Yazar "Gezek, Mustafa" için listeleme
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Maximal arcs in projective planes of order 16 and related designs
Gezek, Mustafa; Tonchev, Vladimir D.; Wagner, Tim (Walter De Gruyter Gmbh, 2019)The resolutions and maximal sets of compatible resolutions of all 2-(120,8,1) designs arising from maximal (120,8)-arcs, and the 2-(52, 4, 1) designs arising from previously known maximal (52, 4)-arcs, as well as some newly ... -
Maximal arcs, codes, and new links between projective planes of order 16
Gezek, Mustafa; Mathon, Rudi; Tonchev, Vladimir D. (Electronic Journal Of Combinatorics, 2020)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 codes. Upper and lower bounds on the 2-rank ... -
On partial geometries arising from maximal arcs
Gezek, Mustafa; Tonchev, Vladimir D. (Springer, 2022)The subject of this paper are partial geometries pg(s, t, ?) with parameters s=d(d?-1),t=d?(d-1),?=(d-1)(d?-1), d, d?? 2. In all known examples, q= dd? is a power of 2 and the partial geometry arises from a maximal arc of ... -
Pedal Sets of Unitals in Projective Planes of Order 16
Gezek, Mustafa (2022)In this article, we perform computer searches for pedal sets of all known unitals in the known planes of order 16. Special points of unitals having at least one special tangent are studied in detail. It is shown that unitals ... -
Unitals in projective planes of order 16
Stoichev, Stoicho Dimitrov; Gezek, Mustafa (Scientific Technical Research Council Turkey-Tubitak, 2021)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- (65, 5, 1) designs associated with ... -
Unitals in Projective Planes of Order 25
Stoichev, Stoicho D. D.; Gezek, Mustafa (Springer Basel Ag, 2023)In this paper, results of a non-exhaustive computer search for unitals in the known planes of order twenty-five are reported. The 2-(126, 6, 1) designs associated with newly found unitals are studied in detail. 938 ...