Pregled bibliografske jedinice broj: 978311
Hadamard difference sets and related combinatorial objects in groups of order 144
Hadamard difference sets and related combinatorial objects in groups of order 144 // Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 23 (2019), 538; 13-29 doi:10.21857/ypn4oc88w9 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 978311 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Hadamard difference sets and related combinatorial
objects in groups of order 144
Autori
Vučičić, Tanja
Izvornik
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti (1845-4100) 23
(2019), 538;
13-29
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Transitive incidence structure ; (partial) difference set ; strongly regular graph
Sažetak
In this paper we address an appealing and so far not completed combinatorial problem of difference set (DS) existence in groups of order 144. We apply our recently established method for DS construction which proves to be very efficient. The result is more than 5000 inequivalent (144, 66, 30) DSes obtained in 131 groups of order 144. The number of non- isomorphic symmetric designs rising from them is 1364. Using the obtained DSes as a source, new regular (144, 66, 30, 30) and (144, 65, 28, 30) partial difference sets are constructed, together with the corresponding strongly regular graphs. 43 non-isomorphic graphs of valency 66 are obtained and 78 of valency 65. The full automorphism groups of these graphs, as well as those of symmetric designs, are explored using the software package Magma.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
