On random nonsingular Hermite Normal Form
文献类型：期刊论文
| 作者 | Hu, Gengran1,2; Pan, Yanbin2 ; Liu, Renzhang2; Chen, Yuyun3
|
| 刊名 | JOURNAL OF NUMBER THEORY
 |
| 出版日期 | 2016-07-01 |
| 卷号 | 164页码:66-86 |
| 关键词 | Hermite Normal Form Statistical properties Random full-rank integer lattice |
| ISSN号 | 0022-314X |
| DOI | 10.1016/j.jnt.2015.12.004 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000372765700005 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22392]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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