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연구기관
수리과학연구소
Journal papers
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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
SCOPUS Author ID
구남훈
Issue Date
2022
Journal Title
Finite Fields and their Applications
ISSN
1071-5797
Citation
Finite Fields and their Applications vol. 77
Keywords
Differential uniformity
;
Differential-linear uniformity
;
Differentially 4-uniform permutations
;
Nonlinearity
Publisher
Academic Press Inc.
Indexed
SCIE; 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
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