中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Solving low-density multiple subset sum problems with SVP oracle

文献类型:期刊论文

作者Pan Yanbin; Zhang Feng
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2016-02-01
卷号29期号:1页码:228-242
关键词Lattice low-density multiple modular subset sum problem multiple subset sum problem
ISSN号1009-6124
DOI10.1007/s11424-015-3324-9
英文摘要It is well known that almost all subset sum problems with density less than 0.9408 center dot center dot center dot can be solved in polynomial time with an SVP oracle that can find a shortest vector in a special lattice. In this paper, the authors show that a similar result holds for the k-multiple subset sum problem which has k subset sum problems with exactly the same solution. Specially, for the single subset sum problem (k = 1), a modified lattice is introduced to make the proposed analysis much simpler and the bound for the success probability tighter than before. Moreover, some extended versions of the multiple subset sum problem are also considered.
资助项目National Natural Science Foundation of China[11201458] ; National Natural Science Foundation of China[11471314] ; 973 Project[2011CB302401] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000370162300014
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/22034]  
专题系统科学研究所
通讯作者Pan Yanbin; Zhang Feng
作者单位Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Pan Yanbin,Zhang Feng. Solving low-density multiple subset sum problems with SVP oracle[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2016,29(1):228-242.
APA Pan Yanbin,&Zhang Feng.(2016).Solving low-density multiple subset sum problems with SVP oracle.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,29(1),228-242.
MLA Pan Yanbin,et al."Solving low-density multiple subset sum problems with SVP oracle".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 29.1(2016):228-242.

入库方式: OAI收割

来源:数学与系统科学研究院

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