Journal ArticleDOI
A non-symmetric translation plane of order 172
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This article is published in Journal of Geometry.The article was published on 1990-04-01. It has received 7 citations till now. The article focuses on the topics: Translation plane & Vertical translation.read more
Citations
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Journal ArticleDOI
Symplectic semifield planes and ℤ₄–linear codes
TL;DR: In this article, it was shown that the full collineation group fixes the line at infinity pointwise, as well as large numbers of Kerdock codes boring in the sense that each has as small an automorphism group as possible.
Book ChapterDOI
Chapter 5 – Translation Planes
TL;DR: A translation plane is an affine plane II whose translation group T (II) is (sharply) transitive on the affine points as discussed by the authors, and every coordinatizing ternary ring of a translation plane (with respect to the line l∞ ) is quasified.
Journal ArticleDOI
Projective Planes of Order q whose Collineation Groups have Order q 2
TL;DR: In this article, translation planes of order q are constructed whose full collineation groups have order q 2 2 and order q q 2.1 2, where q is the number of collineations in a translation plane.
Journal ArticleDOI
The derivation of dual translation planes
TL;DR: In this article, a finite affine plane that permits derivation and a derivable net embedded in it is considered and the main question with regard to the collineation group of is whether the full group of the derived plane is the inherited group.
Proceedings ArticleDOI
Orthogonal Spreads and Translation Planes
TL;DR: There have been a number of striking new results concerning translation planes of characteristic 2, obtained using orthogonal and symplectic spreads as mentioned in this paper, and the impetus for this came from coding theory.
References
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Journal ArticleDOI
New families of ovoids in O+8
TL;DR: In this article, the authors constructed four new infinite families of ovoids in the 8-dimensional orthogonal geometry and determined the automorphism groups of these ovoids and showed that the two "sporadic" ovoids recently found by Cooperstein and Shult are members of these families.
Journal ArticleDOI
The derivation of dual translation planes
TL;DR: In this article, a finite affine plane that permits derivation and a derivable net embedded in it is considered and the main question with regard to the collineation group of is whether the full group of the derived plane is the inherited group.