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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Main Author: William Putra Jaya, Wu
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/64975
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:64975
spelling 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
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description 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
_version_ 1822277175712153600