A recursive construction of doubly resolvable Steiner quadruple systems (Q6544462)
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scientific article; zbMATH DE number 7854041
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A recursive construction of doubly resolvable Steiner quadruple systems |
scientific article; zbMATH DE number 7854041 |
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A recursive construction of doubly resolvable Steiner quadruple systems (English)
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27 May 2024
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A design is called resolvable if its block set can be partitioned into parts, called parallel classes, such that each point of the design occurs in exactly one block of each parallel class. Two resolutions of the same design are said to be orthogonal if each parallel class of one resolution has at most one block in common with each parallel class of the other resolution. If a design has two mutually orthogonal resolutions, the design is called doubly resolvable. In this paper, the authors give a recursive construction of doubly resolvable Steiner quadruple systems. In this construction, they use almost doubly resolvable candelabra quadruple systems, which are defined in this paper.
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doubly resolvable
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Steiner quadruple system
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almost doubly resolvable candelabra quadruple system
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group divisible \(t\)-design
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