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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：132/0  |  提交时间：2021/04/26
Grö  bner basis  matrix Diophantine equation  module  multivariate polynomial  
Quantum Algorithm for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 40
作者:  Chen Yu-Ao;  Gao Xiao-Shan
收藏  |  浏览/下载：131/0  |  提交时间：2021/04/26
Block cipher AES  Boolean equation solving  condition number  hash function SHA-3  Keccak  HHL algorithm  MPKC  polynomial system solving  quantum algorithm  stream cipher Trivum  
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：154/0  |  提交时间：2021/01/14
Comprehensive Grobner systems  high-dimensional polynomial system  rational representation  rational univariate representation  
Descent of Ordinary Differential Equations with Rational General Solutions 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 10
作者:  Feng, Shuang;  Feng, Ruyong
收藏  |  浏览/下载：145/0  |  提交时间：2021/01/14
Algebraic ordinary differential equation  differential descent  rational general solution  
Isotopic Meshing of a Real Algebraic Space Curve 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 卷号: 33, 期号: 4, 页码: 1275-1296
作者:  Jin, Kai;  Cheng, Jinsan
收藏  |  浏览/下载：140/0  |  提交时间：2020/09/23
Algebraic space curve  topology  weak generic position  
On the Topology and Isotopic Meshing of Plane Algebraic Curves 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 卷号: 33, 期号: 1, 页码: 230-260
作者:  Jin, Kai;  Cheng, Jinsan
收藏  |  浏览/下载：111/0  |  提交时间：2020/05/24
Interval polynomial  isotopic meshing  plane curve  topology  
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：174/0  |  提交时间：2019/04/02
Comprehensive Grobner basis  comprehensive Grobner system  discovering geometric theorems mechanically  parametric polynomial system  quantifier elimination  
Global Optimization of Polynomials over Real Algebraic Sets 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 158-184
作者:  Wang Chu;  Yang Zhi-Hong;  Zhi Lihong
收藏  |  浏览/下载：153/0  |  提交时间：2019/04/02
Polynomial optimization  real algebraic set  generalized critical value  
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：149/0  |  提交时间：2019/03/05
Extended Hensel construction  multivariate polynomial  resultant  sylvester matrix  
An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2018, 卷号: 31, 期号: 2, 页码: 539-551
作者:  Huang, Qiaolong
收藏  |  浏览/下载：151/0  |  提交时间：2018/07/30
Ben-Or and Tiwari's algorithm  early termination algorithm  recursive sparse interpolation