KMS Of Academy of mathematics and systems sciences, CAS
Solving low-density multiple subset sum problems with SVP oracle | |
Pan Yanbin; Zhang Feng | |
2016-02-01 | |
发表期刊 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY |
ISSN | 1009-6124 |
卷号 | 29期号:1页码:228-242 |
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. |
关键词 | Lattice low-density multiple modular subset sum problem multiple subset sum problem |
DOI | 10.1007/s11424-015-3324-9 |
语种 | 英语 |
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 |
WOS类目 | Mathematics, Interdisciplinary Applications |
WOS记录号 | WOS:000370162300014 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/22035 |
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. |
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