title: Faulty share detection in Shamir’s secret sharing
metadata.name: dc.contributor.author
metadata.value: Uteshev, Alexei Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Marov, Aleksei V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-07-17T12:32:30Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-07-17T12:32:30Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Uteshev A. Yu., Marov A. V. Faulty share detection in Shamir’s secret sharing. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 2, pp. 274–282.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2019.210
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15960
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: For Shamir’s secret key sharing algorithm, we develop the procedure for detection of faulty shares. This procedure consists of the error locator polynomial construction for the data set {(xj , yj )}j=1 with y values generated from x ones by a polynomial interpolant of a degree n < N − 1 with possible occurrence of some errors. The error locator polynomial is sought out in the form of an appropriate Hankel polynomial.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work is supported by the Russian Foundation for Basic Research (project N 17-29-04288).
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 15; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: Shamir’s secret sharing
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: polynomial interpolation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Hankel polynomials
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: error correction
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Faulty share detection in Shamir’s secret sharing
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 274-282.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15960/1/274-282.pdf
resources.format: Adobe PDF
resources.size: 279,6 kB