منابع مشابه
Some New Symmetric Block Designs EDWARD
In his book [I 1, Marshall Hall gives a table of balanced incomplete block designs with from 3 to 15 replications. It is mentioned there that a solution is unknown as to whether or not there exists a symmetric block design with parameters (v, k, h) = (36, 15, 6) (number 104 in the table). It is the purpose of this paper to show that such a design can in fact be constructed quite simply and to s...
متن کاملSome New Symmetric Designs for (256,120,56)
We prove the existence of two symmetric designs with parameters (256,120,56) for which the full automorphism group is isomorphic to (Z17.Z8) x (Z7.Z3).
متن کاملSome Block Designs Constructed from Resolvable Designs
LetD be a resolvable 2−(v, k, λ) design, andD′ be a 2−(v′, k′, λ′) design, such that v′ = v k . Further, let r and r′ be replication numbers of a point in D and D′, respectively. Shrikhande and Raghavarao proved that then there exists a 2 − (v′′, k′′, λ′′) design D′′, such that v′′ = v, k′′ = kk′ and λ′′ = r′λ + (r − λ)λ′. If D′ is resolvable, then D′′ is also resolvable. Applying this result, ...
متن کاملSome new symmetric designs with parameters (64, 28, 12)
Fortysix mutually nonisomorphic symmetric (64,28,12)-designs have been constructed by means of tactical decompositions. They all admit an action of the nonabelian group of order 21. The computation of their full automorphism groups as well as their derived (28,12,11)-designs proves that none of them can be isomorphic to any of the known (64,28,12)-designs.
متن کاملSome remarks on subdesigns of symmetric designs
• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1971
ISSN: 0097-3165
DOI: 10.1016/0097-3165(71)90057-4