Edit Profile (opens in new tab) Ding, Jintai Co-Author Distance Author ID: ding.jintai Published as: Ding, Jintai; Ding, J. Homepage: http://multisite.uc.edu/taft/research/taft-professors/jintai-ding External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · IdRef Documents Indexed: 116 Publications since 1993, including 2 Books and 5 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Reviewing Activity: 3 Reviews Co-Authors: 122 Co-Authors with 107 Joint Publications 3,203 Co-Co-Authors all top 5 Co-Authors 9 single-authored 13 Yang, Bo-Yin 12 Schmidt, Dieter S. 8 Hu, Lei 7 Feĭgin, Boris L’vovich 7 Petzoldt, Albrecht 7 Takagi, Tsuyoshi 7 Tao, Chengdong 6 Buchmann, Johannes A. 6 Deaton, Joshua 6 Hodges, Timothy J. 5 Chen, Ming-shing 5 Clough, Crystal Lee 4 Baena, John Bayron 4 Cheng, Chen-Mou 4 Gao, Xinwei 4 Gower, Jason E. 4 Mohamed, Mohamed Saied Emam 4 Nie, Xuyun 4 Wang, Yuntao 4 Yin, Zhijun 4 Zhang, Zheng 3 Cabarcas, Daniel 3 Iohara, Kenji 3 Li, Jianyu 3 Li, Lin 3 Liu, Jiqiang 3 Schmidt, Kurt 3 Werner, Fabian 2 Alsayigh, Saed 2 Bulygin, Stanislav V. 2 Cao, Weiwei 2 Diene, Adama 2 Frenkel, Igor B. 2 Khoroshkin, Sergey M. 2 Kim, Seungki 2 Kruglov, Victoria 2 Kudo, Momonari 2 Miwa, Tetsuji 2 Mohamed, Wael Said Abd Elmageed 2 Okumura, Shinya 2 Pakuliak, Stanislav Z. 2 Pan, Yanbin 2 Rv, Saraswathy 2 Smith-Tone, Daniel 2 Snook, Michael 2 Tang, Shaohua 2 Vishakha 2 Wang, Lih-Chung 2 Wolf, Christopher A. 1 Ahmadi, Omran 1 Albrecht, Martin R. 1 Araujo, Roberto 1 Ball, L. Simeon 1 Bernstein, Daniel Julius 1 Billet, Olivier 1 Blache, Régis 1 Blake, Ian F. 1 Blokhuis, Aart 1 Branco, Pedro 1 Carlet, Claude 1 Castro, Francis Noel 1 Chand Gupta, Kishan 1 Charpin, Pascale 1 Chase, Melissa 1 Chen, Anna Inn-Tung 1 Chen, Chia-Hsin Owen 1 Chen, Guomin 1 Chen, Hao 1 Chen, Huan 1 Chen, Owen Chia-Hsin 1 Chen, Tien-Ren 1 Cheng, Chi 1 Chiu, Yi-Hao 1 Chou, Li-Ping 1 Christensen, Chris 1 Cioabă, Sebastian M. 1 Cohen, Stephen D. 1 Colbourn, Charles J. 1 Coulter, Robert S. 1 Dagdelen, Özgür 1 de Smit, Bart 1 Deng, Yingpu 1 Dinitz, Jeffrey H. 1 Doche, Christophe 1 Dubois, Vivien 1 Dumas, Jean-Guillaume 1 Ebert, Gary Lee 1 Effinger, Gove W. 1 Enge, Andreas 1 Erickson, Jeremy P. 1 Etingof, Pavel Il’ich 1 Evans, Ronald J. 1 Fan, Haining 1 Fitzgerald, Robert W. 1 Fluhrer, Scott R. 1 Fried, Michael David 1 Fu, Lei 1 Gao, Shuhong 1 Garaev, Moubariz Z. 1 Garcia, Arnaldo ...and 108 more Co-Authors all top 5 Serials 6 Letters in Mathematical Physics 3 Advances in Mathematics of Communications 2 Communications in Mathematical Physics 2 Journal of Number Theory 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Finite Fields and their Applications 2 Journal of Algebra and its Applications 2 Lecture Notes in Computer Science 2 Advances in Information Security 1 Journal of Mathematical Physics 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 IEEE Transactions on Computers 1 Revista Colombiana de Matemáticas 1 Theoretical Computer Science 1 Japan Journal of Industrial and Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Journal of Physics A: Mathematical and General 1 Notices of the American Mathematical Society 1 Mathematical Research Letters 1 Transformation Groups 1 Representation Theory 1 Czechoslovak Journal of Physics 1 Journal of Nonlinear Mathematical Physics 1 Journal of Math-for-Industry 1 Discrete Mathematics and its Applications all top 5 Fields 85 Information and communication theory, circuits (94-XX) 42 Quantum theory (81-XX) 25 Nonassociative rings and algebras (17-XX) 18 Number theory (11-XX) 14 Computer science (68-XX) 5 Commutative algebra (13-XX) 4 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 4 Associative rings and algebras (16-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 865 times in 481 Documents Cited by ▼ Year ▼ Handbook of finite fields. Zbl 1319.11001 208 2013 Generalization of Drinfeld quantum affine algebras. Zbl 0889.17011 Ding, Jintai; Iohara, Kenji 101 1997 Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\). Zbl 