KMS Of Academy of mathematics and systems sciences, CAS
Nonexistence of two classes of generalized bent functions | |
Li, Jianing1; Deng, Yingpu1,2 | |
2017-12-01 | |
发表期刊 | DESIGNS CODES AND CRYPTOGRAPHY |
ISSN | 0925-1022 |
卷号 | 85期号:3页码:471-482 |
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). |
关键词 | Generalized bent functions Cyclotomic fields Prime ideal factorizations Class groups |
DOI | 10.1007/s10623-016-0319-z |
语种 | 英语 |
资助项目 | NNSF of China[11471314] ; National Center for Mathematics and Interdisciplinary Sciences, CAS |
WOS研究方向 | Computer Science ; Mathematics |
WOS类目 | Computer Science, Theory & Methods ; Mathematics, Applied |
WOS记录号 | WOS:000410457400006 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/26470 |
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. |
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