Pregled bibliografske jedinice broj: 1080260
On some new extremal Type II Z4-codes of length 40
On some new extremal Type II Z4-codes of length 40 // Mathematical communications, 25 (2020), 2; 253-268 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1080260 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some new extremal Type II Z4-codes of length 40
Autori
Ban, Sara ; Rukavina, Sanja
Izvornik
Mathematical communications (1331-0623) 25
(2020), 2;
253-268
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Z4-code ; extremal Type II Z4-code ; 1-design
Sažetak
Using the building-up method and a modification of the doubling method we construct new extremal Type II Z4-codes of length 40. The constructed codes of type 4^k1 2^k2, for k1 ∈ {;8, 9, 10, 11, 12, 14, 15};, are the first examples of extremal Type II Z4-codes of given type and length 40 whose residue codes have minimum weight greater than or equal to 8. Further, we use minimum weight codewords for a construction of 1- designs, some of which are self-orthogonal.
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
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts