A new design of the signature schemes based on the hidden discrete logarithm problem
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MOLDOVYAN, Dmitriy, MOLDOVYAN, Alexandr, MOLDOVYAN, Nikolay. A new design of the signature schemes based on the hidden discrete logarithm problem. In: Quasigroups and Related Systems, 2021, vol. 29, nr. 1(45), pp. 97-106. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 29, Numărul 1(45) / 2021 / ISSN 1561-2848

A new design of the signature schemes based on the hidden discrete logarithm problem

CZU: 512.552.18+512.624.5+004.056.55

Pag. 97-106

Moldovyan Dmitriy, Moldovyan Alexandr, Moldovyan Nikolay
 
St. Petersburg Institute for Informatics and Automation of Russian Academy of Sciences
 
Disponibil în IBN: 27 iunie 2021


Rezumat

A new design of the signature scheme based on the computational complexity of the hidden discrete logarithm problem, which meets the criterion of elimination of periodicity associated with the value of the discrete logarithm, is introduced as a candidate for post-quantum public-key cryptoscheme. The used design criterion is oriented to provide security to the known and potential future quantum attacks. Three different 6-dimensional finite non-commutative associative algebras sets over the field GF(p) are considered as the algebraic support of the developed signature have algorithm that is characterized in using a commutative finite group possessing 2-dimensional cyclicity as a hidden group. Besides, the following two different types of masking operations are applied: i) operations that are mutual commutative with the exponentiation operation and ii) operations that are free of this property.