On perfect nonlinear functions \((\Pi)\)
type: Item
instance of: scholarly article
title: On perfect nonlinear functions \((\Pi)\)
zbMATH Open document ID: 1145.05011
author: Xiyong Zhang
author: Hua Guo
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 2008-08-21T00:00:00Z
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 94A60
zbMATH DE Number: 5314963
zbMATH Keywords: perfect nonlinear function
zbMATH Keywords: relative difference set
zbMATH Keywords: Galois ring
zbMATH Keywords: relative trace
zbMATH Keywords: cryptography
MaRDI profile type: Publication
full work available at URL: s00200-008-0065-1
OpenAlex ID: W2082868703
cites work: Proof of the prime power conjecture for projective planes of order \(n\) with abelian collineation groups of order \(n^2\)
cites work: Q2712103
cites work: Linear Codes From Perfect Nonlinear Mappings and Their Secret Sharing Schemes
cites work: Constructions of partial difference sets and relative difference sets using Galois rings. II
cites work: A family of skew Hadamard difference sets
cites work: Progress in Cryptology - INDOCRYPT 2003
cites work: New partial difference sets in \(\mathbb{Z}_{p^2}^t\) and a related problem about Galois rings
cites work: Polynomial addition sets and polynomial digraphs
cites work: Q3470472
cites work: Perfect nonlinear S-boxes
cites work: Q4878688
cites work: Nonlinear functions in abelian groups and relative difference sets.
cites work: Character sums and difference sets
cites work: On the weight hierarchy of Kerdock codes over Z/sub 4/
cites work: On perfect nonlinear functions
DOI: 10.1007/S00200-008-0065-1
description: scientific article; zbMATH DE number 5314963