Nonexistence of two classes of generalized bent functions
文献类型：期刊论文
| 作者 | Li, Jianing1; Deng, Yingpu1,2
|
| 刊名 | DESIGNS CODES AND CRYPTOGRAPHY
 |
| 出版日期 | 2017-12-01 |
| 卷号 | 85期号:3页码:471-482 |
| 关键词 | Generalized bent functions Cyclotomic fields Prime ideal factorizations Class groups |
| ISSN号 | 0925-1022 |
| DOI | 10.1007/s10623-016-0319-z |
| 英文摘要 | We obtain some new nonexistence results of generalized bent functions from Z(q)(n) to Z(q) (called type [n, q]) in the case that there exist cyclotomic integers in Z[zeta(q)] with absolute value q (n/2). This result generalizes two previous nonexistence results [n, q] = [1, 2x7] of Pei (Lect Notes Pure Appl Math 141:165-172, 1993) and [3, 2 x 23(e)] of Jiang and Deng (Des Codes Cryptogr 75: 375-385, 2015). We also remark that by using a same method one can get similar nonexistence results of GBFs from Z(2)(n) to Z(m). |
| 资助项目 | NNSF of China[11471314] ; National Center for Mathematics and Interdisciplinary Sciences, CAS |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000410457400006 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26469]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Li, Jianing |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jianing,Deng, Yingpu. Nonexistence of two classes of generalized bent functions[J]. DESIGNS CODES AND CRYPTOGRAPHY,2017,85(3):471-482. |
| APA | Li, Jianing,&Deng, Yingpu.(2017).Nonexistence of two classes of generalized bent functions.DESIGNS CODES AND CRYPTOGRAPHY,85(3),471-482. |
| MLA | Li, Jianing,et al."Nonexistence of two classes of generalized bent functions".DESIGNS CODES AND CRYPTOGRAPHY 85.3(2017):471-482. |
入库方式： OAI收割
来源：数学与系统科学研究院
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