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

被引：2

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)].

引用

页码：738 / 746

页数：9

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