Mandatory representation designs MRD(4, k; v) with k ≡ 2 mod 3
Ge, Gennian
VerfasserIn
aut
Grüttmüller, Martin
1970-
VerfasserIn
aut
Hartmann, Sven
1969-
VerfasserIn
aut
Rees, Rolf S.
1960-
VerfasserIn
aut
text
Text
gw
2005
monographic
XA-DE
Rostock
University of Rostock, Institute of Mathematics
publisher
2005
Rostock
Universitätsbibliothek
distributor
eng
1 Online-Ressource (22 Seiten)
A mandatory representation design MRD(K;v) is a pairwise balanced design on v Points with block sizes from the set K in which for each k ∈ K there is at least one block in the design of size k. In this paper, we Show that the necessery criteria for an MRD(K;v) to exist are asymptotically sufficient for finite K. Furthermore, we consider MRDs with K = {4,k}, where k ≡ 2 mod 3, k ≥ 5. Here, we prove that the necessary conditions for existence are sufficient if v ≡ 2 mod 3 and v ≥ 18k^2, or v ≡ 0 mod 3 and v ≥ 12k^3, or v ≡ 1 mod 3 and v ≥ 8k^4.<eng>
Open Access
Urheberrechtsschutz 1.0
Gennian Ge, Martin Grüttmüller, Sven Hartmann, Rolf Rees
510
https://purl.uni-rostock.de/rosdok/id00005899
Mandatory representation design mrd (4,k;v) with k
Rostock : Univ, 2005
Druck-Ausgabe
(DE-627)488258820
Preprints aus dem Institut für Mathematik
05/2
urn:nbn:de:gbv:28-rosdok_id00005899-8
10.18453/rosdok_id00005899
1621946006
rda
DE-627
261021
1987262360
20261021T141329.0
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