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A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 2, 页码: 464-483
作者:  Zhu Wei;  Gao Xiao-Shan
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
Differential polynomial system  regular triangular set  saturated triangular set  triangular decomposition  
Preface - Special Issue to Celebrate the 30th Anniversary of Journal of Systems Science and Complexity 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 1, 页码: 1-3
作者:  Gao Xiao-Shan;  Chen Jie;  Shao Jun;  Wang Shouyang
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Toric Difference Variety 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 1, 页码: 173-195
作者:  Gao Xiao-Shan;  Huang Zhang;  Wang Jie;  Yuan Chun-Ming
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Affine N[x]-semimodule  difference torus  T-orbit  toirc difference ideal  toric difference variety  Z[x]-lattice.  
Proper reparametrization for inherently improper unirational varieties 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2011, 卷号: 24, 期号: 2, 页码: 367-380
作者:  Shen, Liyong;  Chionh, Engwee;  Gao, Xiao-Shan;  Li, Jia
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
BKK bound  chow form  improper lattice supports  improper rational parametrizations  reparametrization  support transformation  
A criterion for testing whether a difference ideal is prime 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2009, 卷号: 22, 期号: 4, 页码: 627-635
作者:  Yuan, Chunming;  Gao, Xiao-Shan
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Characteristic set  difference prime ideal  irreducibility  strong irreducibility  
A characteristic set method for solving Boolean equations and applications in cryptanalysis of stream ciphers 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2008, 卷号: 21, 期号: 2, 页码: 191-208
作者:  Chai, Fengjuan;  Gao, Xiao-Shan;  Yuan, Chunming
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
Boolean equation  characteristic set method  cryptanalysis  finite field  stream ciphers