Translation planes of order 27

DOI10.1007/BF01578865zbMath0798.51003MaRDI QIDQ1321561

Ulrich Dempwolff

Publication date: 31 October 1994

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

zbMATH Keywords

translation planespread

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Software, source code, etc. for problems pertaining to geometry (51-04) Translation planes and spreads in linear incidence geometry (51A40) Software, source code, etc. for problems pertaining to combinatorics (05-04)

Related Items (16)

The translation planes of order 49 ⋮ Two-graphs and skew two-graphs in finite geometries ⋮ A new family of linear maximum rank distance codes ⋮ Constructions and bounds for mixed-dimension subspace codes ⋮ On translation planes of order \(q^ 3\) that admit a collineation group of order \(q^ 3\) ⋮ Symplectic groups, symplectic spreads, codes, and unimodular lattices ⋮ Problems on structure of finite quasifields and projective translation planes ⋮ A geometric construction of finite semifields ⋮ The eight dimensional ovoids over GF(5) ⋮ Linear groups as right multiplication groups of quasifields ⋮ The translation planes of order 49 and their automorphism groups ⋮ Classification of ternary extremal self-dual codes of length 28 ⋮ A classification of transitive ovoids, spreads, and m-systems of polar spaces ⋮ Binary additive MRD codes with minimum distance \(n-1\) must contain a semifield spread set ⋮ Transitive deficiency-one Baer subgeometry partitions ⋮ Dual codes of translation planes

Cites Work

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• The classification of the translation planes of order 16. I
• The collineation groups of the translation planes of order 25
• A new class of translation planes of order \(q^ 3\)
• The uniqueness of Hering's translation plane of order 27
• The classification of the translation planes of order 16. II
• A characterization of the generalized twisted field planes
• The translation planes of order twenty-five
• Maximal partial spreads and transversal-free translation nets
• On the Sherk plane
• On translation planes of order \(q^ 3\) that admit a collineation group of order \(q^ 3\). II
• On quasifields
• Spreads, Translation Planes and Kerdock Sets. I
• A New Flag Transitive Affine Plane of Order 27

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