on the nonexistence of bent functions
文献类型：期刊论文
| 作者 | Zhang Yin ; Liu Meicheng ; Lin Dongdai |
| 刊名 | INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE
 |
| 出版日期 | 2011 |
| 卷号 | 22期号:6页码:1431-1438 |
| 关键词 | Boolean function bent function nonlinearity d-upper Boolean function |
| ISSN号 | 0129-0541 |
| 中文摘要 | In this paper, we study the nonexistence of bent functions in the class of Boolean functions without monomials of degree less than d in their algebraic normal forms (ANF). We prove that n-variable Boolean functions in such class are not bent when there are not more than n + d - 3 monomials in their ANFs. We also show that an n-variable Boolean function is not bent if it has no monomial of degree less than inverted right perpendicular3n/8 + 3/4inverted left perpendicular in its ANF. |
| 英文摘要 | In this paper, we study the nonexistence of bent functions in the class of Boolean functions without monomials of degree less than d in their algebraic normal forms (ANF). We prove that n-variable Boolean functions in such class are not bent when there are not more than n + d - 3 monomials in their ANFs. We also show that an n-variable Boolean function is not bent if it has no monomial of degree less than inverted right perpendicular3n/8 + 3/4inverted left perpendicular in its ANF. |
| 学科主题 | Computer Science |
| 收录类别 | SCI |
| 资助信息 | National 973 Program of China2011CB302400; National Natural Science Foundation of China60970152; Institute of SoftwareYOCX285056; CAS |
| 语种 | 英语 |
| WOS记录号 | WOS:000294809400013 |
| 公开日期 | 2013-10-08 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/16078]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Zhang Yin,Liu Meicheng,Lin Dongdai. on the nonexistence of bent functions[J]. INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE,2011,22(6):1431-1438. |
| APA | Zhang Yin,Liu Meicheng,&Lin Dongdai.(2011).on the nonexistence of bent functions.INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE,22(6),1431-1438. |
| MLA | Zhang Yin,et al."on the nonexistence of bent functions".INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE 22.6(2011):1431-1438. |
入库方式： OAI收割
来源：软件研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。