Nonexistence of two classes of generalized bent functions

doi:10.1007/s10623-016-0319-z

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	Nonexistence of two classes of generalized bent functions
	Li, Jianing 1; 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.