On self-orthogonal designs and codes related to Held's simple group
type: Item
instance of: scholarly article
title: On self-orthogonal designs and codes related to Held's simple group
zbMATH Open document ID: 1396.05121
author: Dean Crnković
author: Vedrana Mikulić Crnković
author: B. G. Rodrigues
published in: Advances in Mathematics of Communications
publication date: 2018-09-27T00:00:00Z
Mathematics Subject Classification ID: 05E18
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05E30
zbMATH DE Number: 6945006
zbMATH Keywords: design
zbMATH Keywords: orbit matrix
zbMATH Keywords: linear code
zbMATH Keywords: sporadic simple group
zbMATH Keywords: Held group
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: amc.2018036
OpenAlex ID: W2886830976
cites work: Q4004114
cites work: Strongly regular graphs with non-trivial automorphisms
cites work: Graphs related to Held's simple group
cites work: The Magma algebra system. I: The user language
cites work: Q3424736
cites work: On the \(p\)-rank of the adjacency matrices of strongly regular graphs
cites work: The maximal subgroups of the sporadic simple group of Held
cites work: Q3684278
cites work: Q3190833
cites work: Self-orthogonal codes from orbit matrices of 2-designs
cites work: A design and a code invariant under the simple group \(Co_ 3\)
cites work: Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms
cites work: The simple groups related to \(M_{24}\)
cites work: The simple groups related to M24, II
cites work: A presentation and a representation of the Held group
cites work: The Minimal Degrees of Faithful Representations of the Sporadic Simple Groups and their Covering Groups
cites work: Q4532746
cites work: Some irreducible codes invariant under the Janko group, \(J_1\) or \(J_2\)
cites work: Q4460550
cites work: Some designs and codes invariant under the simple group Co\(_{2}\)
cites work: Some designs and binary codes preserved by the simple group \(\mathrm{Ru}\) of Rudvalis
cites work: Linear codes and doubly transitive symmetric designs
cites work: Q4331782
cites work: The primitive permutation groups of degree less than 2500.
cites work: Self-orthogonal designs and extremal doubly even codes
cites work: Maximal Subgroups of Automorphism Groups of Simple Groups
cites work: The Finite Simple Groups
DOI: 10.3934/AMC.2018036
description: scientific article; zbMATH DE number 6945006