The complete differential spectrum of a class of power permutations over odd characteristic finite fields

H Yan, S Mesnager, X Tan - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
Permutation polynomials over finite fields are fundamental objects as they are used in
various theoretical and practical applications in cryptography, coding theory, combinatorial …

Differential spectrum of a class of APN power functions

X Tan, H Yan - Designs, Codes and Cryptography, 2023 - Springer
APN power functions are fundamental objects as they are used in various theoretical and
practical applications in cryptography, coding theory, combinatorial design, and related …

Low c-differential uniformity of the swapped inverse function in odd characteristic

J Jeong, N Koo, S Kwon - Discrete Applied Mathematics, 2023 - Elsevier
The study of Boolean functions with low c-differential uniformity has become recently an
important topic of research. However, in odd characteristic case, there are not many results …

Two low differentially uniform power permutations over odd characteristic finite fields: APN and differentially -uniform functions

H Yan, S Mesnager, X Tan - arXiv preprint arXiv:2210.09822, 2022 - arxiv.org
Permutation polynomials over finite fields are fundamental objects as they are used in
various theoretical and practical applications in cryptography, coding theory, combinatorial …

Further results on the -differential uniformity of some functions over finite fields with odd characteristic

Q Liu, X Liu, M Chen, J Zou, Z Huang - Applicable Algebra in Engineering …, 2023 - Springer
Functions with low differential uniformity have wide applications in cryptography. In this
paper, by using the quadratic character of F pn∗, we further investigate the (-1)-differential …

一类低差分均匀度幂函数的差分谱.

夏永波, 包福荣, 彭丽娜 - Journal of South-Central Minzu …, 2024 - search.ebscohost.com
一类低差分均匀度幂函数的差分谱 Page 1 第43 卷第1 期 2024年1 月 Vol.43 No.1 Jan. 2024
中南民族大学学报(自然科学版) Journal of South-Central Minzu University(Natural Science …