title: Digital signature scheme on the 2 x 2 matrix algebra
metadata.name: dc.contributor.author
metadata.value: Moldovyan, Nikolay A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Moldovyan, Alexandr A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-10-06T10:34:57Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-10-06T10:34:57Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Moldovyan N. A., Moldovyan A. A. Digital signature scheme on the 2 x 2 matrix algebra. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 3, pp. 254-261.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.303
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33249
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article considers the structure of the 2x2 matrix algebra set over a ground finite field
  GF(p). It is shown that this algebra contains three types of commutative subalgebras of
  order p2, which differ in the value of the order of their multiplicative group. Formulas
  describing the number of subalgebras of every type are derived. A new post-quantum digital
  signature scheme is introduced based on a novel form of the hidden discrete logarithm
  problem. The scheme is characterized in using scalar multiplication as an additional operation
  masking the hidden cyclic group in which the basic exponentiation operation is performed
  when generating the public key. The advantage of the developed signature scheme is the
  comparatively high performance of the signature generation and verification algorithms as
  well as the possibility to implement a blind signature protocol on its base.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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 17; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: digital signature
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: post-quantum cryptoscheme
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: blind signature
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: hidden logarithm problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: finite associative algebra
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: matrix algebra
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Digital signature scheme on the 2 x 2 matrix algebra
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 254-261.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33249/1/254-261.pdf
resources.format: Adobe PDF
resources.size: 357,66 kB