Gezek, Mustafa2024-10-292024-10-2920231303-5991https://doi.org/10.31801/cfsuasmas.1194816https://search.trdizin.gov.tr/tr/yayin/detay/1199620https://hdl.handle.net/20.500.11776/14644In this paper, results of a computer search for disjoint sets as-sociated with maximal arcs and unitals in projective planes of order 16, and disjoint sets associated with unitals in projective planes of orders 9 and 25 are reported. It is shown that the number of pairs of disjoint unitals in planes of order 9 is exactly four, and new pairs and triples of disjoint degree 4 maximal arcs are shown to exist in some of the planes of order 16. New bounds on the number of 104-sets of type (4,8) and 156-sets of type (8,12) are achieved. A combinatorial method for finding new maximal arcs, new unitals, and new v-sets of type (m, n) is introduced. All disjoint sets found in this study are explicitly listed.en10.31801/cfsuasmas.1194816info:eu-repo/semantics/openAccessDisjoint setmaximal arcunitalArticle723803814N/AWOS:001108742100012#BAŞV!