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Solving Multivariate Polynomial Matrix Diophantine Equations with Grobner Basis Method 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 14
作者:  Xiao Fanghui;  Lu Dong;  Wang Dingkang
收藏  |  浏览/下载:117/0  |  提交时间:2021/04/26
Grö  bner basis  matrix Diophantine equation  module  multivariate polynomial  
An Improvement of the Rational Representation for High-Dimensional Systems 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 18
作者:  Xiao, Fanghui;  Lu, Dong;  Ma, Xiaodong;  Wang, Dingkang
收藏  |  浏览/下载:143/0  |  提交时间: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
作者:  Li, Banghe;  Wang, Dingkang
收藏  |  浏览/下载:129/0  |  提交时间:2020/09/23
Cubic curves with cusp  Hilbert problem 15  Ritt-Wu method  
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
作者:  Bai, Jian;  Sun, Yao;  Wang, Dingkang
收藏  |  浏览/下载:160/0  |  提交时间: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
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载:160/0  |  提交时间: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
作者:  Li Ting;  Sun Yao;  Huang Zhenyu;  Wang Dingkang;  Lin Dongdai
收藏  |  浏览/下载:161/0  |  提交时间:2019/04/02
Grobner basis  GVW  signature-based algorithm  time-memory tradeoff  
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
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载:138/0  |  提交时间:2019/03/05
Extended Hensel construction  multivariate polynomial  resultant  sylvester matrix  
Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2016, 卷号: 29, 期号: 5, 页码: 1446-1471
作者:  Zhou Jie;  Wang Dingkang
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
Comprehensive Grobner system  parametric polynomials  perspective-three-point problem  real solutions  
On Implementing the Symbolic Preprocessing Function over Boolean Polynomial Rings in Grobner Basis Algorithms Using Linear Algebra 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2016, 卷号: 29, 期号: 3, 页码: 789-804
作者:  Sun Yao;  Huang Zhenyu;  Lin Dongdai;  Wang Dingkang
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Boolean polynomial rings  Grobner basis  implementation  linear algebra  
The F5 algorithm in Buchberger's style 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2011, 卷号: 24, 期号: 6, 页码: 1218-1231
作者:  Sun, Yao;  Wang, Dingkang
收藏  |  浏览/下载:74/0  |  提交时间:2018/07/30
Buchberger's style  F5 algorithm  Grobner basis