The translation planes of order 49
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Publication:1344526
DOI10.1007/BF01388504zbMath0819.51003OpenAlexW2095245134MaRDI QIDQ1344526
Gordon F. Royle, Rudolf A. Mathon
Publication date: 13 February 1995
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01388504
Computing methodologies and applications (68U99) Translation planes and spreads in linear incidence geometry (51A40)
Related Items (15)
Ovoids of the quadric Q\((2n,q)\) ⋮ On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces ⋮ Two-graphs and skew two-graphs in finite geometries ⋮ Constructions and bounds for mixed-dimension subspace codes ⋮ On the transposed Rao's flag-transitive plane of order 49 ⋮ Symplectic spreads in \(PG(3,q)\), inversive planes and projective planes ⋮ 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 ⋮ On ovoids of parabolic quadrics ⋮ On the smallest minimal blocking sets of \(Q(2n,q)\), for \(q\) an odd prime ⋮ A lower bound for the minimum weight of the dual 7-ary code of a projective plane of order 49 ⋮ Symplectic semifield planes and ℤ₄–linear codes ⋮ An orderly algorithm and some applications in finite geometry ⋮ Twisted quadrics and \(\alpha\)-flocks
Uses Software
Cites Work
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- A translation plane of order \(7^ 2\) with a very small translation complement
- The classification of the translation planes of order 16. I
- A translation plane of order 49 with non-solvable collineation group
- Some finite translation planes arising from \(A_ 6\)-invariant ovoids of the Klein quadric
- Some translation planes of order \(p^ 2\) and of extra-special type
- Some translation planes of order \(7^ 2\) which admit \(SL_ 2(9)\)
- Translationsebenen der Ordnung 49 mit Scherungen. (On translation planes of order 49 admitting shears.)
- The translation planes of order twenty-five
- Translationsebenen der Ordnung 49 mit einer Quaternionengruppe von Dehnungen. (Translation planes of order 49 with a quaternion group of homologies)
- Inversive geometry and some new translation planes. I
- Translation planes of order 27
- Two-graphs and skew two-graphs in finite geometries
- Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
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