Pregled bibliografske jedinice broj: 986291
LDPC Codes from μ-Geodetic Graphs Obtained from Block Designs
LDPC Codes from μ-Geodetic Graphs Obtained from Block Designs // Graphs and combinatorics, 35 (2019), 2; 451-469 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 986291 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
LDPC Codes from μ-Geodetic Graphs Obtained from
Block Designs
Autori
Crnković, Dean ; Rukavina, Sanja ; Šimac, Marina
Izvornik
Graphs and combinatorics (0911-0119) 35
(2019), 2;
451-469
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
LDPC code ; μ-Geodetic graph ; Block design
Sažetak
In this paper we study low-density parity-check (LDPC) codes spanned by rows of the adjacency matrices of μ-geodetic graphs obtained from 2- (v, k, λ) designs. This construction can be applied to any 2-(v, k, λ) design, but in this paper we focus on the LDPC codes from μ- geodetic graphs obtained from 2-(v, 3, λ) designs since their Tanner graphs are free of 4-cycles. We analyse some properties of the constructed LDPC codes and discuss code length, dimension and minimum distance. Further, we discuss absorbing sets of these LDPC codes and give an expression for the expectation of a syndrome weight of the constructed LDPC codes. Information on the constructed LDPC codes, such as their parameters, is presented as well.
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:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
