5 citations · 7 across the 3 of their papers we have counts for
3 papers
math.CO2023
Invariants of Quadratic Forms and applications in Design Theory
Oliver W. Gnilke, Padraig O Cathain, Oktay Olmez +1
The study of regular incidence structures such as projective planes and symmetric block designs is a well established topic in discrete mathematics. Work of Bruck, Ryser and Chowla…
math.CO2015★ 2 cited
Links between orthogonal arrays, association schemes and partial geometric designs
Kathleen Nowak, Oktay Olmez, Sung Y. Song
In this paper, we show how certain three-class association schemes and orthogonal arrays give rise to partial geometric designs. We also investigate the connections between partial…
math.CO2010★ 5 cited
Construction of directed strongly regular graphs using finite incidence structures
O. Olmez, S. Y. Song
We use finite incident structures to construct new infinite families of directed strongly regular graphs with parameters \[(l(q-1)q^l,\ l(q-1)q^{l-1},\ (lq-l+1)q^{l-2},\ (l-1)(q-1)…