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Pregled bibliografske jedinice broj: 986291

LDPC Codes from μ-Geodetic Graphs Obtained from Block Designs


Crnković, Dean; Rukavina, Sanja; Šimac, Marina
LDPC Codes from μ-Geodetic Graphs Obtained from Block Designs // Graphs and combinatorics, 35 (2019), 2; 451-469 (međunarodna recenzija, članak, znanstveni)


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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

Profili:

Avatar Url Marina Šimac (autor)

Avatar Url Sanja Rukavina (autor)

Avatar Url Dean Crnković (autor)

Citiraj ovu publikaciju:

Crnković, Dean; Rukavina, Sanja; Šimac, Marina
LDPC Codes from μ-Geodetic Graphs Obtained from Block Designs // Graphs and combinatorics, 35 (2019), 2; 451-469 (međunarodna recenzija, članak, znanstveni)
Crnković, D., Rukavina, S. & Šimac, M. (2019) LDPC Codes from μ-Geodetic Graphs Obtained from Block Designs. Graphs and combinatorics, 35 (2), 451-469.
@article{article, author = {Crnkovi\'{c}, Dean and Rukavina, Sanja and \v{S}imac, Marina}, year = {2019}, pages = {451-469}, keywords = {LDPC code, μ-Geodetic graph, Block design}, journal = {Graphs and combinatorics}, volume = {35}, number = {2}, issn = {0911-0119}, title = {LDPC Codes from μ-Geodetic Graphs Obtained from Block Designs}, keyword = {LDPC code, μ-Geodetic graph, Block design} }
@article{article, author = {Crnkovi\'{c}, Dean and Rukavina, Sanja and \v{S}imac, Marina}, year = {2019}, pages = {451-469}, keywords = {LDPC code, μ-Geodetic graph, Block design}, journal = {Graphs and combinatorics}, volume = {35}, number = {2}, issn = {0911-0119}, title = {LDPC Codes from μ-Geodetic Graphs Obtained from Block Designs}, keyword = {LDPC code, μ-Geodetic graph, Block design} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus





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