Naslov
A construction of regular Hadamard matrices and related codes

Autori
Crnković, Dean

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

Izvornik
5th Workshop on Real and Complex Hadamard Matrices and Applications / - , 2017, 14-14

Skup
5th Workshop on Real and Complex Hadamard Matrices and Applications

Mjesto i datum
Budimpešta, Mađarska, 10.07.2017. - 14.07.2017

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
regular Hadamard matrix, linear code

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. We'll also discuss codes related to these Hadamard matrices, and block designs constructed from the codes.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA