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dc.contributor.authorOkazaki, Hiroyukipl
dc.date.accessioned2016-12-16T10:30:42Z-
dc.date.available2016-12-16T10:30:42Z-
dc.date.issued2015pl
dc.identifier.citationFormalized Mathematics, Volume 23, Issue 4, 371–378pl
dc.identifier.issn1426-2630pl
dc.identifier.issn1898-9934pl
dc.identifier.urihttp://hdl.handle.net/11320/4909-
dc.description.abstractIn this article we formalize negligible functions that play an essential role in cryptology [10], [2]. Generally, a cryptosystem is secure if the probability of succeeding any attacks against the cryptosystem is negligible. First, we formalize the algebra of polynomially bounded sequences [20]. Next, we formalize negligible functions and prove the set of negligible functions is a subset of the algebra of polynomially bounded sequences. Moreover, we then introduce equivalence relation between polynomially bounded sequences, using negligible functions.pl
dc.language.isoenpl
dc.publisherDe Gruyter Openpl
dc.subjectpolynomially bounded functionpl
dc.subjectnegligible functionspl
dc.titleAlgebra of Polynomially Bounded Sequences and Negligible Functionspl
dc.typeArticlepl
dc.identifier.doi10.1515/forma-2015-0029pl
dc.description.AffiliationShinshu University, Nagano, Japanpl
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