More Low Differential Uniformity Permutations over F22k with k Odd
Joint Authors
Leng, Yue
Chen, Jinyang
Xie, Tao
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-27
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Permutations with low differential uniformity, high algebraic degree, and high nonlinearity over F22k can be used as the substitution boxes for many block ciphers.
In this paper, several classes of low differential uniformity permutations are constructed based on the method of choosing two permutations over F22k to get the desired permutations.
The resulted low differential uniformity permutations have high algebraic degrees and nonlinearities simultaneously, which provide more choices for the substitution boxes.
Moreover, some numerical examples are provided to show the efficacy of the theoretical results.
American Psychological Association (APA)
Leng, Yue& Chen, Jinyang& Xie, Tao. 2020. More Low Differential Uniformity Permutations over F22k with k Odd. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1197669
Modern Language Association (MLA)
Leng, Yue…[et al.]. More Low Differential Uniformity Permutations over F22k with k Odd. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1197669
American Medical Association (AMA)
Leng, Yue& Chen, Jinyang& Xie, Tao. More Low Differential Uniformity Permutations over F22k with k Odd. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1197669
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197669