Disjoint maximal arcs in projective planes of order 16
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Yildiz Technical Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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 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.
Açıklama
Anahtar Kelimeler
Disjoint Maximal ARC, Linear Code, Projective Plane
Kaynak
Sigma Journal of Engineering and Natural Sciences-Sigma Muhendislik Ve Fen Bilimleri Dergisi
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
42
Sayı
1
