A framework for constructing partial geometric difference sets

Davis J. A., Olmez O.

DESIGNS CODES AND CRYPTOGRAPHY, cilt.86, sa.6, ss.1367-1375, 2018 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 86 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s10623-017-0400-2
  • Dergi Adı: DESIGNS CODES AND CRYPTOGRAPHY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1367-1375
  • Anahtar Kelimeler: Difference sets, Partial geometric difference sets, Partial geometric designs, Building sets, Extended building sets
  • Ankara Üniversitesi Adresli: Evet

Özet

Partial geometric difference sets (PGDSs) were defined in Olmez (J Combin Des 22(6):252-269, 2014). They are used to construct partial geometric designs. We use the framework of extended building sets to find infinite families of PGDSs in abelian groups. Included in our new families of PGDSs are generalizations of the Hadamard, McFarland, Spence, Davis-Jedwab, and Chen difference sets.