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: Ibrahim, Haslinda, Karim, Sharmila, Mohamad, Mohd Saiful Adli
Format: Conference or Workshop Item
Published: 2014
Subjects:
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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.
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institution Universiti Utara Malaysia
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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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