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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2014
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author | Ibrahim, Haslinda Karim, Sharmila Mohamad, Mohd Saiful Adli |
author_facet | Ibrahim, Haslinda Karim, Sharmila Mohamad, Mohd Saiful Adli |
author_sort | Ibrahim, Haslinda |
collection | UUM |
description | 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. |
first_indexed | 2024-07-04T06:03:21Z |
format | Conference or Workshop Item |
id | uum-16848 |
institution | Universiti Utara Malaysia |
last_indexed | 2024-07-04T06:03:21Z |
publishDate | 2014 |
record_format | eprints |
spelling | uum-168482016-05-17T08:19:24Z https://repo.uum.edu.my/id/eprint/16848/ An enumeration on the structure of nonrepeated triples in a three-fold triple system Ibrahim, Haslinda Karim, Sharmila Mohamad, Mohd Saiful Adli QA Mathematics 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. 2014-06-19 Conference or Workshop Item PeerReviewed Ibrahim, Haslinda and Karim, Sharmila and Mohamad, Mohd Saiful Adli (2014) An enumeration on the structure of nonrepeated triples in a three-fold triple system. In: 3rd International Conference on Mathematical Sciences, 17–19 December 2013, Kuala Lumpur, Malaysia. http://doi.org/10.1063/1.4882582 doi:10.1063/1.4882582 doi:10.1063/1.4882582 |
spellingShingle | QA Mathematics Ibrahim, Haslinda Karim, Sharmila Mohamad, Mohd Saiful Adli An enumeration on the structure of nonrepeated triples in a three-fold triple system |
title | An enumeration on the structure of nonrepeated triples in a three-fold triple system |
title_full | An enumeration on the structure of nonrepeated triples in a three-fold triple system |
title_fullStr | An enumeration on the structure of nonrepeated triples in a three-fold triple system |
title_full_unstemmed | An enumeration on the structure of nonrepeated triples in a three-fold triple system |
title_short | An enumeration on the structure of nonrepeated triples in a three-fold triple system |
title_sort | enumeration on the structure of nonrepeated triples in a three fold triple system |
topic | QA Mathematics |
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