on designated-weight boolean functions with highest algebraic immunity
文献类型：期刊论文
| 作者 | Liu MeiCheng ; Du YuSong ; Pei DingYi ; Lin DongDai |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2010 |
| 卷号 | 53期号:11页码:2847-2854 |
| 关键词 | cryptography Boolean function algebraic immunity algebraic degree nonlinearity |
| ISSN号 | 1674-7283 |
| 学科主题 | Mathematics ; Applied; Mathematics |
| 收录类别 | SCI |
| WOS记录号 | WOS:000284382200003 |
| 公开日期 | 2011-05-23 |
| 附注 | Algebraic immunity has been considered as one of cryptographically significant properties for Boolean functions. In this paper, we study Sigma(d-1)(i=0) ((n)(i))-weight Boolean functions with algebraic immunity achieving the minimum of d and n - d + 1, which is highest for the functions. We present a simpler sufficient and necessary condition for these functions to achieve highest algebraic immunity. In addition, we prove that their algebraic degrees are not less than the maximum of d and n - d + 1, and for d not equal n+1/2 their nonlinearities equal the minimum of Sigma(d-1)(i=0) ((n)(i)) and Sigma(n-d)(i=0) ((n)(i)). Lastly, we identify two classes of such functions, one having algebraic degree of n or n - 1. |
| 源URL | [http://124.16.136.157/handle/311060/9756]  |
| 专题 | 软件研究所_信息安全国家重点实验室_期刊论文 |
| 推荐引用方式 GB/T 7714 | Liu MeiCheng,Du YuSong,Pei DingYi,et al. on designated-weight boolean functions with highest algebraic immunity[J]. SCIENCE CHINA-MATHEMATICS,2010,53(11):2847-2854. |
| APA | Liu MeiCheng,Du YuSong,Pei DingYi,&Lin DongDai.(2010).on designated-weight boolean functions with highest algebraic immunity.SCIENCE CHINA-MATHEMATICS,53(11),2847-2854. |
| MLA | Liu MeiCheng,et al."on designated-weight boolean functions with highest algebraic immunity".SCIENCE CHINA-MATHEMATICS 53.11(2010):2847-2854. |
入库方式： OAI收割
来源：软件研究所
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