View : 48 Download: 0

Constructing differentially 4-uniform involutions over F22k by using Carlitz form

Title
Constructing differentially 4-uniform involutions over F22k by using Carlitz form
Authors
Jeong J.Koo N.Kwon S.
Ewha Authors
구남훈
SCOPUS Author ID
구남훈scopus
Issue Date
2022
Journal Title
Finite Fields and their Applications
ISSN
1071-5797JCR Link
Citation
Finite Fields and their Applications vol. 78
Keywords
Algebraic degreeCarlitz rankDifferential uniformityDifferentially 4-uniform permutationInvolutionNonlinearitySubstitution box (S-box)
Publisher
Academic Press Inc.
Indexed
SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
Differentially 4-uniform involutions on F22k play important roles in the design of substitution boxes (S-boxes). Despite the active researches on differentially 4-uniform permutation, there is not so much research on differentially 4-uniform involutions, especially over the field F2n with 4

n. In this paper, we introduce a new approach to construct differentially 4-uniform involutions by using Carlitz form. With this approach, we explicitly construct two new classes of differentially 4-uniform involutions over F2n with 4

n. We also show that our constructions have high nonlinearity and optimal algebraic degree. With the help of computer, we show that our constructions are CCZ-inequivalent to the known differentially 4-uniform involutions over F28. © 2021 Elsevier Inc.
DOI
10.1016/j.ffa.2021.101957
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