Some Classes of Balanced Functions over Finite Fields with a Small Value of the Linear Characteristic

被引:0
|
作者
Kamlovskii, O. V. [1 ]
Pankov, K. N. [2 ]
机构
[1] Moscow Tech Univ Commun & Informat, Dept Probabil Theory & Appl Math, Moscow, Russia
[2] Moscow Tech Univ Commun & Informat, Dept Informat Secur, Moscow, Russia
关键词
balanced functions; linear characteristic of functions; finite fields; resilient functions; CORRELATION-IMMUNE; BENT FUNCTIONS;
D O I
10.1134/S0032946022040093
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We present balanced functions over finite fields with a small value of the linear characteristic. Previously, linear characteristics of similar classes of functions were studied for the two-element field only.
引用
收藏
页码:389 / 402
页数:14
相关论文
共 50 条
  • [41] Several classes of linear codes with few weights over finite fields
    He, Yucong
    Mesnager, Sihem
    Li, Nian
    Wang, Lisha
    Zeng, Xiangyong
    FINITE FIELDS AND THEIR APPLICATIONS, 2023, 92
  • [42] On a class of binomial bent functions over the finite fields of odd characteristic
    Zheng, Dabin
    Yu, Long
    Hu, Lei
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2013, 24 (06) : 461 - 475
  • [43] Monomial and quadratic bent functions over the finite fields of odd characteristic
    Helleseth, T
    Kholosha, A
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (05) : 2018 - 2032
  • [44] New monomial bent functions over the finite fields of odd characteristic
    Helleseth, T
    Kholosha, A
    Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, 2005, : 72 - 76
  • [45] CHARACTERISTIC OF SOME CLASSES OF FUNCTIONS AND OF THEIR INTEGRALS
    YANAGIHA.N
    KAWASE, S
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1972, 25 (NOV) : 577 - &
  • [46] REMARKS ON SOME CLASSES OF CHARACTERISTIC FUNCTIONS
    KAWATA, T
    ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (03): : 963 - &
  • [47] On a class of binomial bent functions over the finite fields of odd characteristic
    Dabin Zheng
    Long Yu
    Lei Hu
    Applicable Algebra in Engineering, Communication and Computing, 2013, 24 : 461 - 475
  • [48] New Binomial Bent Functions over the Finite Fields of Odd Characteristic
    Helleseth, Tor
    Kholosha, Alexander
    2010 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, 2010, : 1277 - 1281
  • [49] New Binomial Bent Functions Over the Finite Fields of Odd Characteristic
    Helleseth, Tor
    Kholosha, Alexander
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (09) : 4646 - 4652
  • [50] A Class of Binomial Bent Functions Over the Finite Fields of Odd Characteristic
    Jia, Wenjie
    Zeng, Xiangyong
    Helleseth, Tor
    Li, Chunlei
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2012, 58 (09) : 6054 - 6063