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수리과학연구소
Journal papers
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On non-monomial APcN permutations over finite fields of even characteristic
Title
On non-monomial APcN permutations over finite fields of even characteristic
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. 89
Keywords
c-Differential uniformity
;
Differential uniformity
;
Permutation
Publisher
Academic Press Inc.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
Recently, a new concept called the c-differential uniformity was proposed by Ellingsen et al. (2020), which generalizes the notion of differential uniformity measuring the resistance against differential cryptanalysis. Since then, finding functions having low c-differential uniformity has attracted the attention of many researchers. However it seems that, at this moment, there are not many non-monomial permutations having low c-differential uniformity. In this paper, we present new classes of (almost) perfect c-nonlinear non-monomial permutations over a binary field. © 2023 The Author(s)
DOI
10.1016/j.ffa.2023.102196
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