Pregled bibliografske jedinice broj: 1138346
Construction of transitive q-designs
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