On differential spectra of involutions with low differential uniformity over finite fields with even characteristic

被引：0
作者：
Liu, Guoqiang [1 ]
Jiang, Sha [1 ]
Li, Kangquan [1 ]
机构：
[1] Natl Univ Def Technol, Changsha 410073, Peoples R China
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2024年
关键词：
Differential spectrum; Differential uniformity; Permutation; Involution; 4-UNIFORM PERMUTATIONS; CONSTRUCTIONS;
D O I：
10.1007/s00200-024-00646-6
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we determine the differential spectra of two known classes of involutions with low differential uniformity over finite fields with even characteristic completely. The key point of our method is that we propose several new definitions called special and ordinary points. In addition, it is interesting that one of our differential spectra is relative to the well-known Kloosterman sum.
引用
收藏
页数：18
相关论文
共 50 条
  • [31] Boomerang uniformity of some classes of functions over finite fields
    Garg, Kirpa
    Ul Hasan, Sartaj
    Stanica, Pantelimon
    DISCRETE APPLIED MATHEMATICS, 2024, 343 : 166 - 179
  • [32] Differential spectra of a class of power permutations with characteristic 5
    Haode Yan
    Chengju Li
    Designs, Codes and Cryptography, 2021, 89 : 1181 - 1191
  • [33] Constructing Functions with Low Differential Uniformity
    Bergman, Emily
    Coulter, Robert S.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (02)
  • [34] Some Functions with Low Differential Uniformity
    SUN Guanghong1
    2.State Key Laboratory of Information Security
    WuhanUniversityJournalofNaturalSciences, 2010, 15 (06) : 479 - 487
  • [35] Differential spectra of a class of power permutations with characteristic 5
    Yan, Haode
    Li, Chengju
    DESIGNS CODES AND CRYPTOGRAPHY, 2021, 89 (06) : 1181 - 1191
  • [36] Constructing Functions with Low Differential Uniformity
    Emily Bergman
    Robert S. Coulter
    Mediterranean Journal of Mathematics, 2022, 19
  • [37] Classes of Conjugate Involutions of Symplectic Groups over Fields of Even Order and Related Questions
    Radchenko, Oksana V.
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2008, 1 (03): : 324 - 328
  • [38] On the boomerang uniformity of a class of permutation quadrinomials over finite fields
    Wu, Yanan
    Wang, Lisha
    Li, Nian
    Zeng, Xiangyong
    Tang, Xiaohu
    DISCRETE MATHEMATICS, 2022, 345 (10)
  • [39] A CONNECTION BETWEEN THE BOOMERANG UNIFORMITY AND THE EXTENDED DIFFERENTIAL IN ODD CHARACTERISTIC AND APPLICATIONS
    Pal, Mohit
    Stanica, Pantelimon
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2025,
  • [40] Wavelength-differential imaging for extraction of characteristic spectra
    Yamashita, K
    Nagashima, T
    Hatta, S
    Kajihara, R
    Hamakawa, Y
    Okuyama, M
    SENSORS AND ACTUATORS A-PHYSICAL, 2002, 97-8 : 179 - 183
12345