Pregled bibliografske jedinice broj: 1137968
A construction of Z4-codes from generalized bent functions
A construction of Z4-codes from generalized bent functions // The book of abstracts, Combinatorial Designs and Codes
Rijeka, Hrvatska, 2021. str. 19-19 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1137968 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A construction of Z4-codes from generalized bent
functions
Autori
Ban, Sara ; Rukavina, Sanja
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
The book of abstracts, Combinatorial Designs and Codes
/ - , 2021, 19-19
Skup
Combinatorial Designs and Codes, Satellite event of the 8th European Congress of Mathematics
Mjesto i datum
Rijeka, Hrvatska, 11.07.2021. - 16.07.2021
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
generalized bent function, Z4-code, self-dual code
Sažetak
The subject of this talk is a construction of Type IV-II codes over Z4 from generalized bent functions. We use generalized bent functions for a construction of self-orthogonal codes over Z4 of length 2^m, for m odd, m ≥ 3, and prove that for m ≥ 5 those codes can be extended to Type IV-II Z4-codes. From that family of Type IV-II Z4-codes, we construct a family of self-dual Type II binary codes by using the Gray map. We consider the weight distributions of the obtained codes.
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
