A generalization of APN functions for odd characteristic

Autor:	Shuhei Tsujie, Masamichi Kuroda
Rok vydání:	2017
Předmět:	APN function Pure mathematics Generalization Cryptography 0102 computer and information sciences 02 engineering and technology 01 natural sciences Algebraic degree Theoretical Computer Science Computer Science::Discrete Mathematics Dual arc FOS: Mathematics 0202 electrical engineering electronic engineering information engineering Mathematics - Combinatorics EA-equivalent Computer Science::Cryptography and Security Mathematics Algebra and Number Theory business.industry Applied Mathematics General Engineering Finite field 020206 networking & telecommunications Function (mathematics) Gold function Nonlinear system 010201 computation theory & mathematics 94A60 05B25 Combinatorics (math.CO) business
Zdroj:	Finite Fields and Their Applications. 47:64-84
ISSN:	1071-5797
DOI:	10.1016/j.ffa.2017.05.001
Popis:	Almost perfect nonlinear (APN) functions on finite fields of characteristic two have been studied by many researchers. Such functions have useful properties and applications in cryptography, finite geometries and so on. However, APN functions on finite fields of odd characteristic do not satisfy desired properties. In this paper, we modify the definition of APN function in the case of odd characteristic, and study its properties. (C) 2017 Elsevier Inc. All rights reserved.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb79ef24834a13d43762332a97401fde https://doi.org/10.1016/j.ffa.2017.05.001 Zobrazit plný text záznamu Full Text from ScienceDirect