Mustafa Gezek

most citedMaximal arcs, codes, and new links between projective planes

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.CO2020

On partial geometries arising from maximal arcs

Mustafa Gezek, Vladimir D. Tonchev

The subject of this paper are partial geometries $p g (s, t, α)$ with parameters $s = d (d^{'} - 1), t = d^{'} (d - 1), α = (d - 1) (d^{'} - 1)$ , $d, d^{'} \geq 2$ . In all known examples, $q = d d^{'}$ is a power of…

math.CO2020

New unitals in projective planes of order 16

Mustafa Gezek

In this study we performed a computer search for unitals in planes of order 16. Some new unitals were found and we show that some unitals can be embedded in two or more different p…

math.CO2020★ 1 cited

Maximal arcs, codes, and new links between projective planes

Mustafa Gezek, Rudi Mathon, Vladimir D. Tonchev

In this paper we consider binary linear codes spanned by incidence matrices of Steiner 2-designs associated with maximal arcs in projective planes of even order, and their dual cod…