CSpace  > 系统科学研究所
Nonexistence of two classes of generalized bent functions
Li, Jianing1; Deng, Yingpu1,2
2017-12-01
Source PublicationDESIGNS CODES AND CRYPTOGRAPHY
ISSN0925-1022
Volume85Issue:3Pages:471-482
AbstractWe 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).
KeywordGeneralized bent functions Cyclotomic fields Prime ideal factorizations Class groups
DOI10.1007/s10623-016-0319-z
Language英语
Funding ProjectNNSF of China[11471314] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Theory & Methods ; Mathematics, Applied
WOS IDWOS:000410457400006
PublisherSPRINGER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26470
Collection系统科学研究所
Affiliation1.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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Li, Jianing]'s Articles
[Deng, Yingpu]'s Articles
Baidu academic
Similar articles in Baidu academic
[Li, Jianing]'s Articles
[Deng, Yingpu]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Li, Jianing]'s Articles
[Deng, Yingpu]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.