Naslov
Switching for 2-designs

Autori
Švob, Andrea ; Crnković, Dean

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Abstract Booklet, 29th British Combinatorial Conference / - Lancaster, 2022, 27-27

Skup
29th British Combinatorial Conference (BCC 2022)

Mjesto i datum
Lancaster, Ujedinjeno Kraljevstvo, 11.07.2022. - 15.07.2022

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
symmetric design ; automorphism group

Sažetak
In this talk, we introduce a switching for 2-design. We illustrate the method by applying it to some symmetric (64, 28, 12) designs. Further, we show that this type of switching can be applied to any symmetric design related to a Bush-type Hadamard matrix. We apply the switching to the designs and construct symmetric (36, 15, 6) designs leading to new Bush-type Hadamard matrices of order 36, and symmetric (100, 45, 20) designs yielding Bush-type Hadamard matrices of order 100. We show that switching introduced in this talk can be applied directly to orbit matrices.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA