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Pregled bibliografske jedinice broj: 1223638

Type IV-II codes over Z4 constructed from generalized bent functions


Ban, Sara; Rukavina, Sanja
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

Profili:

Avatar Url Sanja Rukavina (autor)

Avatar Url Sara Ban (autor)

Poveznice na cjeloviti tekst rada:

ajc.maths.uq.edu.au

Citiraj ovu publikaciju:

Ban, Sara; Rukavina, Sanja
Type IV-II codes over Z4 constructed from generalized bent functions // Australasian journal of combinatorics, 84 (2022), 3; 341-356 (međunarodna recenzija, članak, znanstveni)
Ban, S. & Rukavina, S. (2022) Type IV-II codes over Z4 constructed from generalized bent functions. Australasian journal of combinatorics, 84 (3), 341-356.
@article{article, author = {Ban, Sara and Rukavina, Sanja}, year = {2022}, pages = {341-356}, keywords = {Z4-code, bent function}, journal = {Australasian journal of combinatorics}, volume = {84}, number = {3}, issn = {1034-4942}, title = {Type IV-II codes over Z4 constructed from generalized bent functions}, keyword = {Z4-code, bent function} }
@article{article, author = {Ban, Sara and Rukavina, Sanja}, year = {2022}, pages = {341-356}, keywords = {Z4-code, bent function}, journal = {Australasian journal of combinatorics}, volume = {84}, number = {3}, issn = {1034-4942}, title = {Type IV-II codes over Z4 constructed from generalized bent functions}, keyword = {Z4-code, bent function} }

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





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