sinica, Taipei, Taiwan

TBD mathscidoc:2207.43062

PQCrypto 2013, 52–66, 2013.6
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[92] Simple Matrix Scheme for Encryption

Chengdong Tao South China University of Technology, China Adama Diene Department of Math. Sciences, UAE University - Al-Ain, United Arab Emirates Shaohua Tang South China University of Technology, China Jintai Ding University of Cincinnati, Ohio, USA and ChongQing University, China

TBD mathscidoc:2207.43061

PQCrypto 2013, 231–242, 2013.6
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[93] Multivariate cryptographic systems

Jintai Ding University of Cincinnati

TBD mathscidoc:2207.43060

Handbook of Finite Fields, 764-783, 2013.1
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[94] 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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[95] Embedded Surface Attack on Multivariate Public Key Cryptosystems from Diophantine Equations

Jintai Ding Chongqing University; University of Cincinnati Ai Ren University of Cincinnati Chengdong Tao South China University of Technology

TBD mathscidoc:2207.43058

Inscrypt 2012, 122–136, 2012.11
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[96] 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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[97] Kipnis-Shamir Attack on Unbalanced Oil-Vinegar Scheme

Weiwei Cao 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 University of Cincinnati, OH 45221, USA; South China University of Technology, Guangzhou 510640, China Zhijun Yin University of Cincinnati, OH 45221, USA

TBD mathscidoc:2207.43056

ISPEC 2011, 168-180, 2011.5
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[98] Linear algebra to compute syzygies and Gröbner bases

Daniel Cabarcas Dept. of Mathematical Sciences, University of Cincinnati, 2600 Clifton ave. Cincinnati, OH 45221 Jintai Ding Dept. of Mathematical Sciences, University of Cincinnati, 2600 Clifton ave. Cincinnati, OH 45221; South China University of Technology, China

TBD mathscidoc:2207.43055

ISSAC 2011, 67–74, 2011.6
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[99] Algebraic solvers for certain lattice-related problems

Jintai Ding Southern China University of technology; University of Cincinnati

TBD mathscidoc:2207.43054

ITW 2011, 405-409, 2011.10
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[100] High-Speed Hardware Implementation of Rainbow Signature on FPGAs

Shaohua Tang School of Computer Science & Engineering, South China University of Technology, Guangzhou, China Haibo Yi School of Computer Science & Engineering, South China University of Technology, Guangzhou, China Jintai Ding Department of Applied Mathematics, South China University of Technology, Guangzhou, China; Department of Mathematical Sciences, University of Cincinnati, OH, USA Huan Chen School of Computer Science & Engineering, South China University of Technology, Guangzhou, China Guomin Chen School of Computer Science & Engineering, South China University of Technology, Guangzhou, China

TBD mathscidoc:2207.43053

PQCrypto 2011, 228-243, 2011.11
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