View : 19 Download: 0

New differentially 4-uniform permutations from modifications of the inverse function

Title
New differentially 4-uniform permutations from modifications of the inverse function
Authors
Jeong J.Koo N.Kwon S.
Ewha Authors
구남훈
Issue Date
2022
Journal Title
Finite Fields and their Applications
ISSN
1071-5797JCR Link
Citation
Finite Fields and their Applications vol. 77
Keywords
Differential uniformityDifferential-linear uniformityDifferentially 4-uniform permutationsNonlinearity
Publisher
Academic Press Inc.
Indexed
SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
Finding permutations with good cryptographic parameters is a good research topic about constructing a secure S-box in substitution-permutation networks. In particular constructing differentially 4-uniform permutations has made considerable progress in recent years. In this paper, we present new differentially 4-uniform permutations from the inverse function composed by disjoint cycles. Our new differentially 4-uniform permutations have high nonlinearity and low differential-linear uniformity. We give the differential spectrum and the extended Walsh spectrum of some of our differentially 4-uniform permutations, and then we can see that they are CCZ-inequivalent to some permutations whose differential spectrum and extended Walsh spectrum are known. © 2021 Elsevier Inc.
DOI
10.1016/j.ffa.2021.101931
Appears in Collections:
연구기관 > 수리과학연구소 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE