Pregled bibliografske jedinice broj: 1120154
S-PD-sets for codes from projective planes PG(2,2^h), 5≤h≤9
s-PD-sets for codes from projective planes PG(2,2^h), 5≤h≤9 // Advances in mathematics of communications, 15 (2021), 3; 423-440 doi:10.3934/amc.2020075 (međunarodna recenzija, članak, znanstveni)
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Naslov
S-PD-sets for codes from projective planes PG(2,2^h), 5≤h≤9
Autori
Crnković, Dean ; Mostarac, Nina ; Rodrigues, Bernardo G. ; Storme, Leo
Izvornik
Advances in mathematics of communications (1930-5346) 15
(2021), 3;
423-440
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Desarguesian projective plane ; code ; PD-set ; s-PD-set ; permutation decoding
Sažetak
In this paper we construct 2-PD-sets of 16 elements for codes from the Desarguesian projective planes PG(2, q), where $q=2^h$ and $5\leq h \leq 9$. We also construct 3-PD-sets of 75 elements for the code from the Desarguesian projective plane PG(2, q), where $q=2^9$. These 2-PD-sets and 3-PD-sets can be used for partial permutation decoding of codes obtained from the Desarguesian projective planes.
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:
- Current Contents Connect (CCC)
- 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
