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Steiner Systems

Authored by: Charles J. Colbourn , Rudolf Mathon

Handbook of Combinatorial Designs

Print publication date:  November  2006
Online publication date:  November  2006

Print ISBN: 9781584885061
eBook ISBN: 9781420010541
Adobe ISBN:

10.1201/9781420010541-8

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Abstract

5.1

Given three integers t, k, v such that 2 ≤ t < k < v, a Steiner system S(t, k, v) is a v-set V together with a family B of k-subsets of V (blocks) with the property that every t-subset of V is contained in exactly one block. Equivalently, an S(t, k, v) is a t-(v, k, 1) design.

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