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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Shahid Rajaee Teacher Training University</PublisherName>
				<JournalTitle>Journal of Discrete Mathematics and Its Applications</JournalTitle>
				<Issn>2981-0809</Issn>
				<Volume>11</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2026</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Stopping sets of codes from complete bipartite graph</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>87</FirstPage>
			<LastPage>97</LastPage>
			<ELocationID EIdType="pii">12564</ELocationID>
			
<ELocationID EIdType="doi">10.22061/jdma.2025.11781.1115</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Hamidreza</FirstName>
					<LastName>Maimani</LastName>
<Affiliation>Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University,  Iran</Affiliation>

</Author>
<Author>
					<FirstName>Mahbubeh</FirstName>
					<LastName>Nazari</LastName>
<Affiliation>Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran,
Iran.</Affiliation>

</Author>
<Author>
					<FirstName>Abolfazl</FirstName>
					<LastName>Tehranian</LastName>
<Affiliation>Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran,
Iran.</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2025</Year>
					<Month>02</Month>
					<Day>23</Day>
				</PubDate>
			</History>
		<Abstract>Let &lt;em&gt;C&lt;/em&gt; be a code with parity-check matrix &lt;em&gt;H&lt;/em&gt;. A stopping set &lt;em&gt;S&lt;/em&gt; of size &lt;em&gt;l&lt;/em&gt; ≤ &lt;em&gt;n&lt;/em&gt; for &lt;em&gt;H&lt;/em&gt; is an &lt;em&gt;l&lt;/em&gt;-columns submatrix of &lt;em&gt;H&lt;sub&gt;s&lt;/sub&gt;&lt;/em&gt; of &lt;em&gt;H&lt;/em&gt; which does not contain a row with weight one. In this paper we consider the code which parity-check is incidence matrix of complete bipartite graph &lt;em&gt;K&lt;sub&gt;m,n&lt;/sub&gt;&lt;/em&gt;. These codes are LDPC codes and we obtain the stopping sets for these codes.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Linear code</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Stopping set</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Complete bipartite graph</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jdma.sru.ac.ir/article_12564_f6ca2b6c40393449f82c5e4fec61bdfb.pdf</ArchiveCopySource>
</Article>
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