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연구기관
수리과학연구소
Journal papers
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Investigations of c-differential uniformity of permutations with Carlitz rank 3
Title
Investigations of c-differential uniformity of permutations with Carlitz rank 3
Authors
Jeong J.
;
Koo N.
;
Kwon S.
Ewha Authors
구남훈
SCOPUS Author ID
구남훈
Issue Date
2023
Journal Title
Finite Fields and their Applications
ISSN
1071-5797
Citation
Finite Fields and their Applications vol. 86
Keywords
c-differential uniformity
;
Carlitz rank
;
Permutation
Publisher
Academic Press Inc.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
The c-differential uniformity is recently proposed to reflect resistance against some variants of differential attack. Finding functions with low c-differential uniformity is attracting attention from many researchers. For even characteristic, it is known that permutations of low Carlitz rank have good cryptographic parameters, for example, low differential uniformity, high nonlinearity, etc. In this paper we show that permutations with low Carlitz rank have low c-differential uniformity. We also investigate c-differential uniformity of permutations with Carlitz rank 3 in detail. © 2022 Elsevier Inc.
DOI
10.1016/j.ffa.2022.102145
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