Mathematics

[51] Multivariate Public Key Cryptosystems, Second Edition

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA Albrecht Petzoldt Department of Computer Science, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany Dieter S. Schmidt Department of Electrical Engineering and Computer Science, University of Cincinnati, Springboro, USA

TBD mathscidoc:2207.43093

Advances in Information Security, 80, 2020.1
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[52] Giophantus distinguishing attack is a low dimensional learning with errors problem

Jintai Ding University of Cincinnati, Cincinnati, OH 45219, USA Joshua Deaton University of Cincinnati, Cincinnati, OH 45219, USA Kurt Schmidt University of Cincinnati, Cincinnati, OH 45219, USA

Information Theory mathscidoc:2207.19002

Advances in Mathematics of Communications, 14, (4), 573-577, 2020.11
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[53] Cryptanalysis of the Lifted Unbalanced Oil Vinegar Signature Scheme

Jintai Ding University of Cincinnati, Cincinnati, OH, USA Joshua Deaton University of Cincinnati, Cincinnati, OH, USA Kurt Schmidt University of Cincinnati, Cincinnati, OH, USA Vishakha University of Cincinnati, Cincinnati, OH, USA Zheng Zhang University of Cincinnati, Cincinnati, OH, USA

TBD mathscidoc:2207.43092

CRYPTO 2020, 279–298, 2020.8
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[54] A Complete Cryptanalysis of the Post-Quantum Multivariate Signature Scheme Himq-3

Jintai Ding Department of Mathematical Science, University of Cincinnati, Cincinnati, USA Zheng Zhang Department of Mathematical Science, University of Cincinnati, Cincinnati, USA Joshua Deaton Department of Mathematical Science, University of Cincinnati, Cincinnati, USA Lih-Chung Wang Department of Applied Mathematics, National Dong Hwa University, Shoufeng, Taiwan

TBD mathscidoc:2207.43091

ICICS 2020, 422-440, 2020.8
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[55] Identity-Based Signature Schemes for Multivariate Public Key Cryptosystems

Jiahui Chen Faculty of Computer, Guangdong University of Technology, Guangzhou, China Jie Ling Faculty of Computer, Guangdong University of Technology, Guangzhou, China Jianting Ning School of Computing, National University of Singapore, Singapore, Singapore Jintai Ding University of Cincinnati, Cincinnati, OH, USA

TBD mathscidoc:2207.43090

The Computer Journal, 62, (8), 1132–1147, 2019.3
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[56] A New Proof of Work for Blockchain Based on Random Multivariate Quadratic Equations

Jintai Ding University of Cincinnati, Cincinnati, USA

TBD mathscidoc:2207.43089

ACNS 2019, 97–107, 2019.6
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[57] One Sample Ring-LWE with Rounding and Its Application to Key Exchange

Jintai Ding University of Cincinnati, Cincinnati, USA Xinwei Gao Beijing Jiaotong University, Beijing, China Tsuyoshi Takagi The University of Tokyo, Tokyo, Japan; CREST, Japan Science and Technology Agency, Kawaguchi, Japan Yuntao Wang The University of Tokyo, Tokyo, Japan

TBD mathscidoc:2207.43088

ACNS 2019, 323–343, 2019.6
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[58] 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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[59] 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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[60] A Framework for Universally Composable Oblivious Transfer from One-Round Key-Exchange

Pedro Branco SQIG-Instituto de Telecomunicações, Lisbon, Portugal; Department of Mathematics, IST-University of Lisbon, Lisbon, Portugal Jintai Ding University of Cincinnati, Cincinnati, USA Manuel Goulão SQIG-Instituto de Telecomunicações, Lisbon, Portugal; Department of Mathematics, IST-University of Lisbon, Lisbon, Portugal Paulo Mateus SQIG-Instituto de Telecomunicações, Lisbon, Portugal; Department of Mathematics, IST-University of Lisbon, Lisbon, Portugal

TBD mathscidoc:2207.43085

IMACC 2019, 78–101, 2019.12
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[61] Efficient Implementation of Password-based Authenticated Key Exchange from RLWE and Post-Quantum TLS

Xinwei Gao Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, Beijing Jiaotong University Jintai Ding Department of Mathematical Sciences, University of Cincinnati Lin Li Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, Beijing Jiaotong University Saraswathy RV Department of Mathematical Sciences, University of Cincinnati Jiqiang Liu Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, Beijing Jiaotong University

TBD mathscidoc:2207.43084

International Journal of Network Security, 20, (5), 923-930, 2018.9
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[62] Practical Randomized RLWE-Based Key Exchange Against Signal Leakage Attack

Xinwei Gao Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, Beijing Jiaotong University, Beijing 100044, P.R.China Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45219 Lin Li Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, Beijing Jiaotong University, Beijing 100044, P.R.China Jiqiang Liu Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, Beijing Jiaotong University, Beijing 100044, P.R.China

TBD mathscidoc:2207.43083

IEEE Transactions on Computers, 67, (11), 1584-1593, 2018.2
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[63] Complete Attack on RLWE Key Exchange with Reused Keys, Without Signal Leakage

Jintai Ding University of Cincinnati, Cincinnati, USA Scott Fluhrer Cisco Systems, San Jose, USA Saraswathy Rv University of Cincinnati, Cincinnati, USA

TBD mathscidoc:2207.43082

ACISP 2018, 467–486, 2018.7
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[64] Improved Cryptanalysis of HFEv- via Projection

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, USA Ray Perlner National Institute of Standards and Technology, Gaithersburg, MD, USA Albrecht Petzoldt National Institute of Standards and Technology, Gaithersburg, MD, USA Daniel Smith-Tone National Institute of Standards and Technology, Gaithersburg, MD, USA; Department of Mathematics, University of Louisville, Louisville, KY, USA

TBD mathscidoc:2207.43081

PQCrypto 2018, 375–395, 2018.4
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[65] Current State of Multivariate Cryptography

Jintai Ding University of Cincinnati Albrecht Petzoldt Kyushu University

TBD mathscidoc:2207.43080

IEEE Security & Privacy, 15, (4), 28-36, 2017.8
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[66] 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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[67] 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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[68] Leakage of signal function with reused keys in RLWE key exchange

Jintai Ding University of Cincinnati, Ohio, USA Saed Alsayigh University of Cincinnati, Ohio, USA Saraswathy RV University of Cincinnati, Ohio, USA Scott Fluhrer Cisco Systems, USA Xiaodong Lin Rutgers University, USA

TBD mathscidoc:2207.43077

ICC 2017, 1-6, 2017.5
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[69] Fast Discretized Gaussian Sampling and Post-quantum TLS Ciphersuite

Xinwei Gao 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 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 R. V. Saraswathy Department of Mathematical Sciences, University of Cincinnati, Cincinnati 45219, USA Zhe Liu APSIA, Interdisciplinary Centre for Security, Reliability and Trust (SnT), University of Luxembourg, Luxembourg City, Luxembourg

TBD mathscidoc:2207.43076

ISPEC 2017, 551–565, 2017.12
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[70] 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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[71] 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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[72] 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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[73] 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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[74] 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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[75] 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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