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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:11/0  |  Submit date:2020/09/23
Parametric multivariate polynomials  Gcd system  Minimal comprehensive Grobner system  Ideal intersection  Ideal quotient  
An Improvement of the Rational Representation for High-Dimensional Systems 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 18
Authors:  Xiao, Fanghui;  Lu, Dong;  Ma, Xiaodong;  Wang, Dingkang
Favorite  |  View/Download:0/0  |  Submit date:2021/01/14
Comprehensive Grobner systems  high-dimensional polynomial system  rational representation  rational univariate representation  
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:9/0  |  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
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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:7/0  |  Submit date:2020/09/23
Diffusion layer  involutory MDS matrix  lightweight  
On the Construction of Involutory MDS Matrices over F2^m 期刊论文
系统科学与复杂性学报:英文版, 2020, 卷号: 33.0, 期号: 003, 页码: 836-848
Authors:  BAI Jian;  SUN Yao;  WANG Dingkang
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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
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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:16/0  |  Submit date:2019/04/02
Grobner basis  GVW  signature-based algorithm  time-memory tradeoff  
asurveyonalgorithmsforcomputingcomprehensivegrobnersystemsandcomprehensivegrobnerbases 期刊论文
journalofsystemsscienceandcomplexity, 2019, 卷号: 32, 期号: 1, 页码: 234
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
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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:17/0  |  Submit date:2020/01/10