New PcN and APcN functions over finite fields

Functions with low c -differential uniformity were proposed in 2020 and attracted lots of attention, especially the P c N and AP c N functions, due to their applications in cryptography. The objective of this paper is to study P c N and AP c N functions. As a consequence, we propose two classes of P...

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Bibliographic Details
Published inDesigns, codes, and cryptography Vol. 89; no. 11; pp. 2637 - 2651
Main Authors Wu, Yanan, Li, Nian, Zeng, Xiangyong
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2021
Springer Nature B.V
Subjects
Coding and Information Theory
Computer Science
Cryptography
Cryptology
Discrete Mathematics in Computer Science
Fields (mathematics)
AGW criterion
differential uniformity
Primary 11T06
Almost perfect
94A60
nonlinear
Perfect
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Summary:Functions with low c -differential uniformity were proposed in 2020 and attracted lots of attention, especially the P c N and AP c N functions, due to their applications in cryptography. The objective of this paper is to study P c N and AP c N functions. As a consequence, we propose two classes of P c N functions and three classes of AP c N functions by using the cyclotomic technique and the switching method. In addition, four classes of P c N or AP c N functions are presented by virtue of the (generalized) AGW criterion.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-021-00946-9