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 | |
| Source Publication | DESIGNS CODES AND CRYPTOGRAPHY
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| ISSN | 0925-1022 |
| Volume | 85Issue:3Pages:471-482 |
| Abstract | 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). |
| Keyword | Generalized bent functions Cyclotomic fields Prime ideal factorizations Class groups |
| DOI | 10.1007/s10623-016-0319-z |
| Language | 英语 |
| Funding Project | NNSF of China[11471314] ; National Center for Mathematics and Interdisciplinary Sciences, CAS |
| WOS Research Area | Computer Science ; Mathematics |
| WOS Subject | Computer Science, Theory & Methods ; Mathematics, Applied |
| WOS ID | WOS:000410457400006 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26470 |
| Collection | 系统科学研究所 |
| Corresponding Author | Li, Jianing |
| Affiliation | 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 |
| Recommended Citation 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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