Pregled bibliografske jedinice broj: 1136914
S-PD-sets for codes from projective planes PG(2, 2^h), where 5<=h<=9
s-PD-sets for codes from projective planes PG(2, 2^h), where 5
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Naslov
S-PD-sets for codes from projective planes PG(2,
2^h), where 5<=h<=9
Autori
Mostarac, Nina ; Crnković, Dean ; Rodrigues, Bernardo ; Storme, Leo
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Graphs and Groups, Geometries and GAP (G2G2) Summer School - External Satellite Conference of 8ECM
/ - , 2021, 12-12
Skup
Graphs and Groups, Geometries and GAP (G2G2-Summer School)
Mjesto i datum
Rogla, Slovenija, 27.06.2021. - 03.07.2021
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Desarguesian projective plane ; code ; PD-set ; s-PD-set ; permutation decoding
Sažetak
In this talk we will describe a construction of 2-PD-sets of 16 elements for codes from the Desarguesian projective planes PG(2, q), where q = 2^h and 5 ≤ h ≤ 9. We will also describe a construction of 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