0786.17008 Ding, Jintai; Frenkel, Igor B. 92 1993 Rainbow, a new multivariable polynomial signature scheme. Zbl 1126.68393 Ding, Jintai; Schmidt, Dieter 89 2005 Multivariate public key cryptosystems. Zbl 1105.94006 Ding, Jintai; Gower, Jason E.; Schmidt, Dieter S. 31 2006 Design principles for HFEv- based multivariate signature schemes. Zbl 1396.94094 Petzoldt, Albrecht; Chen, Ming-Shing; Yang, Bo-Yin; Tao, Chengdong; Ding, Jintai 30 2015 Simple matrix scheme for encryption. Zbl 1306.94094 Tao, Chengdong; Diene, Adama; Tang, Shaohua; Ding, Jintai 27 2013 New differential-algebraic attacks and reparametrization of rainbow. Zbl 1319.94060 Ding, Jintai; Yang, Bo-Yin; Chen, Chia-Hsin Owen; Chen, Ming-Shing; Cheng, Chen-Mou 24 2008 SSE implementation of multivariate PKCs on modern x86 CPUs. Zbl 1290.94055 Chen, Anna Inn-Tung; Chen, Ming-Shing; Chen, Tien-Ren; Cheng, Chen-Mou; Ding, Jintai; Kuo, Eric Li-Hsiang; Lee, Frost Yu-Shuang; Yang, Bo-Yin 23 2009 Inverting HFE systems is quasi-polynomial for all fields. Zbl 1287.94064 Ding, Jintai; Hodges, Timothy J. 21 2011 ZHFE, a new multivariate public key encryption scheme. Zbl 1385.94065 Porras, Jaiberth; Baena, John; Ding, Jintai 20 2014 A new variant of the Matsumoto-Imai cryptosystem through perturbation. Zbl 1198.94091 Ding, Jintai 20 2004 Quantum current operators. I: Zeros and poles of quantum current operators and the condition of quantum integrability. Zbl 0889.17007 Ding, Jintai; Miwa, Tetsuji 16 1997 Analysis of the SMS4 block cipher. Zbl 1213.94121 Liu, Fen; Ji, Wen; Hu, Lei; Ding, Jintai; Lv, Shuwang; Pyshkin, Andrei; Weinmann, Ralf-Philipp 15 2007 Weyl group extension of quantized current algebras. Zbl 1018.17010 Ding, J.; Khoroshkin, S. 14 1999 Authenticated key exchange from ideal lattices. Zbl 1375.94164 Zhang, Jiang; Zhang, Zhenfeng; Ding, Jintai; Snook, Michael; Dagdelen, Özgür 13 2015 The cubic simple matrix encryption scheme. Zbl 1306.94045 Ding, Jintai; Petzoldt, Albrecht; Wang, Lih-chung 13 2014 Extension field cancellation: a new central trapdoor for multivariate quadratic systems. Zbl 1405.94088 Szepieniec, Alan; Ding, Jintai; Preneel, Bart 13 2016 SimpleMatrix – a multivariate public key cryptosystem (MPKC) for encryption. Zbl 1328.94071 Tao, Chengdong; Xiang, Hong; Petzoldt, Albrecht; Ding, Jintai 12 2015 Square, a new multivariate encryption scheme. Zbl 1237.94055 Clough, Crystal; Baena, John; Ding, Jintai; Yang, Bo-Yin; Chen, Ming-shing 11 2009 Multivariate public Key cryptography. Zbl 1161.81319 Ding, Jintai; Yang, Bo-Yin 10 2009 Complete attack on RLWE key exchange with reused keys, without signal leakage. Zbl 1444.94063 Ding, Jintai; Fluhrer, Scott; Rv, Saraswathy 9 2018 Factorization of the universal \({\mathcal R}\)-matrix for \(U_q (\widehat{sl}_2)\). Zbl 1112.17300 Ding, J.; Pakulyak, S.; Khoroshkin, S. 9 2000 Solving degree and degree of regularity for polynomial systems over a finite field. Zbl 1291.94074 Ding, Jintai; Schmidt, Dieter 9 2013 Degree of regularity for HFEV and HFEV–. Zbl 1306.94046 Ding, Jintai; Yang, Bo-Yin 9 2013 Spinor and oscillator representations of quantum groups. Zbl 0847.17013 Ding, Jintai; Frenkel, Igor B. 8 1994 Drinfeld comultiplication and vertex operators. Zbl 0921.17003 Ding, Jintai; Iohara, Kenji 8 1997 Provably secure password authenticated key exchange based on RLWE for the post-quantum world. Zbl 1383.94052 Ding, Jintai; Alsayigh, Saed; Lancrenon, Jean; RV, Saraswathy; Snook, Michael 8 2017 Cryptanalysis of HFEv and internal perturbation of HFE. Zbl 1081.94520 Ding, Jintai; Schmidt, Dieter 8 2005 Could SFLASH be repaired? Zbl 1155.94365 Ding, Jintai; Dubois, Vivien; Yang, Bo-Yin; Chen, Owen Chia-Hsin; Cheng, Chen-Mou 8 2008 Quantum current operators. II: Difference equations of quantum current operators and quantum parafermion construction. Zbl 0889.17008 Ding, Jintai; Feigin, Boris 7 1997 Inoculating multivariate schemes against differential attacks. Zbl 1151.94505 Ding, Jintai; Gower, Jason E. 7 2006 \(\ell \)-invertible cycles for Multivariate