On Quadratic Vectorial Bent Functions in Trace Forms

被引：0
|
作者：
ZHOU Junchao [1 ]
XU Yunge [1 ]
ZHANG Wanshan [2 ]
机构：
[1] Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University
[2] School of Computer and Information Engineering, Hubei University
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：
D O I：
暂无
中图分类号：
O174 [函数论];
学科分类号：
070104 ;
摘要：
By permutation behavior of certain linearized polynomials,the bentness of quadratic vectorial bent functions of the form ■ is investigated,where n=2 kt and m kt with k,t being positive integers.The numerical results show that there exist new quadratic vectorial bent functions obtained up to extended affine equivalence.
引用
收藏
页码：865 / 872
页数：8
相关论文
共 50 条
  • [1] On Quadratic Vectorial Bent Functions in Trace Forms
    Zhou Junchao
    Xu Yunge
    Zhang Wanshan
    [J]. CHINESE JOURNAL OF ELECTRONICS, 2020, 29 (05) : 865 - 872
  • [2] Vectorial bent functions and linear codes from quadratic forms
    Xie, Xianhong
    Ouyang, Yi
    Mao, Ming
    [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2023, 15 (05): : 1011 - 1029
  • [3] Vectorial bent functions and linear codes from quadratic forms
    Xianhong Xie
    Yi Ouyang
    Ming Mao
    [J]. Cryptography and Communications, 2023, 15 : 1011 - 1029
  • [4] A Class of New Quadratic Vectorial Bent Functions
    PANG Tingting
    ZENG Xiangyong
    LI Nian
    XU Yunge
    [J]. Chinese Journal of Electronics, 2020, 29 (05) : 873 - 879
  • [5] A Class of New Quadratic Vectorial Bent Functions
    Pang Tingting
    Zeng Xiangyong
    Li Nian
    Xu Yunge
    [J]. CHINESE JOURNAL OF ELECTRONICS, 2020, 29 (05) : 873 - 879
  • [6] Vectorial Bent Functions from Multiple Terms Trace Functions
    Muratovic-Ribic, Amela
    Pasalic, Enes
    Bajric, Samed
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (02) : 1337 - 1347
  • [7] On quadratic bent functions in polynomial forms
    Hu, Honggang
    Feng, Dengguo
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (07) : 2610 - 2615
  • [8] Quadratic bent functions of polynomial forms and their applications to bent sequences
    Yu, Nam Yul
    Gong, Guang
    [J]. 2006 23RD BIENNIAL SYMPOSIUM ON COMMUNICATIONS, 2006, : 128 - +
  • [9] Constructions of quadratic bent functions in polynomial forms
    Yu, Nam Yul
    Gong, Guang
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (07) : 3291 - 3299
  • [10] Non weakly regular bent polynomials from vectorial quadratic functions
    Cesmelioglu, Ayca
    Meidl, Wilfried
    [J]. TOPICS IN FINITE FIELDS, 2015, 632 : 83 - 93
12345