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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Semnan University</PublisherName>
				<JournalTitle>International Journal of Nonlinear Analysis and Applications</JournalTitle>
				<Issn>2008-6822</Issn>
				<Volume>5</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2014</Year>
					<Month>07</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Sharing several secrets based on Lagrange&#039;s interpolation formula and Cipher feedback mode</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>60</FirstPage>
			<LastPage>66</LastPage>
			<ELocationID EIdType="pii">127</ELocationID>
			
<ELocationID EIdType="doi">10.22075/ijnaa.2014.127</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>A.</FirstName>
					<LastName>Cheraghi</LastName>
<Affiliation>Faculty of Mathematics &amp; Computer, Khansar, University of Isfahan, Isfahan, Iran.</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2013</Year>
					<Month>08</Month>
					<Day>16</Day>
				</PubDate>
			</History>
		<Abstract>In a multi-secret sharing scheme, several secret values are distributed among a set of n participants. In 2000 Chien et al.&#039;s proposed a $(t, n)$ multi-secret sharing scheme. Many storages and public values required in Chien&#039;s scheme. Motivated by these concerns, some new $(t, n)$ multi-secret sharing schemes are proposed in this paper based on the Lagrange interpolation formula for polynomials and cipher feedback mode (CFB), which are easier than Chien&#039;s scheme in the secret reconstruction and require fewer number of public values and storages than Chien&#039;s scheme. Also our schemes don&#039;t need any one-way function and any simultaneous equations.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Multi-secret sharing</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Lagrange interpolation</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Cipher feedback mode</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://ijnaa.semnan.ac.ir/article_127_ec5decca5ed3d6b8079e2e7e7bacc9f2.pdf</ArchiveCopySource>
</Article>
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