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 …

A combinatorial characterization of resolvable Steiner 2-(v, k, 1) designs embeddable as
maximal arcs in a projective plane of order (vk)/(k-1)(vk)/(k-1) is proved, and a generalization …

In this study, we perform computer searches for unitals in planes of order 16. The number of
known nonisomorphic unitals in these planes is improved to be 261. Some data related to 2 …

For an incidence geometry G=(P, L, I) with a linear representation T 2∗(K), we apply WQH
switching to construct a non-geometric graph Γ′ cospectral with the line graph Γ of G. As an …

This paper provides the results of some computer searches for disjoint maximal (52, 4)-arcs
in the known planes of order 16. Thirty-seven new such sets are discovered: four in Johnson …

This dissertation tackles the challenging graph decomposition problem of finding solutions
to the uniform case of the Hamilton-Waterloo Problem (HWP). The HWP seeks …

This dissertation tackles the challenging graph decomposition problem of finding solutions
to the uniform case of the Hamilton-Waterloo Problem (HWP). The HWP seeks …

The subject of this paper are partial geometries pg (s, t, α) pg (s, t, α) with parameters s= d (d'-
1),\t= d'(d-1),\alpha=(d-1)(d'-1) s= d (d′-1), t= d′(d-1), α=(d-1)(d′-1), d, d'≥ 2 d, d′≥ 2 …

arXiv:2001.09004v2 [math.CO] 27 Jan 2020 New unitals in projective planes of order 16 Page
1 arXiv:2001.09004v2 [math.CO] 27 Jan 2020 New unitals in projective planes of order 16 …

New Combinatorial Structures in Projective Planes of Order 16 Page 1 New Combinatorial
Structures in Projective Planes of Order 16 Mustafa Gezek 1 Vladimir D. Tonchev 2 1Tekirdag …