title: Post-quantum electronic digital signature scheme based on the enhanced form of the hidden discrete logarithm problem
metadata.name: dc.contributor.author
metadata.value: Moldovyan, Nikolai A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Abrosimov, Ivan K.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-07-17T11:58:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-07-17T11:58:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Moldovyan N. A., Abrosimov I. K. Post-quantum electronic digital signature scheme based on the enhanced form of the hidden discrete logarithm problem. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 2, pp. 212–220.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2019.205
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15955
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A digital signature scheme based on the computational difficulty of the hidden discrete logarithm problem defined in finite non-commutative associative algebras is proposed. The modified quaternion algebra and its properties are considered as the algebraic carrier of the introduced post-quantum digital signature scheme. Formulas describing the set of local units associated with a given non-invertible vector of a modified quaternion algebra are derived. A new form of the hidden discrete logarithm problem has been formulated and a digital signature scheme has been developed on its base.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 15; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: post-quantum cryptography
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: cryptographic primitive
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: electronic signature
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: finite algebra
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: non-commutative associative algebra
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Post-quantum electronic digital signature scheme based on the enhanced form of the hidden discrete logarithm problem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 212-220.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15955/1/212-220.pdf
resources.format: Adobe PDF
resources.size: 270,9 kB