Several new infinite classes of 0-APN power functions over F2n

被引：1

作者：

Man, Yuying ^{[1
]}

Tian, Shizhu ^{[2
]}

Li, Nian ^{[2
]}

Zeng, Xiangyong ^{[1
]}

Zheng, Yanbin ^{[3
,4
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China

[2] Hubei Univ, Sch Cyber Sci & Technol, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China

[3] Guangdong Polytech Normal Univ, Sch Comp Sci, Guangzhou 510665, Peoples R China

[4] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2024年

基金：

中国国家自然科学基金;

关键词：

Power mapping; APN function; 0-APN function; Resultant;

D O I：

10.1007/s00200-024-00651-9

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The investigation of partially APN functions has attracted a lot of research interest recently. In this paper, we present several new infinite classes of 0-APN power functions over F-2n by using the multivariate method and resultant elimination, and show that these 0-APN power functions are CCZ-inequivalent to the known ones.

引用

页数：17

共 4 条

[1] New Infinite Classes of 0-APN Power Functions over F2n
Zhou, Huijuan
Zhuo, Zepeng
Chen, Guolong
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2024, E107A (10) : 1595 - 1602
[2] D-property for APN functions from F2n to F2n+1
Taniguchi, Hiroaki
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2023, 15 (03): : 627 - 647
[3] A negative answer to Bracken-Tan-Tan's problem on differentially 4-uniform permutations over F2n
Qu, Longjiang
Xiong, Hai
Li, Chao
FINITE FIELDS AND THEIR APPLICATIONS, 2013, 24 : 55 - 65
[4] D-property for APN functions from F2n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb {F}_{2}^{n}$\end{document} to F2n+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb {F}_{2}^{n+1}$\end{document}
Hiroaki Taniguchi
Cryptography and Communications, 2023, 15 (3) : 627 - 647

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