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onimplementingthesymbolicpreprocessingfunctionoverbooleanpolynomialringsingrobnerbasisalgorithmsusinglinearalgebra
Sun Yao1; Huang Zhenyu1; Lin Dongdai1; Wang Dingkang2
2016
Source Publicationjournalofsystemsscienceandcomplexity
ISSN1009-6124
Volume29Issue:3Pages:789
AbstractSome techniques using linear algebra was introduced by Faugere in F4 to speed up the reduction process during Grobner basis computations. These techniques can also be used in fast implementations of F5 and some other signature-based Grobner basis algorithms. When these techniques are applied, a very important step is constructing matrices from critical pairs and existing polynomials by the Symbolic Preprocessing function (given in F4). Since multiplications of monomials and polynomials are involved in the Symbolic Preprocessing function, this step can be very costly when the number of involved polynomials/monomials is huge. In this paper, multiplications of monomials and polynomials for a Boolean polynomial ring are investigated and a specific method of implementing the Symbolic Preprocessing function over Boolean polynomial rings is reported. Many examples have been tested by using this method, and the experimental data shows that the new method is very efficient.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/40483
Collection系统科学研究所
Affiliation1.中国科学院信息工程研究所
2.中国科学院数学与系统科学研究院
Recommended Citation
GB/T 7714
Sun Yao,Huang Zhenyu,Lin Dongdai,et al. onimplementingthesymbolicpreprocessingfunctionoverbooleanpolynomialringsingrobnerbasisalgorithmsusinglinearalgebra[J]. journalofsystemsscienceandcomplexity,2016,29(3):789.
APA Sun Yao,Huang Zhenyu,Lin Dongdai,&Wang Dingkang.(2016).onimplementingthesymbolicpreprocessingfunctionoverbooleanpolynomialringsingrobnerbasisalgorithmsusinglinearalgebra.journalofsystemsscienceandcomplexity,29(3),789.
MLA Sun Yao,et al."onimplementingthesymbolicpreprocessingfunctionoverbooleanpolynomialringsingrobnerbasisalgorithmsusinglinearalgebra".journalofsystemsscienceandcomplexity 29.3(2016):789.
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