On the Planarity of Certain Dembowski-Ostrom Polynomials
Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, cilt.17, sa.2, ss.261-269, 2022 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 2
- Basım Tarihi: 2022
- Doi Numarası: 10.29233/sdufeffd.1053097
- Dergi Adı: Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi
- Derginin Tarandığı İndeksler: Academic Search Premier, CAB Abstracts, Veterinary Science Database, zbMATH, Directory of Open Access Journals, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.261-269
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
Planar mappings, defined by Dembowski and Ostrom, are identified as a means to construct projective planes. Then, many important applications of planar mappings appear in different fields such as cryptography and coding theory. In this paper, we provide sufficient and necessary conditions for the planarity of certain Dembowski-Ostrom polynomials over the finite field extension of degree three with odd characteristic. In particular, we completely determine the coefficients of the given Dembowski-Ostrom polynomials to be planar.