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Pregled bibliografske jedinice broj: 971958

Transitive combinatorial structures invariant under some subgroups of S(6, 2) and related codes


Crnković, Dean; Mikulić Crnković, Vedrana; Švob, Andrea
Transitive combinatorial structures invariant under some subgroups of S(6, 2) and related codes // Atti della Accademia Peloritana dei Pericolanti - Classe di Scienze Fisiche, Matematiche e Naturali, 96 (2018), S2; A5, 15 doi:10.1478/AAPP.96S2A5 (međunarodna recenzija, članak, znanstveni)


Naslov
Transitive combinatorial structures invariant under some subgroups of S(6, 2) and related codes

Autori
Crnković, Dean ; Mikulić Crnković, Vedrana ; Švob, Andrea

Izvornik
Atti della Accademia Peloritana dei Pericolanti - Classe di Scienze Fisiche, Matematiche e Naturali (1825-1242) 96 (2018), S2; A5, 15

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

Ključne riječi
Transitive group, $t$-design, strongly regular graph, distance-regular graph, flag-transitive design, linear code.

Sažetak
In this paper we define combinatorial structures on the conjugacy classes of the maximal subgroups of the symplectic group S(6, 2) under the action of two subgroups of S(6, 2) isomorphic to U(3, 3) and U(4, 2). Further, we examine binary and ternary linear codes obtained from the row span of the incidence matrices of the block designs (respectively adjacency matrices of the strongly regular graphs) obtained in the paper. Moreover, from the codes examined we construct the designs supported by the codewords as well as SRG and DRG, respectively.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (Dean Crnković, )

Ustanove
Sveučilište u Rijeci - Odjel za matematiku

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Emerging Sources Citation Index (ESCI)
  • Scopus


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