An Existing Problem for Symmetric Design: Bruck Ryser Chowla Theorem

DEMİRCİ AKARSU E., Öztürk S.

Sakarya University Journal of Science, cilt.26, sa.2, ss.241-248, 2022 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.16984/saufenbilder.962817
  • Dergi Adı: Sakarya University Journal of Science
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, Business Source Elite, Business Source Premier, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.241-248
  • Anahtar Kelimeler: Bruck Ryser Chowla Theorem, difference sets, Symmetric design
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

Symetric designs are interesting objects of combinatorics, and have some relations with coding theory, difference sets, geometry and finite group theory. They have applications on statistics and design experiments. In the present paper we study an existing problem for symmetric design due to Bruck, Ryser and Chowla and write an algorithm by using their theorem called BRC Theorem.