Pregled bibliografske jedinice broj: 965035
A Note on Siamese Twin Designs Intersecting in a BIBD and a PBD
A Note on Siamese Twin Designs Intersecting in a BIBD and a PBD // Mathematics in Computer Science, 12 (2018), 4 SI; 389-395 doi:10.1007/s11786-018-0380-2 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 965035 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A Note on Siamese Twin Designs Intersecting in a
BIBD and a PBD
Autori
Crnković, Dean ; Egan, Ronan
Izvornik
Mathematics in Computer Science (1661-8270) 12
(2018), 4 SI;
389-395
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Menon design ; Hadamard matrix ; Automorphism group
Sažetak
Suppose there exists a Hadamard design with skew incidence matrix, and a conference graph with v vertices, where Under this assumption we prove that there exists a Siamese twin Menon design with parameters intersecting in a balanced incomplete block design and a pairwise balanced design PBD(These Menon designs lead to regular amicable Hadamard matrices of orders not previously constructed. Further we construct complex orthogonal designs of order 4m(2) and Butson Hadamard matrices BH(4m(2), 2k) for all k. Some results regarding automorphisms of the constructed Menon designs are proven.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (CoCoS) (Crnković, Dean, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Dean Crnković
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
