CSpace  > 系统科学研究所
On random nonsingular Hermite Normal Form
Hu, Gengran1,2; Pan, Yanbin2; Liu, Renzhang2; Chen, Yuyun3
2016-07-01
Source PublicationJOURNAL OF NUMBER THEORY
ISSN0022-314X
Volume164Pages:66-86
AbstractHermite Normal Form (HNF) is a classical subject in number theory and has been studied for a long time. Recently, some new applications of HNF have been found in lattice based cryptography. In this paper, we discuss the uniform distribution and statistical properties of nonsingular HNF. Moreover, we use these results to construct an algorithm for generating random full-rank integer lattice. (C) 2016 Elsevier Inc. All rights reserved.
KeywordHermite Normal Form Statistical properties Random full-rank integer lattice
DOI10.1016/j.jnt.2015.12.004
Language英语
Funding ProjectNNSF of China[11201458] ; NNSF of China[11471314] ; NNSF of China[61572490] ; NNSF of China[11371138] ; NNSF of China[11531002] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000372765700005
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22393
Collection系统科学研究所
Affiliation1.Hangzhou Dianzi Univ, Sch Commun Engn, Hangzhou 310018, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
3.Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China
Recommended Citation
GB/T 7714
Hu, Gengran,Pan, Yanbin,Liu, Renzhang,et al. On random nonsingular Hermite Normal Form[J]. JOURNAL OF NUMBER THEORY,2016,164:66-86.
APA Hu, Gengran,Pan, Yanbin,Liu, Renzhang,&Chen, Yuyun.(2016).On random nonsingular Hermite Normal Form.JOURNAL OF NUMBER THEORY,164,66-86.
MLA Hu, Gengran,et al."On random nonsingular Hermite Normal Form".JOURNAL OF NUMBER THEORY 164(2016):66-86.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Hu, Gengran]'s Articles
[Pan, Yanbin]'s Articles
[Liu, Renzhang]'s Articles
Baidu academic
Similar articles in Baidu academic
[Hu, Gengran]'s Articles
[Pan, Yanbin]'s Articles
[Liu, Renzhang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Hu, Gengran]'s Articles
[Pan, Yanbin]'s Articles
[Liu, Renzhang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.