Quadratic (MQ) public key cryptography. Zbl 1161.94006 Ding, Jintai; Wolf, Christopher; Yang, Bo-Yin 7 2007 Post-quantum cryptography. Second international workshop, PQCrypto 2008, Cincinnati, OH, USA, October 17–19, 2008. Proceedings. Zbl 1147.94002 7 2008 MXL2: Solving polynomial equations over \(\text{GF}(2)\) using an improved mutant strategy. Zbl 1177.11094 Mohamed, Mohamed Saied Emam; Mohamed, Wael Said Abd Elmageed; Ding, Jintai; Buchmann, Johannes 7 2008 Efficient key recovery for all HFE signature variants. Zbl 1485.94148 Tao, Chengdong; Petzoldt, Albrecht; Ding, Jintai 7 2021 Spinor representations of \(U_q(\widehat{\mathfrak gl}(n))\) and quantum boson-fermion correspondence. Zbl 0943.17008 Ding, Jintai 6 1999 Improved cryptanalysis of HFEv- via projection. Zbl 1406.94044 Ding, Jintai; Perlner, Ray; Petzoldt, Albrecht; Smith-Tone, Daniel 6 2018 High order linearization equation (hole) attack on multivariate public key cryptosystems. Zbl 1161.94395 Ding, Jintai; Hu, Lei; Nie, Xuyun; Li, Jianyu; Wagner, John 6 2007 Integral presentations for the universal \(R\)-matrix. Zbl 1066.17501 Ding, J.; Khoroshkin, S.; Pakuliak, S. 6 2000 Algebraic attack on HFE revisited. Zbl 1181.94092 Ding, Jintai; Schmidt, Dieter; Werner, Fabian 6 2008 Kipnis-Shamir attack on HFE revisited. Zbl 1166.94318 Jiang, Xin; Ding, Jintai; Hu, Lei 6 2008 HMFEv – an efficient multivariate signature scheme. Zbl 1408.94958 Petzoldt, Albrecht; Chen, Ming-Shing; Ding, Jintai; Yang, Bo-Yin 5 2017 The center of a quantum affine algebra at the critical level. Zbl 0833.17008 Ding, Jintai; Etingof, Pavel 5 1994 Quantized \(W\)-algebra of \(sl(2,1)\): A construction from the quantization of screening operators. Zbl 0952.17011 Ding, Jintai; Feigin, Boris 5 1999 MXL\(_3\): an efficient algorithm for computing Gröbner bases of zero-dimensional ideals. Zbl 1305.94066 Mohamed, Mohamed Saied Emam; Cabarcas, Daniel; Ding, Jintai; Buchmann, Johannes; Bulygin, Stanislav 5 2010 Commutative quantum current operators, semi-infinite construction and functional models. Zbl 1033.17016 Ding, Jintai; Feigin, Boris 5 2000 Multivariates polynomials for hashing. Zbl 1166.94309 Ding, Jintai; Yang, Bo-Yin 5 2008 Homomorphic encryption standard. Zbl 1502.94026 Albrecht, Martin; Chase, Melissa; Chen, Hao; Ding, Jintai; Goldwasser, Shafi; Gorbunov, Sergey; Halevi, Shai; Hoffstein, Jeffrey; Laine, Kim; Lauter, Kristin; Lokam, Satya; Micciancio, Daniele; Moody, Dustin; Morrison, Travis; Sahai, Amit; Vaikuntanathan, Vinod 5 2021 Quantized W-algebra of \(\mathfrak s\mathfrak l(2,1)\) and quantum parafermions of \(U_q(\widehat{\mathfrak s\mathfrak l}(2))\). Zbl 0962.17007 Ding, Jintai; Feigin, Boris 4 2000 Secure variants of the Square encryption scheme. Zbl 1286.94063 Clough, Crystal Lee; Ding, Jintai 4 2010 Algebraic cryptanalysis of SMS4: Gröbner basis attack and SAT attack compared. Zbl 1305.94045 Erickson, Jeremy; Ding, Jintai; Christensen, Chris 4 2010 Multivariate public key cryptosystems. 2nd edition. Zbl 1506.94001 Ding, Jintai; Petzoldt, Albrecht; Schmidt, Dieter S. 4 2020 Practical randomized RLWE-based key exchange against signal leakage attack. Zbl 1454.94070 Gao, Xinwei; Ding, Jintai; Li, Lin; Liu, Jiqiang 3 2018 Linear algebra to compute Syzygies and Gröbner bases. Zbl 1323.68588 Cabarcas, Daniel; Ding, Jintai 3 2011 A proof of a conjecture of C. L. Siegel. Zbl 0797.11058 Ding, Jintai 3 1994 Growth of the ideal generated by a quadratic multivariate function over \(\text{GF}(3)\). Zbl 1278.11104 Ding, Jintai; Hodges, Timothy J.; Kruglov, Victoria; Schmidt, Dieter; Tohǎneanu, Stefan 3 2013 Post-quantum cryptography. 