An enumeration on the structure of nonrepeated triples in a three-fold triple system
The normally used method to construct three-fold triple system is idempotent latin squares.This existing method only produces three-fold triple system that has repeated triples.Thus, this paper attempts to propose a method for developing three-fold triple system that can generate nonrepeated triples...
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| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Published: |
2014
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| Subjects: | |
| Online Access: | http://repo.uum.edu.my/16848/ http://doi.org/10.1063/1.4882582 |
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| Summary: | The normally used method to construct three-fold triple system is idempotent latin squares.This existing method only produces three-fold triple system that has repeated triples.Thus, this paper attempts to propose a method for developing three-fold triple system that can generate nonrepeated triples in the design.We employ compatible factorization design to formulate the method for distinct three-fold triple system.In this method we need to ascertain a starter set as a first set to begin with.Further, we make use of this starter set to produce the design of distinct three-fold triple system. As special reference, we are keen to exemplify for case v = 9. |
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