Pregled bibliografske jedinice broj: 1223638
Type IV-II codes over Z4 constructed from generalized bent functions
Type IV-II codes over Z4 constructed from generalized bent functions // Australasian journal of combinatorics, 84 (2022), 3; 341-356 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1223638 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Type IV-II codes over Z4 constructed from
generalized bent functions
Autori
Ban, Sara ; Rukavina, Sanja
Izvornik
Australasian journal of combinatorics (1034-4942) 84
(2022), 3;
341-356
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Z4-code ; bent function
Sažetak
A Type IV-II Z4-code is a self-dual code over Z4 with the property that all Euclidean weights are divisible by eight and all codewords have even Hamming weight. In this paper we use generalized bent functions for a construction of self-orthogonal codes over Z4 of length 2m, for m odd, m ≥ 3, and prove that for m ≥ 5 those codes can be extended to Type IV-II Z4-codes. From this family of Type IV-II Z4-codes, we construct a family of self-dual Type II binary codes by using the Gray map. We also consider the weight distributions of the obtained codes and the structure of the supports of the minimum weight codewords.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-45 - Dizajni, grafovi i linearni kodovi (Rukavina, Sanja, NadSve - UNIRI PROJEKTI 2018) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts