中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
Construction of 1-resilient Boolean functions with optimum algebraic immunity

文献类型：期刊论文

作者Su, Wei1; Zeng, Xiangyong1,2; Hu, Lei2,3
刊名INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
出版日期2011
卷号88期号:2页码:222-238
关键词Boolean function balancedness algebraic immunity resiliency nonlinearity
ISSN号0020-7160
DOI10.1080/00207160903496985
英文摘要In this paper, for an integer n >= 10, two classes of n-variable Boolean functions with optimum algebraic immunity (AI) are constructed, and their nonlinearities are also determined. Based on non-degenerate linear transforms to the proposed functions, we can obtain 1-resilient n-variable Boolean functions with optimum AI and high nonlinearity if n - 1 is never equal to any power of 2.
资助项目Chenguang plan of Wuhan City[200850731340] ; National Science Foundation of China (NSFC)[60973130] ; National Science Foundation of China (NSFC)[60773134] ; National Science Foundation of China (NSFC)[10990011] ; National Basic Research (973) Program of China[2007CB311201]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000286514900001
出版者TAYLOR & FRANCIS LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12244]  
专题中国科学院数学与系统科学研究院
通讯作者Zeng, Xiangyong
作者单位1.Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China
2.Chinese Acad Sci, State Key Lab Informat Secur, Grad Sch, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Su, Wei,Zeng, Xiangyong,Hu, Lei. Construction of 1-resilient Boolean functions with optimum algebraic immunity[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2011,88(2):222-238.
APA Su, Wei,Zeng, Xiangyong,&Hu, Lei.(2011).Construction of 1-resilient Boolean functions with optimum algebraic immunity.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,88(2),222-238.
MLA Su, Wei,et al."Construction of 1-resilient Boolean functions with optimum algebraic immunity".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 88.2(2011):222-238.

入库方式： OAI收割

来源：数学与系统科学研究院

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。