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

被引：1
|
作者：
Lv, Chang [1 ]
Li, Jianing [2 ]
机构：
[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
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2017年 / 63卷 / 01期
关键词：
Generalized bent functions; cyclotomic fields; class groups; Stickelberger relations; FIELDS;
D O I：
10.1109/TIT.2016.2624269
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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)].
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页码：738 / 746
页数：9
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