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IMI/Publicaţii/BASM/Ediţii/BASM n.2(93), 2020/

Signature Schemes on Algebras, Satisfying Enhanced Criterion of Post-quantum Security

Authors: N. A. Moldovyan

Abstract

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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