10th international conference, PQCrypto 2019, Chongqing, China, May 8–10, 2019. Revised selected papers. Zbl 1418.94003 3 2019 Flexible partial enlargement to accelerate Gröbner basis computation over \(\mathbb{F}_2\). Zbl 1284.94058 Buchmann, Johannes; Cabarcas, Daniel; Ding, Jintai; Mohamed, Mohamed Saied Emam 3 2010 Algebraic attack on the MQQ public key cryptosystem. Zbl 1287.94087 Mohamed, Mohamed Saied Emam; Ding, Jintai; Buchmann, Johannes; Werner, Fabian 3 2009 Overview of cryptanalysis techniques in multivariate public key cryptography. Zbl 1177.94130 Billet, Olivier; Ding, Jintai 3 2009 Square-Vinegar signature scheme. Zbl 1177.94180 Baena, John; Clough, Crystal; Ding, Jintai 3 2008 Kipnis-Shamir attack on unbalanced oil-vinegar scheme. Zbl 1326.94079 Cao, Weiwei; Hu, Lei; Ding, Jintai; Yin, Zhijun 3 2011 One sample ring-LWE with rounding and its application to key exchange. Zbl 1452.94065 Ding, Jintai; Gao, Xinwei; Takagi, Tsuyoshi; Wang, Yuntao 2 2019 Partial Gauss decomposition, \(U_q(\widehat {{\mathfrak gl}(n-1)})\in U_q(\widehat{{\mathfrak gl}(n)})\) and Zamolodchikov algebra. Zbl 0957.17017 Ding, Jintai 2 1999 A framework for universally composable oblivious transfer from one-round key-exchange. Zbl 1454.94054 Branco, Pedro; Ding, Jintai; Goulão, Manuel; Mateus, Paulo 2 2019 A systematic approach and analysis of key mismatch attacks on lattice-based NIST candidate KEMs. Zbl 1514.94126 Qin, Yue; Cheng, Chi; Zhang, Xiaohan; Pan, Yanbin; Hu, Lei; Ding, Jintai 2 2021 On a combinatorial identity. Zbl 0951.05005 Ding, Jintai; Jing, Naihuan 2 2000 On the FRTS approach to quantized current algebras. Zbl 0973.17026 Ding, Jintai; Khoroshkin, Sergei 2 1998 Degree of regularity for HFE Minus (HFE\(-\)). Zbl 1302.94042 Ding, Jintai; Kleinjung, Thorsten 2 2012 Inverting square systems algebraically is exponential. Zbl 1288.94058 Ding, Jintai; Clough, Crystal; Araujo, Roberto 2 2014 High-speed hardware implementation of Rainbow signature on FPGAs. Zbl 1298.94107 Tang, Shaohua; Yi, Haibo; Ding, Jintai; Chen, Huan; Chen, Guomin 2 2011 The singularity attack to the multivariate signature scheme HIMQ-3. Zbl 1464.94057 Ding, Jintai; Zhang, Zheng; Deaton, Joshua 2 2021 Complexity estimates for the \(\mathbb F_4\) attack on the perturbed Matsumoto-Imai cryptosystem. Zbl 1122.94034 Ding, J.; Gower, J. E.; Schmidt, D.; Wolf, C.; Yin, Z. 2 2005 Cryptanalysis of the lifted unbalanced oil vinegar signature scheme. Zbl 1504.94210 Ding, Jintai; Deaton, Joshua; Schmidt, Kurt; Vishakha; Zhang, Zheng 2 2020 Spinor representations of \(U_ q(\widehat{\mathfrak o}(N))\). Zbl 0872.17009 Ding, Jintai 1 1997 The new implementation schemes of the TTM cryptosystem are not secure. Zbl 1060.94017 Ding, Jintai; Schmidt, Dieter 1 2004 Universal \(\mathcal R\)-matrix for quantum affine algebras \(U_q(A_2^{(2)})\) and \(U_q(\widehat{\text{osp}}(1|2))\) with Drinfeld comultiplication. Zbl 1070.17005 Ding, Jintai; Khoroshkin, Sergey M. 1 2004 Cryptanalysis of an implementation scheme of the tamed transformation method cryptosystem. Zbl 1071.94011 Ding, Jintai; Hodges, Timothy 1 2004 Post-quantum secure remote password protocol from RLWE problem. Zbl 1426.94102 Gao, Xinwei; Ding, Jintai; Liu, Jiqiang; Li, Lin 1 2018 Dimension of the linearization equations of the Matsumoto-Imai cryptosystems. Zbl 1151.94504 Diene, Adama; Ding, Jintai; Gower, Jason E.; Hodges, Timothy J.; Yin, Zhijun 1 2006 Growth of the ideal generated by a quadratic Boolean function. Zbl 1284.94069 Ding, Jintai; Hodges, Timothy J.; Kruglov, Victoria 1 2010 Cryptanalysis of the new TTS scheme in CHES 2004. Zbl 1312.94043 Ding, Jintai; Schmidt, Dieter; Yin, Zhijun 1 2006 An algebraic broadcast attack against NTRU. Zbl 1305.94041 Ding, Jintai; Pan, Yanbin; Deng, Yingpu 1 2012 Fast discretized Gaussian sampling and post-quantum TLS ciphersuite. Zbl 1506.94042 Gao, Xinwei; Li, Lin; Ding, Jintai; Liu, Jiqiang; Saraswathy, R. V.; Liu, Zhe 1 2017 A complete cryptanalysis of the post-quantum multivariate signature scheme Himq-3. Zbl 1515.94100 Ding, Jintai; Zhang, Zheng; Deaton, Joshua; Wang, Lih-Chung 1 2020 Efficient key recovery for all HFE signature variants. Zbl 1485.94148 Tao, Chengdong; Petzoldt, Albrecht; Ding, Jintai 7 2021 Homomorphic encryption standard. Zbl 1502.94026 Albrecht, Martin; Chase, Melissa; Chen, Hao; Ding, Jintai; Goldwasser, Shafi; Gorbunov, Sergey; Halevi, Shai; Hoffstein, Jeffrey; Laine, Kim; Lauter, Kristin; Lokam, Satya; Micciancio, Daniele; Moody, Dustin; Morrison, Travis; Sahai, Amit; Vaikuntanathan, Vinod 5 2021 A systematic approach and analysis of key mismatch attacks on lattice-based NIST candidate KEMs. Zbl 1514.94126 Qin, Yue; Cheng, Chi; Zhang, Xiaohan; Pan, Yanbin; Hu, Lei; Ding, Jintai 2 2021 The singularity attack to the multivariate signature scheme HIMQ-3. Zbl 1464.94057 Ding, Jintai; Zhang, Zheng; Deaton, Joshua 2 2021 Multivariate public key cryptosystems. 