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Algorithms for computing greatest common divisors of parametric multivariate polynomials 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 102, 页码: 3-20
Authors:  Kapur, Deepak;  Lu, Dong;  Monagan, Michael;  Sun, Yao;  Wang, Dingkang
Favorite  |  View/Download:9/0  |  Submit date:2020/09/23
Parametric multivariate polynomials  Gcd system  Minimal comprehensive Grobner system  Ideal intersection  Ideal quotient  
Hilbert Problem 15 and Ritt-Wu Method (II) 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 15
Authors:  Li, Banghe;  Wang, Dingkang
Favorite  |  View/Download:7/0  |  Submit date:2020/09/23
Cubic curves with cusp  Hilbert problem 15  Ritt-Wu method  
Factorizations for a class of multivariate polynomial matrices 期刊论文
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2020, 卷号: 31, 期号: 3, 页码: 989-1004
Authors:  Lu, Dong;  Wang, Dingkang;  Xiao, Fanghui
Favorite  |  View/Download:7/0  |  Submit date:2020/06/30
Multivariate polynomial matrices  Matrix factorization  Reduced minors  Reduced Grobner basis  
On the Construction of Involutory MDS Matrices overF2m 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 卷号: 33, 期号: 3, 页码: 836-848
Authors:  Bai, Jian;  Sun, Yao;  Wang, Dingkang
Favorite  |  View/Download:5/0  |  Submit date:2020/09/23
Diffusion layer  involutory MDS matrix  lightweight  
A Survey on Algorithms for Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 234-255
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:16/0  |  Submit date:2019/04/02
Comprehensive Grobner basis  comprehensive Grobner system  discovering geometric theorems mechanically  parametric polynomial system  quantifier elimination  
Speeding Up the GVW Algorithm via a Substituting Method 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 205-233
Authors:  Li Ting;  Sun Yao;  Huang Zhenyu;  Wang Dingkang;  Lin Dongdai
Favorite  |  View/Download:13/0  |  Submit date:2019/04/02
Grobner basis  GVW  signature-based algorithm  time-memory tradeoff  
speedingupthegvwalgorithmviaasubstitutingmethod 期刊论文
系统科学与复杂性学报英文版, 2019, 卷号: 032, 期号: 001, 页码: 205
Authors:  LI Ting;  SUN Yao;  HUANG Zhenyu;  WANG Dingkang;  LIN Dongdai
Favorite  |  View/Download:11/0  |  Submit date:2020/01/10
asurveyonalgorithmsforcomputingcomprehensivegrobnersystemsandcomprehensivegrobnerbases 期刊论文
journalofsystemsscienceandcomplexity, 2019, 卷号: 32, 期号: 1, 页码: 234
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:11/0  |  Submit date:2020/01/10
A New Algorithm for Computing the Extended Hensel Construction of Multivariate Polynomials 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2018, 卷号: 31, 期号: 6, 页码: 1633-1646
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:12/0  |  Submit date:2019/03/05
Extended Hensel construction  multivariate polynomial  resultant  sylvester matrix  
The lightest 4 x 4 MDS matrices over GL(4, F-2) 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2018, 卷号: 61, 期号: 11, 页码: 3
Authors:  Bai, Jian;  Li, Ting;  Sun, Yao;  Wang, Dingkang;  Lin, Dongdai
Favorite  |  View/Download:14/0  |  Submit date:2018/11/16