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<cfResPublDate>2020-09-18</cfResPublDate>
<cfVol>93</cfVol>
<cfIssue>2</cfIssue>
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<cfURI>https://ibn.idsi.md/ro/vizualizare_articol/110205</cfURI>
<cfTitle cfLangCode='EN' cfTrans='o'>Signature Schemes on Algebras, Satisfying Enhanced Criterion of Post-quantum Security</cfTitle>
<cfKeyw cfLangCode='EN' cfTrans='o'>finite associative algebra; non-commutative algebra; discrete logarithm problem; hidden logarithm problem; Post-quantum cryptography; Digital signature</cfKeyw>
<cfAbstr cfLangCode='EN' cfTrans='o'><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></cfAbstr>
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