79 citations · 144 across the 10 of their papers we have counts for
11 papers
Update: Some new results on lower bounds on -arcs in for
Michael Braun
An -arc in is a set of points in such that each line in contains at most elements of and such that there is at least one line conta…
-Analogs of strongly regular graphs
Michael Braun, Dean Crnković, Maarten De Boeck +2
We introduce the notion of q-analogs of strongly regular graphs and give several examples of such structures. We prove a necessary condition on the parameters, show the connection…
New lower bounds on the size of (n,r)-arcs in PG(2,q)
Michael Braun
An (n,r)-arc in PG(2,q) is a set of n points such that each line contains at most r of the selected points. It is well-known that (n,r)-arcs in PG(2,q) correspond to projective lin…
On the automorphism group of a binary -analog of the Fano plane
Michael Braun, Michael Kiermaier, Anamari Nakić
The smallest set of admissible parameters of a -analog of a Steiner system is . The existence of such a Steiner system -- known as a binary -analog of the Fano pl…
Large sets of subspace designs
Michael Braun, Michael Kiermaier, Axel Kohnert +1
In this article, three types of joins are introduced for subspaces of a vector space. Decompositions of the Graßmannian into joins are discussed. This framework admits a generaliza…
-Analogs of -Wise Balanced Designs from Borel Subgroups
Michael Braun
A design, also called the -analog of a -wise balanced design, is a set of subspaces with dimensions contained in of the -dimensiona…