On the Non-Existence of Certain Classes of Generalized Bent Functions

doi:10.1109/TIT.2016.2624269

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	On the Non-Existence of Certain Classes of Generalized Bent Functions
	Lv, Chang 1; Li, Jianing 2
	2017
发表期刊	IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN	0018-9448
卷号	63 期号:1 页码:738-746
摘要	We obtain new non-existence results of generalized bent functions from Z(q)(n) to Z(q) (called type [n, q]). The first case is a class with types, where q = 2(p1)(r1) p(2)(r2). The second case contains two types [1 <= n <= 3, 2 x 31(e)] and [1 <= n <= 5, 2 x 151(e)].
关键词	Generalized bent functions cyclotomic fields class groups Stickelberger relations
DOI	10.1109/TIT.2016.2624269
语种	英语
资助项目	National Key Basic Research Project of China[2011CB302400] ; Strategic Priority Research Program through the Chinese Academy of Sciences[XDA06010701]
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Information Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000391740000043
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24487
专题	中国科学院数学与系统科学研究院
通讯作者	Lv, Chang
作者单位	1.Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Key Lab Math Mechanizat, Beijing 100093, Peoples R China
推荐引用方式 GB/T 7714	Lv, Chang,Li, Jianing. On the Non-Existence of Certain Classes of Generalized Bent Functions[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2017,63(1):738-746.
APA	Lv, Chang,&Li, Jianing.(2017).On the Non-Existence of Certain Classes of Generalized Bent Functions.IEEE TRANSACTIONS ON INFORMATION THEORY,63(1),738-746.
MLA	Lv, Chang,et al."On the Non-Existence of Certain Classes of Generalized Bent Functions".IEEE TRANSACTIONS ON INFORMATION THEORY 63.1(2017):738-746.