A Class of New Quadratic Vectorial Bent Functions

被引：1
|
作者：
Pang Tingting [1 ]
Zeng Xiangyong [1 ]
Li Nian [1 ]
Xu Yunge [1 ]
机构：
[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China
来源：
CHINESE JOURNAL OF ELECTRONICS | 2020年 / 29卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Vectorial bent function; Permutation polynomial; Extended affine equivalence; Finite field; BALANCED FUNCTIONS; CONSTRUCTIONS; FAMILIES;
D O I：
10.1049/cje.2020.08.002
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A class of quadratic vectorial bent functions having the formF(x) = Tr-m(n)(ax(1)(2s)+1) + Tr-1(n)(bx2(2)(s)+1) is investigated, wheren;m;s1;s2 are positive integers and the coefficientsa,bbelong to the finite fieldF(2)(n). Through some discussions on the permutation property of certain linearized polynomials overF(2)(n), several classes of quadratic vectorial bent functions are presented for special cases ofn, and it is also verified by computer that some vectorial bent functions proposed are extended affine inequivalent to all known quadratic vectorial bent functions.
引用
收藏
页码：873 / 879
页数：7
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