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Pregled bibliografske jedinice broj: 1138346

Construction of transitive q-designs


Crnković, Dean; Mikulić Crnković, Vedrana; Švob, Andrea
Construction of transitive q-designs // ACA 2021 Book of Abstracts / Garn, Bernhard ; Kampel, Ludwig ; Kotsireas, Ilias ; Simos, Dimitris ; Wester, Michael (ur.).
online, 2021. str. 148-148 (predavanje, međunarodna recenzija, sažetak, znanstveni)


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Naslov
Construction of transitive q-designs

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

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
ACA 2021 Book of Abstracts / Garn, Bernhard ; Kampel, Ludwig ; Kotsireas, Ilias ; Simos, Dimitris ; Wester, Michael - , 2021, 148-148

Skup
26th International Conference on Applications of Computer Algebra (ACA 2021)

Mjesto i datum
Online, 23.07.2021. - 27.07.2021

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
block design ; q-design ; transitive group

Sažetak
The notion of q-analog of designs has been introduced by Delsarte in 1976. In 1987, Thomas constructed the first non-trivial q-analog of design with parameters 2-(n, 3, 7 ; 2), n>6, n=6k+1 or n=6k−1. An important result was given in 2016, when M. Braun, T. Etzion, P. Ostergard and A. Vardy, A.Wassermann constructed a design over a finite field with parameters 2-(13, 3, 1 ; 2) which was the first known example of a Steiner q-design that does not arise from spreads. In this talk we will present a method of constructing transitive q-designs, which is a generalization of the method for constructing transitive designs given by the authors.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-51 - Kodovi, grupe i kombinatoričke strukture (Crnković, Dean, NadSve ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-111 - Permutacijske grupe kao dizajni, geometrijski dizajni i konačne geometrije (Mikulić Crnković, Vedrana, NadSve - UNIRI PROJEKTI 2018) ( CroRIS)

Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku


Citiraj ovu publikaciju:

Crnković, Dean; Mikulić Crnković, Vedrana; Švob, Andrea
Construction of transitive q-designs // ACA 2021 Book of Abstracts / Garn, Bernhard ; Kampel, Ludwig ; Kotsireas, Ilias ; Simos, Dimitris ; Wester, Michael (ur.).
online, 2021. str. 148-148 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Crnković, D., Mikulić Crnković, V. & Švob, A. (2021) Construction of transitive q-designs. U: Garn, B., Kampel, L., Kotsireas, I., Simos, D. & Wester, M. (ur.)ACA 2021 Book of Abstracts.
@article{article, author = {Crnkovi\'{c}, Dean and Mikuli\'{c} Crnkovi\'{c}, Vedrana and \v{S}vob, Andrea}, year = {2021}, pages = {148-148}, keywords = {block design, q-design, transitive group}, title = {Construction of transitive q-designs}, keyword = {block design, q-design, transitive group}, publisherplace = {online} }
@article{article, author = {Crnkovi\'{c}, Dean and Mikuli\'{c} Crnkovi\'{c}, Vedrana and \v{S}vob, Andrea}, year = {2021}, pages = {148-148}, keywords = {block design, q-design, transitive group}, title = {Construction of transitive q-designs}, keyword = {block design, q-design, transitive group}, publisherplace = {online} }




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