6 papers · 1 filter
A little more about bipartite biregular cages, block designs, and generalized polygons
Gabriela Araujo-Pardo, György Kiss, Tamás Szönyi
In this paper, we obtain new lower and upper bounds for the problem of bipartite biregular cages. Moreover, for girth , we give the exact parameters of the -bipartite b…
The extended coset leader weight enumerator of a twisted cubic code
Aart Blokhuis, Ruud Pellikaan, Tamás Szőnyi
The extended coset leader weight enumerator of the generalized Reed-Solomon code is computed. The computation is considered as a question in finite geometry.…
On the balanced upper chromatic number of finite projective planes
Zoltán L. Blázsik, Aart Blokhuis, Štefko Miklavič +2
In this paper, we study vertex colorings of hypergraphs in which all color class sizes differ by at most one (balanced colorings) and each hyperedge contains at least two vertices…
On the upper chromatic number and multiplte blocking sets of PG()
Zoltán L. Blázsik, Tamás Héger, Tamás Szőnyi
We investigate the upper chromatic number of the hypergraph formed by the points and the -dimensional subspaces of ; that is, the most number of colors that ca…
Stability of k mod p multisets and small weight codewords of the code generated by the lines of PG(2, q)
Tamás Szőnyi, Zsuzsa Weiner
In this paper, we prove a stability result on k mod p multisets of points in PG(2,q), q = p^h. The particular case k=0 is used to describe small weight codewords of the code genera…
Inherited conics in Hall planes
Aart Blokhuis, István Kovács, Gábor P. Nagy +1
The existence of ovals and hyperovals is an old question in the theory of non-Desarguesian planes. The aim of this paper is to describe when a conic of remains an a…