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Pregled bibliografske jedinice broj: 1264113

Schematic 4-designs

Krčadinac, Vedran; Vlahović Kruc, Renata
Schematic 4-designs // Discrete mathematics, 346 (2023), 7; 113385, 7 doi:10.1016/j.disc.2023.113385 (međunarodna recenzija, članak, znanstveni)

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Naslov
Schematic 4-designs

Autori
Krčadinac, Vedran ; Vlahović Kruc, Renata

Izvornik
Discrete mathematics (0012-365X) 346 (2023), 7; 113385, 7

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

Ključne riječi
combinatorial design ; association scheme ; quadratic residue code

Sažetak
We study 4-designs with three intersection numbers. By the Cameron-Delsarte theorem, the blocks form a symmetric three-class association scheme. This imposes strong restrictions on the parameters of such designs. We calculate the eigenvalues of the association scheme from the design parameters and determine all admissible parameters with at most 1000 points. An infinite family of admissible parameters is discovered. Designs with small admissible parameters exist and are related to the quadratic residue codes.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2020-02-9752 - Algoritamske konstrukcije kombinatornih objekata (ACCO) (Krčadinac, Vedran, HRZZ - 2020-02) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Vedran Krčadinac (autor)

Avatar Url Renata Vlahović Kruc (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Krčadinac, Vedran; Vlahović Kruc, Renata
Schematic 4-designs // Discrete mathematics, 346 (2023), 7; 113385, 7 doi:10.1016/j.disc.2023.113385 (međunarodna recenzija, članak, znanstveni)
Krčadinac, V. & Vlahović Kruc, R. (2023) Schematic 4-designs. Discrete mathematics, 346 (7), 113385, 7 doi:10.1016/j.disc.2023.113385.
@article{article, author = {Kr\v{c}adinac, Vedran and Vlahovi\'{c} Kruc, Renata}, year = {2023}, pages = {7}, DOI = {10.1016/j.disc.2023.113385}, chapter = {113385}, keywords = {combinatorial design, association scheme, quadratic residue code}, journal = {Discrete mathematics}, doi = {10.1016/j.disc.2023.113385}, volume = {346}, number = {7}, issn = {0012-365X}, title = {Schematic 4-designs}, keyword = {combinatorial design, association scheme, quadratic residue code}, chapternumber = {113385} }
@article{article, author = {Kr\v{c}adinac, Vedran and Vlahovi\'{c} Kruc, Renata}, year = {2023}, pages = {7}, DOI = {10.1016/j.disc.2023.113385}, chapter = {113385}, keywords = {combinatorial design, association scheme, quadratic residue code}, journal = {Discrete mathematics}, doi = {10.1016/j.disc.2023.113385}, volume = {346}, number = {7}, issn = {0012-365X}, title = {Schematic 4-designs}, keyword = {combinatorial design, association scheme, quadratic residue code}, chapternumber = {113385} }

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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