Power functions with low uniformity on odd characteristic finite fields
文献类型：期刊论文
| 作者 | Zha ZhengBang2,3; Wang XueLi1 |
| 刊名 | Science china-mathematics
 |
| 出版日期 | 2010-08-01 |
| 卷号 | 53期号:8页码:1931-1940 |
| 关键词 | Almost perfect nonlinear function Differential uniform function Finite field |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-3149-x |
| 通讯作者 | Wang xueli(wangxuyuyan@yahoo.com.cn) |
| 英文摘要 | In this paper, we give some new low differential uniformity of some power functions defined on finite fields with odd characteristic. as corollaries of the uniformity, we obtain two families of almost perfect nonlinear functions in gf(3(n)) and gf(5(n)) separately. our results can be used to prove the dobbertin et al.'s conjecture. |
| WOS关键词 | GF(2(N)) ; MAPPINGS ; FAMILIES |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000281011200002 |
| 出版者 | SCIENCE PRESS |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2406613 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Wang XueLi |
| 作者单位 | 1.S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China 2.Luoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China 3.Chinese Acad Sci, Grad Univ, State Key Lab Informat Secur, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zha ZhengBang,Wang XueLi. Power functions with low uniformity on odd characteristic finite fields[J]. Science china-mathematics,2010,53(8):1931-1940. |
| APA | Zha ZhengBang,&Wang XueLi.(2010).Power functions with low uniformity on odd characteristic finite fields.Science china-mathematics,53(8),1931-1940. |
| MLA | Zha ZhengBang,et al."Power functions with low uniformity on odd characteristic finite fields".Science china-mathematics 53.8(2010):1931-1940. |
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来源：中国科学院大学
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