2nd edition. Zbl 1506.94001 Ding, Jintai; Petzoldt, Albrecht; Schmidt, Dieter S. 4 2020 Cryptanalysis of the lifted unbalanced oil vinegar signature scheme. Zbl 1504.94210 Ding, Jintai; Deaton, Joshua; Schmidt, Kurt; Vishakha; Zhang, Zheng 2 2020 A complete cryptanalysis of the post-quantum multivariate signature scheme Himq-3. Zbl 1515.94100 Ding, Jintai; Zhang, Zheng; Deaton, Joshua; Wang, Lih-Chung 1 2020 Post-quantum cryptography. 10th international conference, PQCrypto 2019, Chongqing, China, May 8–10, 2019. Revised selected papers. Zbl 1418.94003 3 2019 One sample ring-LWE with rounding and its application to key exchange. Zbl 1452.94065 Ding, Jintai; Gao, Xinwei; Takagi, Tsuyoshi; Wang, Yuntao 2 2019 A framework for universally composable oblivious transfer from one-round key-exchange. Zbl 1454.94054 Branco, Pedro; Ding, Jintai; Goulão, Manuel; Mateus, Paulo 2 2019 Complete attack on RLWE key exchange with reused keys, without signal leakage. Zbl 1444.94063 Ding, Jintai; Fluhrer, Scott; Rv, Saraswathy 9 2018 Improved cryptanalysis of HFEv- via projection. Zbl 1406.94044 Ding, Jintai; Perlner, Ray; Petzoldt, Albrecht; Smith-Tone, Daniel 6 2018 Practical randomized RLWE-based key exchange against signal leakage attack. Zbl 1454.94070 Gao, Xinwei; Ding, Jintai; Li, Lin; Liu, Jiqiang 3 2018 Post-quantum secure remote password protocol from RLWE problem. Zbl 1426.94102 Gao, Xinwei; Ding, Jintai; Liu, Jiqiang; Li, Lin 1 2018 Provably secure password authenticated key exchange based on RLWE for the post-quantum world. Zbl 1383.94052 Ding, Jintai; Alsayigh, Saed; Lancrenon, Jean; RV, Saraswathy; Snook, Michael 8 2017 HMFEv – an efficient multivariate signature scheme. Zbl 1408.94958 Petzoldt, Albrecht; Chen, Ming-Shing; Ding, Jintai; Yang, Bo-Yin 5 2017 Fast discretized Gaussian sampling and post-quantum TLS ciphersuite. Zbl 1506.94042 Gao, Xinwei; Li, Lin; Ding, Jintai; Liu, Jiqiang; Saraswathy, R. V.; Liu, Zhe 1 2017 Extension field cancellation: a new central trapdoor for multivariate quadratic systems. Zbl 1405.94088 Szepieniec, Alan; Ding, Jintai; Preneel, Bart 13 2016 Design principles for HFEv- based multivariate signature schemes. Zbl 1396.94094 Petzoldt, Albrecht; Chen, Ming-Shing; Yang, Bo-Yin; Tao, Chengdong; Ding, Jintai 30 2015 Authenticated key exchange from ideal lattices. Zbl 1375.94164 Zhang, Jiang; Zhang, Zhenfeng; Ding, Jintai; Snook, Michael; Dagdelen, Özgür 13 2015 SimpleMatrix – a multivariate public key cryptosystem (MPKC) for encryption. Zbl 1328.94071 Tao, Chengdong; Xiang, Hong; Petzoldt, Albrecht; Ding, Jintai 12 2015 ZHFE, a new multivariate public key encryption scheme. Zbl 1385.94065 Porras, Jaiberth; Baena, John; Ding, Jintai 20 2014 The cubic simple matrix encryption scheme. Zbl 1306.94045 Ding, Jintai; Petzoldt, Albrecht; Wang, Lih-chung 13 2014 Inverting square systems algebraically is exponential. Zbl 1288.94058 Ding, Jintai; Clough, Crystal; Araujo, Roberto 2 2014 Handbook of finite fields. Zbl 1319.11001 208 2013 Simple matrix scheme for encryption. Zbl 1306.94094 Tao, Chengdong; Diene, Adama; Tang, Shaohua; Ding, Jintai 27 2013 Solving degree and degree of regularity for polynomial systems over a finite field. Zbl 1291.94074 Ding, Jintai; Schmidt, Dieter 9 2013 Degree of regularity for HFEV and HFEV–. Zbl 1306.94046 Ding, Jintai; Yang, Bo-Yin 9 2013 Growth of the ideal generated by a quadratic multivariate function over \(\text{GF}(3)\). Zbl 1278.11104 Ding, Jintai; Hodges, Timothy