Naslov
Binary Codes from Skew-symmetric Hadamard Matrices

Autori
Mravić, Matteo ; Crnković, Dean ; Rukavina, Sanja

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

Izvornik
8th PhD Summer School in Discrete Mathematics / - , 2018, 13-13

Skup
8th PhD Summer School in Discrete Mathematics

Mjesto i datum
Rogla, Slovenija, 01.07.2018. - 07.07.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Skew-symmetric Hadamard matrix, Hadamard design

Sažetak
A Hadamard matrix of order m is a square matrix with entries 1 and -1 such that HHT = m I_m . A Hadamard matrix H of order m is skew- symmetric if H = A + I_m , where A^T = −A. Each Hadamard matrix corresponds to a 2−(m − 1, m/2− 1, m/4− 1) design, called a Hadamard design, and vice versa. A Hadamard 3−design is design with parameters 3 −(m, m/2, m/4− 1) which can be obtained from a Hadamard design and conversely. By its incidence matrix we obtain binary codes of length m. We present a method for obtaining skew-symmetric Hadamard matrices of dimension 4m from skew- symmetric Hadamard matrices of order m. We will consider the case m = 8 and discuss obtained binary codes. This is joint work with Dean Crnkovic and Sanja Rukavin

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA