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
来源：
PROBLEMS OF INFORMATION TRANSMISSION | 2022年 / 58卷 / 04期
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
  • [31] Constructions of Resilient Functions Over Finite Fields
    Zhang Jie
    Liu Zhenhua
    Wen Qiaoyan
    PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON IMAGE ANALYSIS AND SIGNAL PROCESSING, 2009, : 317 - +
  • [32] The second-order zero differential spectra of some functions over finite fields
    Garg, Kirpa
    Ul Hasan, Sartaj
    Riera, Constanza
    Stanica, Pantelimon
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2025,
  • [33] On Inverses of Permutation Polynomials of Small Degree Over Finite Fields
    Zheng, Yanbin
    Wang, Qiang
    Wei, Wenhong
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (02) : 914 - 922
  • [34] Rational functions over finite fields having continued fraction expansions with linear partial quotients
    Friesen, Christian
    JOURNAL OF NUMBER THEORY, 2007, 126 (02) : 185 - 192
  • [35] Invariants of trace forms over finite fields of characteristic 2
    Fitzgerald, Robert W.
    FINITE FIELDS AND THEIR APPLICATIONS, 2009, 15 (02) : 261 - 275
  • [36] Complete permutation polynomials over finite fields of odd characteristic
    Xu Guangkui
    Cao, Xiwang
    FINITE FIELDS AND THEIR APPLICATIONS, 2015, 31 : 228 - 240
  • [37] Technical history of discrete logarithms in small characteristic finite fields
    Joux, Antoine
    Pierrot, Cecile
    DESIGNS CODES AND CRYPTOGRAPHY, 2016, 78 (01) : 73 - 85
  • [38] On the existence of some specific elements in finite fields of characteristic 2
    Wang, Peipei
    Cao, Xiwang
    Feng, Rongquan
    FINITE FIELDS AND THEIR APPLICATIONS, 2012, 18 (04) : 800 - 813
  • [39] MOMENTS OF GAUSSIAN HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS
    Pal, Ankan
    Roy, Bidisha
    Sadek, Mohammad
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2023, 69 (01) : 77 - 92
  • [40] Product formulas for hypergeometric functions over finite fields
    Otsubo, Noriyuki
    Senoue, Takato
    RESEARCH IN NUMBER THEORY, 2022, 8 (04)
12345