On quadratic APN functions and dimensional dual hyperovals

被引：0
|
作者：
Yves Edel
机构：
[1] Ghent University,Department of Pure Mathematics and Computer Algebra
来源：
Designs, Codes and Cryptography | 2010年 / 57卷
关键词：
Finite fields; Finite geometry; APN functions; Dimensional dual hyperovals; 52C35; 94A60; 11T06; 11T71;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we characterize the d-dimensional dual hyperovals in PG(2d + 1, 2) that can be obtained by Yoshiara’s construction (Innov Incid Geom 8:147–169, 2008) from quadratic APN functions and state a one-to-one correspondence between the extended affine equivalence classes of quadratic APN functions and the isomorphism classes of these dual hyperovals.
引用
收藏
页码：35 / 44
页数：9
相关论文
共 50 条
  • [31] Dimensional dual hyperovals associated with Steiner systems
    del Fra, A
    Yoshiara, S
    EUROPEAN JOURNAL OF COMBINATORICS, 2005, 26 (02) : 173 - 194
  • [32] Dimensional dual hyperovals in classical polar spaces
    Sheekey, John
    DESIGNS CODES AND CRYPTOGRAPHY, 2016, 80 (02) : 415 - 420
  • [33] Quadratic equations from APN power functions
    Cheon, JH
    Lee, DH
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2006, E89A (01) : 19 - 27
  • [34] Two New Families of Quadratic APN Functions
    Li, Kangquan
    Zhou, Yue
    Li, Chunlei
    Qu, Longjiang
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2022, 68 (07) : 4761 - 4769
  • [35] A matrix approach for constructing quadratic APN functions
    Yu, Yuyin
    Wang, Mingsheng
    Li, Yongqiang
    DESIGNS CODES AND CRYPTOGRAPHY, 2014, 73 (02) : 587 - 600
  • [36] Construction of CCZ transform for quadratic APN functions
    Zhang, Xinyang
    Zhou, Meng
    COGNITIVE SYSTEMS RESEARCH, 2019, 57 : 41 - 45
  • [37] A matrix approach for constructing quadratic APN functions
    Yuyin Yu
    Mingsheng Wang
    Yongqiang Li
    Designs, Codes and Cryptography, 2014, 73 : 587 - 600
  • [38] Notes on Taniguchi's dimensional dual hyperovals
    Yoshiara, Satoshi
    EUROPEAN JOURNAL OF COMBINATORICS, 2007, 28 (03) : 674 - 684
  • [39] Dimensional dual hyperovals in classical polar spaces
    John Sheekey
    Designs, Codes and Cryptography, 2016, 80 : 415 - 420
  • [40] A NOTE ON THE PROPERTIES OF ASSOCIATED BOOLEAN FUNCTIONS OF QUADRATIC APN FUNCTIONS
    Gorodilova, A. A.
    PRIKLADNAYA DISKRETNAYA MATEMATIKA, 2020, (47): : 16 - 21
12345