Pregled bibliografske jedinice broj: 1011892
Hadamard matrices and Z4-linear codes
Hadamard matrices and Z4-linear codes // 9th PhD Summer School in Discrete Mathematics
Rogla, Slovenija, 2019. str. 13-13 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1011892 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Hadamard matrices and Z4-linear codes
Autori
Mravić, Matteo ; Crnković, Dean ; Rukavina, Sanja
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
9th PhD Summer School in Discrete Mathematics
/ - , 2019, 13-13
Skup
9th PhD Summer School in Discrete Mathematics
Mjesto i datum
Rogla, Slovenija, 2019
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Binary linear code ; Z4-linear code ; extremal Z4-linear code ; self-dual code ; Hadamard matrix ; Skew-symmetric Hadamard matrix ; Hadamard design
Sažetak
A Z4-linear code of length n is a Z4 sub-module of Z4^n. In the Pless-Leon-Fields article "All Z4 codes of Type II and length 16 are known" a method for construction of self-dual Z4-linear codes is presented. The starting point of this construction is a doubly-even self orthogonal binary code. It is known that binary linear codes obtained from Hadamard 3 designs satisfy these conditions. In this talk I will present a method for obtaining binary codes from Hadamard 3-designs of length 4n starting from skew-symmetric Hadamard matrices of order n. Also I will present some Z4-linear codes that we obtained so far and some partial results. This is joint work with Dean Crnković and Sanja Rukavina.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
