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A class of permutations on Zp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {Z}}_{p}$$\end{document} with differential uniformity at most 3A class of permutations on Zp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {Z}}_{p}$$\end{document} with differential uniformity at most 3P. Gupta et al.
被引：0
作者：
Prachi Gupta
[1
]
P. R. Mishra
[2
]
Atul Gaur
[1
]
机构：
[1] University of Delhi,Department of Mathematics
[2] Defence Research and Development Organization,Scientific Analysis Group
[3] Metcalfe House,undefined
关键词：
Differential uniformity;
Finite field;
Permutation;
05A05;
11T71;
94A60;
D O I：
10.1007/s10623-024-01548-x
中图分类号：
学科分类号：
摘要：
In this paper, we give a class of permutations on Zp\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$${\mathbb {Z}}_{p}$$\end{document} having differential uniformity at most 3, where prime p satisfies p≡1(mod4)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$p \equiv 1 \pmod {4}$$\end{document}. Further, we present a sufficient condition for differential uniformity exactly 3 and identify a subclass achieving this value.
引用
收藏
页码：1283 / 1293
页数：10
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