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512.552.18+512.548.7+512.624.95 (1) |
Algebra (400) |
SM ISO690:2012 MOLDOVYAN, Nikolay. Signature Schemes on Algebras, Satisfying Enhanced Criterion of Post-quantum Security. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2020, nr. 2(93), pp. 62-67. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(93) / 2020 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512.552.18+512.548.7+512.624.95 | ||||||
MSC 2010: 94A60, 16Z05, 14G50, 11T71, 16S50. | ||||||
Pag. 62-67 | ||||||
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Rezumat | ||||||
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. |
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Cuvinte-cheie finite associative algebra, non-commutative algebra, discrete logarithm problem, hidden logarithm problem, Post-quantum cryptography, Digital signature |
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