An Existing Problem for Symmetric Design: Bruck Ryser Chowla Theorem

Symetric designs are interesting objects of combinatorics, and have some relations with coding theory, difference sets, geometry and finite group theory. They have applications on statistics and design experiments. In the present paper we study an existing problem for symmetric design due to Bruck,...

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Main Authors: Emek Demirci Akarsu, Safiye Öztürk
Format: Article
Language:English
Published: Sakarya University 2022-04-01
Series:Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
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Online Access:https://dergipark.org.tr/tr/download/article-file/1861200
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author Emek Demirci Akarsu
Safiye Öztürk
author_facet Emek Demirci Akarsu
Safiye Öztürk
author_sort Emek Demirci Akarsu
collection DOAJ
description Symetric designs are interesting objects of combinatorics, and have some relations with coding theory, difference sets, geometry and finite group theory. They have applications on statistics and design experiments. In the present paper we study an existing problem for symmetric design due to Bruck, Ryser and Chowla and write an algorithm by using their theorem called BRC Theorem.
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institution Kabale University
issn 2147-835X
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publishDate 2022-04-01
publisher Sakarya University
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series Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
spelling doaj-art-111ec3ea2d874b6f96c0ee10f7ff81f32024-12-23T08:10:34ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2022-04-0126224124810.16984/saufenbilder.96281728An Existing Problem for Symmetric Design: Bruck Ryser Chowla TheoremEmek Demirci Akarsu0https://orcid.org/0000-0003-4769-0830Safiye Öztürkhttps://orcid.org/0000-0002-6494-6175Recep Tayyip Erdogan UniversitySymetric designs are interesting objects of combinatorics, and have some relations with coding theory, difference sets, geometry and finite group theory. They have applications on statistics and design experiments. In the present paper we study an existing problem for symmetric design due to Bruck, Ryser and Chowla and write an algorithm by using their theorem called BRC Theorem.https://dergipark.org.tr/tr/download/article-file/1861200bruck ryser chowla theoremdifference setssymmetrıc designs
spellingShingle Emek Demirci Akarsu
Safiye Öztürk
An Existing Problem for Symmetric Design: Bruck Ryser Chowla Theorem
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
bruck ryser chowla theorem
difference sets
symmetrıc designs
title An Existing Problem for Symmetric Design: Bruck Ryser Chowla Theorem
title_full An Existing Problem for Symmetric Design: Bruck Ryser Chowla Theorem
title_fullStr An Existing Problem for Symmetric Design: Bruck Ryser Chowla Theorem
title_full_unstemmed An Existing Problem for Symmetric Design: Bruck Ryser Chowla Theorem
title_short An Existing Problem for Symmetric Design: Bruck Ryser Chowla Theorem
title_sort existing problem for symmetric design bruck ryser chowla theorem
topic bruck ryser chowla theorem
difference sets
symmetrıc designs
url https://dergipark.org.tr/tr/download/article-file/1861200
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AT emekdemirciakarsu existingproblemforsymmetricdesignbruckryserchowlatheorem
AT safiyeozturk existingproblemforsymmetricdesignbruckryserchowlatheorem