Naslov
A construction of regular Hadamard matrices

Autori
Crnković, Dean ; Egan, Ronan

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

Izvornik
The Second Malta Conference in Graph Theory and Combinatorics / - , 2017, 47-47

Skup
The Second Malta Conference in Graph Theory and Combinatorics

Mjesto i datum
Qawra, Malta, 26.06.2017. - 30.06.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
regular Hadamard matrix ; Menon design

Sažetak
A Hadamard matrix is called regular if the row and column sums are constant. The existence of a regular Hadamard matrix is well known to be equivalent to the existence of a symmetric $(4m^{; ; 2}; ; , 2m^{; ; 2}; ; - m, m^2 - m)$ design, also known as a Menon design. It is conjectured that a regular Hadamard matrix of order $4m^2$ exists for every positive integer $m$. In this talk we give a method of constructing regular Hadamard matrices using conference graphs and Hadamard designs with skew incidence matrices.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA