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Pregled bibliografske jedinice broj: 840430

On some transitive combinatorial structures and codes constructed from the symplectic group S(6, 2)


Crnković, Dean; Mikulić Crnković, Vedrana; Švob, Andrea
On some transitive combinatorial structures and codes constructed from the symplectic group S(6, 2) // JCMCC. Journal of combinatorial mathematics and combinatorial computing, 97 (2016), 119-138 (međunarodna recenzija, članak, znanstveni)


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Naslov
On some transitive combinatorial structures and codes constructed from the symplectic group S(6, 2)

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

Izvornik
JCMCC. Journal of combinatorial mathematics and combinatorial computing (0835-3026) 97 (2016); 119-138

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

Ključne riječi
Block design ; strongly regular graph ; Linear code ; Symplectic group ; Transitive group

Sažetak
We describe the construction of transitive 2- designs and strongly regular graphs defined on the conjugacy classes of the maximal and second maximal subgroups of the symplectic group S(6, 2). Furthermore, we present linear codes invariant under the action of the group S(6, 2) obtained as the codes of the constructed designs and graphs.

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

Citiraj ovu publikaciju:

Crnković, Dean; Mikulić Crnković, Vedrana; Švob, Andrea
On some transitive combinatorial structures and codes constructed from the symplectic group S(6, 2) // JCMCC. Journal of combinatorial mathematics and combinatorial computing, 97 (2016), 119-138 (međunarodna recenzija, članak, znanstveni)
Crnković, D., Mikulić Crnković, V. & Švob, A. (2016) On some transitive combinatorial structures and codes constructed from the symplectic group S(6, 2). JCMCC. Journal of combinatorial mathematics and combinatorial computing, 97, 119-138.
@article{article, author = {Crnkovi\'{c}, Dean and Mikuli\'{c} Crnkovi\'{c}, Vedrana and \v{S}vob, Andrea}, year = {2016}, pages = {119-138}, keywords = {Block design, strongly regular graph, Linear code, Symplectic group, Transitive group}, journal = {JCMCC. Journal of combinatorial mathematics and combinatorial computing}, volume = {97}, issn = {0835-3026}, title = {On some transitive combinatorial structures and codes constructed from the symplectic group S(6, 2)}, keyword = {Block design, strongly regular graph, Linear code, Symplectic group, Transitive group} }
@article{article, author = {Crnkovi\'{c}, Dean and Mikuli\'{c} Crnkovi\'{c}, Vedrana and \v{S}vob, Andrea}, year = {2016}, pages = {119-138}, keywords = {Block design, strongly regular graph, Linear code, Symplectic group, Transitive group}, journal = {JCMCC. Journal of combinatorial mathematics and combinatorial computing}, volume = {97}, issn = {0835-3026}, title = {On some transitive combinatorial structures and codes constructed from the symplectic group S(6, 2)}, keyword = {Block design, strongly regular graph, Linear code, Symplectic group, Transitive group} }

Časopis indeksira:


  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts





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