Naslov
Switching for 2-designs

Autori
Crnković, Dean ; Švob, Andrea

Izvornik
Designs, codes and cryptography (0925-1022) 90 (2022); 1585-1593

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
switching ; block design ; Hadamard matrix

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

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA