The existence of maximal \((q^2,2)\)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic
type: Item
instance of: scholarly article
title: The existence of maximal \((q^2,2)\)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic
zbMATH Open document ID: 1264.05023
author: Thomas Honold
author: Michael Kiermaier
published in: Designs, Codes and Cryptography
publication date: 2013-05-30T00:00:00Z
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 51C05
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 51E21
Mathematics Subject Classification ID: 51E26
Mathematics Subject Classification ID: 16P10
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 94B27
zbMATH DE Number: 6168433
zbMATH Keywords: Hjelmslev geometry
zbMATH Keywords: projective Hjelmslev plane
zbMATH Keywords: arc
zbMATH Keywords: maximal finite chain ring
zbMATH Keywords: Galois ring
zbMATH Keywords: quadratic map
zbMATH Keywords: Dembowski-Ostrom polynomial
describes a project that uses: Magma
describes a project that uses: Code Tables
MaRDI profile type: Publication
full work available at URL: s10623-012-9653-y
OpenAlex ID: W1999055900
cites work: Finite rings of principal ideals
cites work: Hjelmslev-Ebenen mit verfeinerten Nachbarschaftsrelationen
cites work: Twisted tensor product codes
cites work: Q4822436
cites work: The Magma algebra system. I: The user language
cites work: The return of the Baer subplane
cites work: Finite chain rings
cites work: A metric for codes over residue class rings
cites work: Dual numbers, Witt vectors, and Hjelmslev planes
cites work: Q5545191
cites work: Planes of order \(n\) with collineation groups of order \(n^ 2\)
cites work: The automorphism groups of linear codes and canonical representatives of their semilinear isometry classes
cites work: Gray isometries for finite chain rings and a nonlinear ternary (36, 3/sup 12/, 15) code
cites work: Linearly representable codes over chain rings
cites work: On arcs in projective Hjelmslev planes
cites work: Linear codes over finite chain rings
cites work: On maximal arcs in projective Hjelmslev planes over chain rings of even characteristic
cites work: Linear Codes over Finite Chain Rings and Projective Hjelmslev Geometries
cites work: Q3464679
cites work: Weighted modules and representations of codes
cites work: Q3982818
cites work: A \(\mathbb Z_{4}\)-linear code of high minimum Lee distance derived from a hyperoval
cites work: 2-arcs of maximal size in the affine and the projective Hjelmslev plane over \(\mathbb Z_{25}\)
cites work: Projektive und affine Ebenen mit Nachbarelementen
cites work: Q3558615
cites work: A system of axioms for projective Hjelmslev spaces
cites work: Arcs in projective Hjelmslev planes
cites work: Affine Hjelmslev-Ebenen mit transitiver Translationsgruppe
cites work: Q4146667
cites work: Q4046212
cites work: FINITE PRINCIPAL IDEAL RINGS
cites work: Finite Rings with Applications
cites work: Q5570258
DOI: 10.1007/S10623-012-9653-Y
description: scientific article; zbMATH DE number 6168433