Geodesic
Signature schemes on algebras, satisfying enhanced criterion of post-quantum security
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2020), pp. 62-67

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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. 
@article{BASM_2020_2_a5,
     author = {N. A. Moldovyan},
     title = {Signature schemes on algebras, satisfying enhanced criterion of post-quantum security},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {62--67},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2020_2_a5/}
}
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N. A. Moldovyan. Signature schemes on algebras, satisfying enhanced criterion of post-quantum security. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2020), pp. 62-67. http://geodesic.mathdoc.fr/item/BASM_2020_2_a5/