J.; Kruglov, Victoria; Schmidt, Dieter; Tohǎneanu, Stefan 3 2013 Degree of regularity for HFE Minus (HFE\(-\)). Zbl 1302.94042 Ding, Jintai; Kleinjung, Thorsten 2 2012 An algebraic broadcast attack against NTRU. Zbl 1305.94041 Ding, Jintai; Pan, Yanbin; Deng, Yingpu 1 2012 Inverting HFE systems is quasi-polynomial for all fields. Zbl 1287.94064 Ding, Jintai; Hodges, Timothy J. 21 2011 Linear algebra to compute Syzygies and Gröbner bases. Zbl 1323.68588 Cabarcas, Daniel; Ding, Jintai 3 2011 Kipnis-Shamir attack on unbalanced oil-vinegar scheme. Zbl 1326.94079 Cao, Weiwei; Hu, Lei; Ding, Jintai; Yin, Zhijun 3 2011 High-speed hardware implementation of Rainbow signature on FPGAs. Zbl 1298.94107 Tang, Shaohua; Yi, Haibo; Ding, Jintai; Chen, Huan; Chen, Guomin 2 2011 MXL\(_3\): an efficient algorithm for computing Gröbner bases of zero-dimensional ideals. Zbl 1305.94066 Mohamed, Mohamed Saied Emam; Cabarcas, Daniel; Ding, Jintai; Buchmann, Johannes; Bulygin, Stanislav 5 2010 Secure variants of the Square encryption scheme. Zbl 1286.94063 Clough, Crystal Lee; Ding, Jintai 4 2010 Algebraic cryptanalysis of SMS4: Gröbner basis attack and SAT attack compared. Zbl 1305.94045 Erickson, Jeremy; Ding, Jintai; Christensen, Chris 4 2010 Flexible partial enlargement to accelerate Gröbner basis computation over \(\mathbb{F}_2\). Zbl 1284.94058 Buchmann, Johannes; Cabarcas, Daniel; Ding, Jintai; Mohamed, Mohamed Saied Emam 3 2010 Growth of the ideal generated by a quadratic Boolean function. Zbl 1284.94069 Ding, Jintai; Hodges, Timothy J.; Kruglov, Victoria 1 2010 SSE implementation of multivariate PKCs on modern x86 CPUs. Zbl 1290.94055 Chen, Anna Inn-Tung; Chen, Ming-Shing; Chen, Tien-Ren; Cheng, Chen-Mou; Ding, Jintai; Kuo, Eric Li-Hsiang; Lee, Frost Yu-Shuang; Yang, Bo-Yin 23 2009 Square, a new multivariate encryption scheme. Zbl 1237.94055 Clough, Crystal; Baena, John; Ding, Jintai; Yang, Bo-Yin; Chen, Ming-shing 11 2009 Multivariate public Key cryptography. Zbl 1161.81319 Ding, Jintai; Yang, Bo-Yin 10 2009 Algebraic attack on the MQQ public key cryptosystem. Zbl 1287.94087 Mohamed, Mohamed Saied Emam; Ding, Jintai; Buchmann, Johannes; Werner, Fabian 3 2009 Overview of cryptanalysis techniques in multivariate public key cryptography. Zbl 1177.94130 Billet, Olivier; Ding, Jintai 3 2009 New differential-algebraic attacks and reparametrization of rainbow. Zbl 1319.94060 Ding, Jintai; Yang, Bo-Yin; Chen, Chia-Hsin Owen; Chen, Ming-Shing; Cheng, Chen-Mou 24 2008 Could SFLASH be repaired? Zbl 1155.94365 Ding, Jintai; Dubois, Vivien; Yang, Bo-Yin; Chen, Owen Chia-Hsin; Cheng, Chen-Mou 8 2008 Post-quantum cryptography. Second international workshop, PQCrypto 2008, Cincinnati, OH, USA, October 17–19, 2008. Proceedings. Zbl 1147.94002 7 2008 MXL2: Solving polynomial equations over \(\text{GF}(2)\) using an improved mutant strategy. Zbl 1177.11094 Mohamed, Mohamed Saied Emam; Mohamed, Wael Said Abd Elmageed; Ding, Jintai; Buchmann, Johannes 7 2008 Algebraic attack on HFE revisited. Zbl 1181.94092 Ding, Jintai; Schmidt, Dieter; Werner, Fabian 6 2008 Kipnis-Shamir attack on HFE revisited. Zbl 1166.94318 Jiang, Xin; Ding, Jintai; Hu, Lei 6 2008 Multivariates polynomials for hashing. Zbl 1166.94309 Ding, Jintai; Yang, Bo-Yin 5 2008 Square-Vinegar signature scheme. Zbl 1177.94180 Baena, John; Clough, Crystal; Ding, Jintai 3 2008 Analysis of the SMS4 block cipher. Zbl 1213.94121 Liu, Fen; Ji, Wen; Hu, Lei; Ding, Jintai; Lv, Shuwang; Pyshkin, Andrei; Weinmann, Ralf-Philipp 15 2007 \(\ell \)-invertible cycles for Multivariate Quadratic (MQ) public key cryptography. Zbl 1161.94006 Ding, Jintai; Wolf, Christopher; Yang, Bo-Yin 7 2007 High order linearization equation (hole) attack on multivariate public key cryptosystems. Zbl 1161.94395 Ding, Jintai; Hu, Lei; Nie, Xuyun; Li, Jianyu; Wagner, John 6 2007 Multivariate public key cryptosystems. Zbl 1105.94006 Ding, Jintai; Gower, Jason E.; Schmidt, Dieter S. 31 2006 Inoculating multivariate schemes against differential attacks. Zbl 1151.94505 