Non-existence of a simple 3-(16, 7, 5) design with an automorphism of order 3
نویسندگان
چکیده
منابع مشابه
The existence of a simple 3-(28, 5, 30) design
A t-(v, k, A) design is a pair (X, B), where 99 is a collection of subsets of size k (called blocks) from a set X of cardinality u such that every t-element subset of X is contained in exactly 1 blocks of B. If the blocks in GJ are not repeated, the design is said to be simple. It is easy to show that the minimum value of L for which a 3-(28,.5, A) design can possibly exist is 30. The existence...
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When trying to enumerate all BIBD’s for given parameters, their natural solution space appears to be huge and grows extremely with the number of points of the design. Therefore, constructive enumerations are often carried out by assuming additional constraints on design’s structure, automorphisms being mostly used ones. It remains a hard task to construct designs with trivial automorphism group...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2015
ISSN: 0012-365X
DOI: 10.1016/j.disc.2014.11.016