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Pregled bibliografske jedinice broj: 906266

Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4)

Crnković, Dean; Rodrigues, B. G.; Rukavina, Sanja; Tonchev, Vladimir
Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4) // Discrete mathematics, 340 (2017), 10; 2472-2478 doi:10.1016/j.disc.2017.06.008 (međunarodna recenzija, članak, znanstveni)

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Naslov
Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4)

Autori
Crnković, Dean ; Rodrigues, B. G. ; Rukavina, Sanja ; Tonchev, Vladimir

Izvornik
Discrete mathematics (0012-365X) 340 (2017), 10; 2472-2478

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Quasi-symmetric design ; Linear code ; Automorphism group ; Strongly regular graph

Sažetak
This paper completes the enumeration of quasi-symmetric 2- (64, 24, 46) designs supported by the dual code $C^⊥$ of the binary linear code C spanned by the lines of AG(3, 4), initiated in Rodrigues and Tonchev (2015). It is shown that $C^⊥$ supports exactly 30, 264 nonisomorphic quasi- symmetric 2-(64, 24, 46) designs. The automorphism groups of the related strongly regular graphs are computed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (CoCoS) (Crnković, Dean, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Avatar Url Sanja Rukavina (autor)

Avatar Url Dean Crnković (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Crnković, Dean; Rodrigues, B. G.; Rukavina, Sanja; Tonchev, Vladimir
Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4) // Discrete mathematics, 340 (2017), 10; 2472-2478 doi:10.1016/j.disc.2017.06.008 (međunarodna recenzija, članak, znanstveni)
Crnković, D., Rodrigues, B., Rukavina, S. & Tonchev, V. (2017) Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4). Discrete mathematics, 340 (10), 2472-2478 doi:10.1016/j.disc.2017.06.008.
@article{article, author = {Crnkovi\'{c}, Dean and Rodrigues, B. G. and Rukavina, Sanja and Tonchev, Vladimir}, year = {2017}, pages = {2472-2478}, DOI = {10.1016/j.disc.2017.06.008}, keywords = {Quasi-symmetric design, Linear code, Automorphism group, Strongly regular graph}, journal = {Discrete mathematics}, doi = {10.1016/j.disc.2017.06.008}, volume = {340}, number = {10}, issn = {0012-365X}, title = {Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4)}, keyword = {Quasi-symmetric design, Linear code, Automorphism group, Strongly regular graph} }
@article{article, author = {Crnkovi\'{c}, Dean and Rodrigues, B. G. and Rukavina, Sanja and Tonchev, Vladimir}, year = {2017}, pages = {2472-2478}, DOI = {10.1016/j.disc.2017.06.008}, keywords = {Quasi-symmetric design, Linear code, Automorphism group, Strongly regular graph}, journal = {Discrete mathematics}, doi = {10.1016/j.disc.2017.06.008}, volume = {340}, number = {10}, issn = {0012-365X}, title = {Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4)}, keyword = {Quasi-symmetric design, Linear code, Automorphism group, Strongly regular graph} }

Časopis indeksira:


  • 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

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