Ding, Jintai; Gower, Jason E. 7 2006 Dimension of the linearization equations of the Matsumoto-Imai cryptosystems. Zbl 1151.94504 Diene, Adama; Ding, Jintai; Gower, Jason E.; Hodges, Timothy J.; Yin, Zhijun 1 2006 Cryptanalysis of the new TTS scheme in CHES 2004. Zbl 1312.94043 Ding, Jintai; Schmidt, Dieter; Yin, Zhijun 1 2006 Rainbow, a new multivariable polynomial signature scheme. Zbl 1126.68393 Ding, Jintai; Schmidt, Dieter 89 2005 Cryptanalysis of HFEv and internal perturbation of HFE. Zbl 1081.94520 Ding, Jintai; Schmidt, Dieter 8 2005 Complexity estimates for the \(\mathbb F_4\) attack on the perturbed Matsumoto-Imai cryptosystem. Zbl 1122.94034 Ding, J.; Gower, J. E.; Schmidt, D.; Wolf, C.; Yin, Z. 2 2005 A new variant of the Matsumoto-Imai cryptosystem through perturbation. Zbl 1198.94091 Ding, Jintai 20 2004 The new implementation schemes of the TTM cryptosystem are not secure. Zbl 1060.94017 Ding, Jintai; Schmidt, Dieter 1 2004 Universal \(\mathcal R\)-matrix for quantum affine algebras \(U_q(A_2^{(2)})\) and \(U_q(\widehat{\text{osp}}(1|2))\) with Drinfeld comultiplication. Zbl 1070.17005 Ding, Jintai; Khoroshkin, Sergey M. 1 2004 Cryptanalysis of an implementation scheme of the tamed transformation method cryptosystem. Zbl 1071.94011 Ding, Jintai; Hodges, Timothy 1 2004 Factorization of the universal \({\mathcal R}\)-matrix for \(U_q (\widehat{sl}_2)\). Zbl 1112.17300 Ding, J.; Pakulyak, S.; Khoroshkin, S. 9 2000 Integral presentations for the universal \(R\)-matrix. Zbl 1066.17501 Ding, J.; Khoroshkin, S.; Pakuliak, S. 6 2000 Commutative quantum current operators, semi-infinite construction and functional models. Zbl 1033.17016 Ding, Jintai; Feigin, Boris 5 2000 Quantized W-algebra of \(\mathfrak s\mathfrak l(2,1)\) and quantum parafermions of \(U_q(\widehat{\mathfrak s\mathfrak l}(2))\). Zbl 0962.17007 Ding, Jintai; Feigin, Boris 4 2000 On a combinatorial identity. Zbl 0951.05005 Ding, Jintai; Jing, Naihuan 2 2000 Weyl group extension of quantized current algebras. Zbl 1018.17010 Ding, J.; Khoroshkin, S. 14 1999 Spinor representations of \(U_q(\widehat{\mathfrak gl}(n))\) and quantum boson-fermion correspondence. Zbl 0943.17008 Ding, Jintai 6 1999 Quantized \(W\)-algebra of \(sl(2,1)\): A construction from the quantization of screening operators. Zbl 0952.17011 Ding, Jintai; Feigin, Boris 5 1999 Partial Gauss decomposition, \(U_q(\widehat {{\mathfrak gl}(n-1)})\in U_q(\widehat{{\mathfrak gl}(n)})\) and Zamolodchikov algebra. Zbl 0957.17017 Ding, Jintai 2 1999 On the FRTS approach to quantized current algebras. Zbl 0973.17026 Ding, Jintai; Khoroshkin, Sergei 2 1998 Generalization of Drinfeld quantum affine algebras. Zbl 0889.17011 Ding, Jintai; Iohara, Kenji 101 1997 Quantum current operators. I: Zeros and poles of quantum current operators and the condition of quantum integrability. Zbl 0889.17007 Ding, Jintai; Miwa, Tetsuji 16 1997 Drinfeld comultiplication and vertex operators. Zbl 0921.17003 Ding, Jintai; Iohara, Kenji 8 1997 Quantum current operators. II: Difference equations of quantum current operators and quantum parafermion construction. Zbl 0889.17008 Ding, Jintai; Feigin, Boris 7 1997 Spinor representations of \(U_ q(\widehat{\mathfrak o}(N))\). Zbl 0872.17009 Ding, Jintai 1 1997 Spinor and oscillator representations of quantum groups. Zbl 0847.17013 Ding, Jintai; Frenkel, Igor B. 8 1994 The center of a quantum affine algebra at the critical level. Zbl 0833.17008 Ding, Jintai; Etingof, Pavel 5 1994 A proof of a conjecture of C. L. Siegel. Zbl 0797.11058 Ding, Jintai 3 1994 Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\). Zbl 0786.17008 Ding, Jintai; Frenkel, Igor B. 92 1993 all cited Publications top 5 cited Publications all top 5 Cited by 717 Authors 27 Ding, Jintai 19 Jing, Naihuan 16 Takagi, Tsuyoshi 15 Smith-Tone, Daniel 14 Morozov, Alexei Yurievich 13 Pakuliak, Stanislav Z. 13 Zenkevich, Yegor 12 Mironov, Andrei D. 12 Petzoldt, Albrecht 12 Tsymbaliuk, Oleksandr 11 Bourgine, Jean-Emile 10 Kožić, Slaven 9 Awata, Hidetoshi 