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<creators>
<creator>
<creatorName>Moldovyan, N.A.</creatorName>
<affiliation>St. Petersburg Institute for Informatics and Automation of Russian Academy of Sciences, Rusia</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>Signature Schemes on Algebras, Satisfying Enhanced Criterion of Post-quantum Security</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2020</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1024-7696</relatedIdentifier>
<subjects>
<subject>finite associative algebra</subject>
<subject>non-commutative algebra</subject>
<subject>discrete logarithm problem</subject>
<subject>hidden logarithm problem</subject>
<subject>Post-quantum cryptography</subject>
<subject>Digital signature</subject>
<subject schemeURI='http://udcdata.info/' subjectScheme='UDC'>512.552.18+512.548.7+512.624.95</subject>
</subjects>
<dates>
<date dateType='Issued'>2020-09-18</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'><p>The paper introduces an enhanced criterion of the post-quantum security for designing post-quantum digital signature schemes based on the hidden discrete logarithm problem. The proposed criterion requires that it is computationally impossible to construct a periodic function containing a period whose length depends on the value of a discrete logarithm in a hidden cyclic group when using public parameters of the signature scheme. A practical post-quantum signature scheme which satisfies the criterion is proposed.</p></description>
</descriptions>
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<format>application/pdf</format>
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