Monomial generalized almost perfect nonlinear functions

2017/08/02 by Masamichi Kuroda, Kuroda, Masamichi
Computer Science · Engineering · Mathematics · #94A60 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems #math.CO #msc:94A60

paper · pdf · doi:10.48550/arxiv.1708.00686

arxiv created 2017/08/02 · openalex publication_date 2017/08/02 · arxiv updated 2017/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Generalized almost perfect nonlinear (GAPN) functions were defined to satisfy some generalizations of basic properties of almost perfect nonlinear (APN) functions for even characteristic. In this paper, we study monomial GAPN functions for odd characteristic. In particular, we give all monomial GAPN functions whose algebraic degree are maximum or minimum on a finite field of odd characteristic.

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