9 Kanno, Hiroaki 9 Khoroshkin, Sergey M. 9 Verbel, Javier A. 8 Feĭgin, Boris L’vovich 8 Ikematsu, Yasuhiko 8 Molev, Alexander I. 8 Negut, Andrei 8 Ohkubo, Yusuke 8 Yasuda, Takanori 7 Sakurai, Kouichi 6 Bernstein, Daniel Julius 6 Hashimoto, Yasufumi 6 Liu, Ming 6 Wang, Yacheng 5 Baena, John Bayron 5 Gorla, Elisa 5 Hodges, Timothy J. 5 Mohamed, Mohamed Saied Emam 5 Perlner, Ray 5 Shiraishi, Jun’ichi 5 Zhang, Honglian 5 Zhu, Rui-Dong 4 Bardet, Magali 4 Baseilhac, Pascal 4 Beullens, Ward 4 Buchmann, Johannes A. 4 Cabarcas, Daniel 4 Caminata, Alessio 4 Chen, Ming-shing 4 Debnath, Sumit Kumar 4 Enriquez, Benjamin 4 Faugère, Jean-Charles 4 Fukuda, Masayuki 4 Hou, Boyu 4 Huang, Ming-Deh A. 4 Miwa, Tetsuji 4 Mukhin, Evgeny 4 Nakamura, Shuhei 4 Noshita, Go 4 Perret, Ludovic 4 Petit, Christophe 4 Ragoucy, Eric 4 Tan, Shaobin 4 Yang, Bo-Yin 3 Briaud, Pierre 3 Bros, Maxime 3 Cartor, Ryann 3 Chatterjee, Sanjit 3 Cheng, Chen-Mou 3 Clough, Crystal Lee 3 De Saint Guilhem, Cyprien Delpech 3 Deaton, Joshua 3 Ding, Xiangmao 3 Duong, Dung Hoang 3 Foda, Omar 3 Furue, Hiroki 3 Gaborit, Philippe 3 Galakhov, Dmitry 3 Hu, Lei 3 Hu, Naihong 3 Iohara, Kenji 3 Jimbo, Michio 3 Kiyomura, Yutaro 3 Kojima, Takeo 3 Kong, Fei 3 Koroteev, Peter 3 Kosters, Michiel 3 Lange, Tanja 3 Matsuo, Yutaka 3 Miki, Kei 3 Mishnyakov, Victor 3 Morozov, Andreĭ Alekseevich 3 Nieri, Fabrizio 3 Pandit, Tapas 3 Peters, Christiane 3 Popolitov, Aleksandr 3 Preneel, Bart 3 Schlather, Jacob 3 Schwabe, Peter 3 Soukharev, Vladimir 3 Stebila, Douglas 3 Tang, Shaohua 3 Tao, Chengdong 3 Tarasov, Vitaly Olegovich 3 Tillich, Jean-Pierre 3 Ustimenko, Vasiliy A. 3 Wang, Rui ...and 617 more Authors all top 5 Cited in 104 Serials 40 Journal of High Energy Physics 20 Communications in Mathematical Physics 18 Journal of Mathematical Physics 13 Letters in Mathematical Physics 13 Journal of Algebra 12 Nuclear Physics. 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Informatica 2 Cryptography and Communications 1 International Journal of Modern Physics A 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Automatica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Computer and System Sciences 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. 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English Series 1 Journal of Systems Science and Complexity 1 Journal of Intelligent and Fuzzy Systems 1 Algebra and Discrete Mathematics 1 Mediterranean Journal of Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Mathematical Biosciences and Engineering 1 Journal of Shanghai Jiaotong University (Science) 1 Chebyshevskiĭ Sbornik 1 Frontiers of Mathematics in China 1 Journal of Satisfiability, Boolean Modeling and Computation 1 Algebra & Number Theory 1 Discrete and Continuous Dynamical Systems. Series S 1 ACM Communications in Computer Algebra 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Advances in Mathematical Physics 1 Science China. Information Sciences 1 Communications in Mathematics and Statistics 1 Pacific Journal of Mathematics for Industry 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques ...and 4 more Serials all top 5 Cited in 42 Fields 234 Quantum theory (81-XX) 222 Information and communication theory, circuits (94-XX) 167 Nonassociative rings and algebras (17-XX) 62 Computer science (68-XX) 45 Associative rings and algebras (16-XX) 38 Algebraic geometry (14-XX) 31 Number theory (11-XX) 28 Commutative algebra (13-XX) 20 Combinatorics (05-XX) 16 Special functions (33-XX) 14 Statistical mechanics, structure of matter (82-XX) 14 Relativity and gravitational theory (83-XX) 12 Group theory and generalizations (20-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Category theory; homological algebra (18-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 \(K\)-theory (19-XX) 4 Field theory and polynomials (12-XX) 4 Manifolds and cell complexes (57-XX) 4 Numerical analysis (65-XX) 4 Mechanics of particles and systems (70-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Citations by Year