On transitive parallelisms of \(\mathrm{PG}(3,4)\)

DOI10.1007/s00200-013-0194-zzbMath1280.51005OpenAlexW27578367MaRDI QIDQ371236

Svetlana Topalova, Stela Zhelezova

Publication date: 30 September 2013

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-013-0194-z

zbMATH Keywords

parallelismautomorphismstransitivityspread\(\mathrm{PG}(3,4)\)\texttt{GAP}no transitive parallelisms

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Spreads and packing problems in finite geometry (51E23)

Related Items (7)

Isomorphism and Invariants of Parallelisms of Projective Spaces ⋮ Types of spreads and duality of the parallelisms of \(\mathrm{PG}(3,5)\) with automorphisms of order 13 ⋮ New parallelisms of \(\mathrm{PG}(3, 4)\) ⋮ New Regular Parallelisms of PG(3, 5) ⋮ On point-transitive and transitive deficiency one parallelisms of \(\mathrm{PG}(3,4)\) ⋮ Parallelisms of \(\mathrm{PG}(3,4)\) invariant under an elementary abelian group of order 4 ⋮ Backtrack search for parallelisms of projective spaces

Uses Software

• GAP

Cites Work

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• 2-spreads and transitive and orthogonal 2-parallelisms of \(PG(5, 2)\)
• Classification algorithms for codes and designs
• The doubly transitive \(t\)-parallelisms
• Orthogonal packings in PG(5,2)
• Partitioning the planes of \(AG_{2m}(2)\) into 2-designs
• The cyclic parallelism of PG(3,5)
• Regular packings of \(PG(3,q)\)
• Parallelisms of projective spaces
• On parallelisms in finite projective spaces
• On point-cyclic resolutions of the 2-(63, 7, 15) design associated with PG(5, 2)
• Codes and Designs Related to Lifted MRD Codes
• Combinatorial Designs
• The transitive t-parallelisms of a finite projective space
• Resolutions of PG(5, 2) with point-cyclic automorphism group
• Covering sets of spreads in \(PG(3,q)\)

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