5 citations · 8 across the 7 of their papers we have counts for
8 papers
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…
On the norms of r-circulant matrices with generalized bi-periodic Fibonacci numbers
Mehmet Dagli, Elif Tan, Oktay Olmez
In this paper, we give upper and lower bounds for the spectral norms of r-circulant matrices with the generalized bi-periodic Fibonacci numbers. Moreover, we investigate the eigenv…
Bounds on Binary Locally Repairable Codes Tolerating Multiple Erasures
Matthias Grezet, Ragnar Freij-Hollanti, Thomas Westerbäck +2
Recently, locally repairable codes has gained significant interest for their potential applications in distributed storage systems. However, most constructions in existence are ove…
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…
Construction of Directed Strongly Regular Graphs Using Block Matrices
Francis Adams, Alexandra Gendreau, Oktay Olmez +1
The concept of directed strongly regular graphs was introduced by Duval in his paper, A Directed Graph Version of Strongly Regular Graphs. Duval also provided several construction…
Almost Difference Sets, Normally Regular Digraphs and Cyclotomic Schemes from Cyclotomy of Order Twelve
Kathleen Nowak, Oktay Olmez, Sung Y. Song
Using cyclotomic classes of order twelve for certain finite fields, we construct an infinite family of almost difference sets and normally regular graphs applying the theory of cyc…
Some families of directed strongly regular graphs obtained from certain finite incidence structures
Oktay Olmez, Sung Y. Song
This is the second report of our work on the construction of directed strongly regular graphs. In our previous work, we constructed a couple of infinite families of new directed st…
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)…