Gezek, Mustafa2024-10-292024-10-2920241304-72051304-7191https://doi.org/10.14744/sigma.2024.00010https://hdl.handle.net/20.500.11776/14540This 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 plane and thirty-three in Mathon plane, eighteen of which give examples of 104 -sets of type (4,8) coming from non -isomorphic pairs of maximal (52, 4) -arcs, providing first examples for such sets. A new lower bound on the number of 104 -sets of type (4,8) coming from disjoint maximal (52, 4) -arcs in the known planes of order 16 is obtained. The 104 -length binary and ternary linear codes generated by the blocks of 1 -designs associated with the known 104 -sets of type (4,8) are classified.en10.14744/sigma.2024.00010info:eu-repo/semantics/openAccessDisjoint Maximal ARCLinear CodeProjective PlaneArticle4218288N/AWOS:0011715857000112-s2.0-85187274339N/A