Construction of Sylvester-Hadamard Matrices by Using Binary Code

A simple method is presented which defines Sylvester-Hadamard matrices in terms of products of binary code. This method is based representation of natural number as binary code which take only two value 0 or 1. Such a Hadamard matrices generator can be used to find the spectral coefficients of Boole...

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Format: Article
Language:English
Published: University of Anbar 2009-04-01
Series:مجلة جامعة الانبار للعلوم الصرفة
Subjects:
Online Access:https://juaps.uoanbar.edu.iq/article_37707_06383ffe62b57510d1bf1f3236fb5569.pdf
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collection DOAJ
description A simple method is presented which defines Sylvester-Hadamard matrices in terms of products of binary code. This method is based representation of natural number as binary code which take only two value 0 or 1. Such a Hadamard matrices generator can be used to find the spectral coefficients of Boolean functions.
first_indexed 2024-03-08T18:49:12Z
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institution Directory Open Access Journal
issn 1991-8941
2706-6703
language English
last_indexed 2024-03-08T18:49:12Z
publishDate 2009-04-01
publisher University of Anbar
record_format Article
series مجلة جامعة الانبار للعلوم الصرفة
spelling doaj.art-8776e31fbf764e44bcce96178b4785fa2023-12-28T21:53:52ZengUniversity of Anbarمجلة جامعة الانبار للعلوم الصرفة1991-89412706-67032009-04-013114815110.37652/juaps.2009.3770737707Construction of Sylvester-Hadamard Matrices by Using Binary CodeA simple method is presented which defines Sylvester-Hadamard matrices in terms of products of binary code. This method is based representation of natural number as binary code which take only two value 0 or 1. Such a Hadamard matrices generator can be used to find the spectral coefficients of Boolean functions.https://juaps.uoanbar.edu.iq/article_37707_06383ffe62b57510d1bf1f3236fb5569.pdfhadamard matrixbinary codekroncker productboolean function
spellingShingle Construction of Sylvester-Hadamard Matrices by Using Binary Code
مجلة جامعة الانبار للعلوم الصرفة
hadamard matrix
binary code
kroncker product
boolean function
title Construction of Sylvester-Hadamard Matrices by Using Binary Code
title_full Construction of Sylvester-Hadamard Matrices by Using Binary Code
title_fullStr Construction of Sylvester-Hadamard Matrices by Using Binary Code
title_full_unstemmed Construction of Sylvester-Hadamard Matrices by Using Binary Code
title_short Construction of Sylvester-Hadamard Matrices by Using Binary Code
title_sort construction of sylvester hadamard matrices by using binary code
topic hadamard matrix
binary code
kroncker product
boolean function
url https://juaps.uoanbar.edu.iq/article_37707_06383ffe62b57510d1bf1f3236fb5569.pdf