Transitive \(\mathrm{PSL}(2,11)\)-invariant \(k\)-arcs in \(\mathrm{PG}(4,q)\)

DOI10.1007/S10623-018-0588-9zbMath1417.51007arXiv1804.09707OpenAlexW2963608183WikidataQ128869167 ScholiaQ128869167MaRDI QIDQ1999905

Torger Olson, Eric Swartz

Publication date: 27 June 2019

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09707

zbMATH Keywords

\(\mathrm{PSL}(211)\)

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Combinatorial structures in finite projective spaces (51E20)

Related Items (1)

Transitive \(\mathrm{PSL}(2,11)\)-invariant \(k\)-arcs in \(\mathrm{PG}(4,q)\)

Uses Software

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• FinInG
• ATLAS Group Representations

Cites Work

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• Geometrical contributions to secret sharing theory
• Transitive \(A_6\)-invariant \(k\)-arcs in \(\mathrm{PG}(2,q)\)
• Transitive \(\mathrm{PSL}(2,11)\)-invariant \(k\)-arcs in \(\mathrm{PG}(4,q)\)
• Transitive \(\mathrm{PSL}(2,7)\)-invariant 42-arcs in 3-dimensional projective spaces
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• On Small Complete Arcs and Transitive A5-Invariant Arcs in the Projective Plane PG(2,q)
• On the Covering Radius of MDS Codes
• A large automorphism group decreases the number of computations in the construction of an optimal encoder/decoder pair for linear block code

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