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
来源：
Designs, Codes and Cryptography | 2025年 / 93卷 / 5期
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.
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页码：1283 / 1293
页数：10
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