APPLICATION OF INTERSECTION PATTERN CONDITION IN DETERMINING THE EXISTENCE OF BUTSON WEIGHING MATRICES
In this Thesis, the author writes about intersection pattern condition, which is first discovered as a tool to classify weighing matrices, to be implemented into their generalization, namely Butson weighing matrices. The author focuses on Butson weighing matrices over the q-th root of unity, wher...
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id-itb.:649752022-06-17T16:12:24ZAPPLICATION OF INTERSECTION PATTERN CONDITION IN DETERMINING THE EXISTENCE OF BUTSON WEIGHING MATRICES William Putra Jaya, Wu Indonesia Theses Butson weighing matrices, kth root of unity, intersection pattern condition INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/64975 In this Thesis, the author writes about intersection pattern condition, which is first discovered as a tool to classify weighing matrices, to be implemented into their generalization, namely Butson weighing matrices. The author focuses on Butson weighing matrices over the q-th root of unity, where q is a prime power, and also for small orders. The results obtained are the nonexistence of Butson weighing matrices for some triple q, n, k and the description of equivalence classes of Butson weighing matrices for some cases. text |
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In this Thesis, the author writes about intersection pattern condition, which is first
discovered as a tool to classify weighing matrices, to be implemented into their
generalization, namely Butson weighing matrices. The author focuses on Butson
weighing matrices over the q-th root of unity, where q is a prime power, and also
for small orders. The results obtained are the nonexistence of Butson weighing
matrices for some triple q, n, k and the description of equivalence classes of Butson
weighing matrices for some cases. |
format |
Theses |
author |
William Putra Jaya, Wu |
spellingShingle |
William Putra Jaya, Wu APPLICATION OF INTERSECTION PATTERN CONDITION IN DETERMINING THE EXISTENCE OF BUTSON WEIGHING MATRICES |
author_facet |
William Putra Jaya, Wu |
author_sort |
William Putra Jaya, Wu |
title |
APPLICATION OF INTERSECTION PATTERN CONDITION IN DETERMINING THE EXISTENCE OF BUTSON WEIGHING MATRICES |
title_short |
APPLICATION OF INTERSECTION PATTERN CONDITION IN DETERMINING THE EXISTENCE OF BUTSON WEIGHING MATRICES |
title_full |
APPLICATION OF INTERSECTION PATTERN CONDITION IN DETERMINING THE EXISTENCE OF BUTSON WEIGHING MATRICES |
title_fullStr |
APPLICATION OF INTERSECTION PATTERN CONDITION IN DETERMINING THE EXISTENCE OF BUTSON WEIGHING MATRICES |
title_full_unstemmed |
APPLICATION OF INTERSECTION PATTERN CONDITION IN DETERMINING THE EXISTENCE OF BUTSON WEIGHING MATRICES |
title_sort |
application of intersection pattern condition in determining the existence of butson weighing matrices |
url |
https://digilib.itb.ac.id/gdl/view/64975 |
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1822277175712153600 |