منابع مشابه
A 2 -code = Aane Resolvable + Bibd
We say that an A 2-code is optimum if it has the minimum cheating probabilities and the minimum sizes of keys. We rst show that an optimum A 2-code implies an aane-resolvable design. Next, we de-ne an aane-resolvable + BIBD design and prove that an optimum A 2-code is equivalent to an aane-resolvable + BIBD design.
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We show that the necessary divisibility conditions for the existence of a σ-resolvable BIBD(v, k, λ) are sufficient for large v. The key idea is to form an auxiliary graph based on an [r, k]-configuration with r = σ, and then edge-decompose the complete λ-fold graph K (λ) v into this graph. As a consequence, we initiate a similar existence theory for incomplete designs with index λ. ∗ Supported...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1983
ISSN: 0012-365X
DOI: 10.1016/0012-365x(83)90003-1