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Finite Projective Planes and the Delsarte LP-Bound
We apply an improvement of the Delsarte LP-bound to give a new proof of the non-existence of finite projective planes of order 6, and uniqueness of...
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All-involution table algebras and finite projective spaces
Table algebras all of whose nonidentity basis elements are involutions (in the sense of Zieschang), which serve as a counterpoint to the generic...
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CD-independent subsets in meet-distributive lattices
A subset X of a finite lattice L is CD-independent if the meet of any two incomparable elements of X equals 0. In 2009, Czédli, Hartmann and Schmidt...
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Fano subplanes in finite Figueroa planes
It has been conjectured that all non-desarguesian projective planes contain a Fano subplane. The Figueroa planes are a family of non-translation...
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Aldo Cossu’s Work in Finite Geometry
A survey of the contributions of Aldo Cossu in finite geometry is given.
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On the intersection of Hermitian surfaces
We provide a description of the configuration arising from intersection of two Hermitian surfaces in PG(3, q ), provided that the linear system they...
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Embedding Finite Lattices into Finite Biatomic Lattices
For a class C of finite lattices, the question arises whether any lattice in C can be embedded into some atomistic, biatomic lattice in C . We provide...
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Small Complete Arcs in Projective Planes
In the late 1950’s, B. Segre introduced the fundamental notion of arcs and complete arcs [48,49]. An arc in a finite projective plane is a set of...
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Some Codes Determined by Their Weight Enumerators
Knowing the weight enumerator of a linear code allows us to have much information about the code; its dimension, length, minimum distance, the sum of...
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On infinite K-clan geometry
We discuss infinite elation generalized quadrangles as group coset geometries and use this approach to deal with the special case of those associated...
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Projective Equivalence of Δ-Matroids with Coefficients and Symplectic Geometries
The projective equivalence of matroid representations over fields and of oriented matroids is well studied. This paper is devoted to the study of...
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Flocks and ovals
An infinite family of q -clans, called the Subiaco q -clans, is constructed for q =2 e . Associated with these q -clans are flocks of quadratic cones,...
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On the generalized twisted field planes of characteristic 2
Let π be a non-Desarguesian semifield plane of order 2 n ≠ 2 6 , and let G be the autotopism group relative to an autotopism triangle Δ. We prove that if
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Extremal Hypergraphs and Combinatorial Geometry
Here we overview some of the methods and results of extremal graph and hypergraph theory. A few geometric applications are also given.
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