On random nonsingular Hermite Normal Form

doi:10.1016/j.jnt.2015.12.004

CSpace > 系统科学研究所

	On random nonsingular Hermite Normal Form
	Hu, Gengran 1,2; Pan, Yanbin2 ; Liu, Renzhang 2; Chen, Yuyun 3
	2016-07-01
发表期刊	JOURNAL OF NUMBER THEORY
ISSN	0022-314X
卷号	164 页码:66-86
摘要	Hermite 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.
关键词	Hermite Normal Form Statistical properties Random full-rank integer lattice
DOI	10.1016/j.jnt.2015.12.004
语种	英语
资助项目	NNSF 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研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000372765700005
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22393
专题	系统科学研究所
通讯作者	Hu, Gengran
作者单位	1.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
推荐引用方式 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.