Several classes of PcN power functions over finite fields

Author:

Wang Xiaoqiang,Zheng Dabin,Hu Lei

Funder

Ministry of Science and Technology of the People's Republic of China

National Key Research and Development Program of China

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference26 articles.

1. On construction and (non)existence of c-(almost) perfect nonlinear functions;Bartoli;Finite Fields Appl.,2021

2. On a generalization of planar functions;Bartoli;J. Algebraic Combin.,2020

3. Differential cryptanalysis of DES-like cryptosystems;Biham;J. Cryptol.,1991

4. Differential properties of power functions;Blondeau;Int. J. Inf. Coding Theory,2010

5. On xq+1+ax+b;Bluher;Finite Fileds Appl.,2004

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1. On a class of APN power functions over odd characteristic finite fields: Their differential spectrum and c-differential properties;Discrete Mathematics;2024-04

2. Some Classes of Cryptographic Power Functions and Permutation Polynomials with Low (-1)-Differential Uniformity in Cyber Security;2023 IEEE Intl Conf on Dependable, Autonomic and Secure Computing, Intl Conf on Pervasive Intelligence and Computing, Intl Conf on Cloud and Big Data Computing, Intl Conf on Cyber Science and Technology Congress (DASC/PiCom/CBDCom/CyberSciTech);2023-11-14

3. Further results on the $$(-1)$$-differential uniformity of some functions over finite fields with odd characteristic;Applicable Algebra in Engineering, Communication and Computing;2023-10-21

4. P℘N functions, complete mappings and quasigroup difference sets;Journal of Combinatorial Designs;2023-08-23

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