Super-simple designs with v⩽32

Autor: Iliya Bluskov, Katherine Heinrich
Rok vydání: 2001
Předmět:
Zdroj: Journal of Statistical Planning and Inference. 95:121-131
ISSN: 0378-3758
DOI: 10.1016/s0378-3758(00)00282-2
Popis: A t-(v,k,λ) design D=(X, B ) is a collection B ={B 1 ,B 2 ,…,B b } of k-subsets (called blocks) of a v-set X (with elements called points) such that every t-subset of X is contained in precisely λ blocks. Let p D = max 1⩽i |B i ∩B j | . Let p ∗ =p ∗ (t,v,k,λ)= min D p D , where D is a t-(v,k,λ) design. A super-simple t-(v,k,λ) design D is one with p D =p ∗ . In this paper we survey known results and present some new super-simple 2-(v,4,λ) designs for v⩽32.
Databáze: OpenAIRE
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