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 | |
Source Publication | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY |
ISSN | 1009-6124 |
Volume | 29Issue:1Pages:228-242 |
Abstract | 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. |
Keyword | Lattice low-density multiple modular subset sum problem multiple subset sum problem |
DOI | 10.1007/s11424-015-3324-9 |
Language | 英语 |
Funding Project | 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 Research Area | Mathematics |
WOS Subject | Mathematics, Interdisciplinary Applications |
WOS ID | WOS:000370162300014 |
Publisher | SPRINGER HEIDELBERG |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22035 |
Collection | 系统科学研究所 |
Corresponding Author | Pan Yanbin; Zhang Feng |
Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China |
Recommended Citation 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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