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Mat. Vopr. Kriptogr., 2019, Volume 10, Issue 2, Pages 97–106 (Mi mvk287)  

An LWE-based verifiable threshold secret sharing scheme

S. Karimani, Z. Naghdabadi, T. Eghlidos, M. R. Aref

Sharif University of Technology, Tehran, Iran

Abstract: In this paper we propose a verifiable threshold secret sharing scheme based on learning with errors (LWE) problem, which is the first of its kind, to the best of our knowledge. To produce a trapdoor we use an algorithm suggested by Micciancio and Peikert. Shares are distributed using an LWE-based public-key cryptosystem. It is shown that the computational security is based on the hardness of LWE problem and one-wayness of Ajtai’s function.

Key words: lattice based cryptography, learning with errors (LWE) problem, threshold secret sharing, trapdoor function.

DOI: https://doi.org/10.4213/mvk287

Full text: PDF file (184 kB)
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UDC: 519.719.2
Received 06.II.2018
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Citation: S. Karimani, Z. Naghdabadi, T. Eghlidos, M. R. Aref, “An LWE-based verifiable threshold secret sharing scheme”, Mat. Vopr. Kriptogr., 10:2 (2019), 97–106

Citation in format AMSBIB
\Bibitem{KarNagEgh19}
\by S.~Karimani, Z.~Naghdabadi, T.~Eghlidos, M.~R.~Aref
\paper An LWE-based verifiable threshold secret sharing scheme
\jour Mat. Vopr. Kriptogr.
\yr 2019
\vol 10
\issue 2
\pages 97--106
\mathnet{http://mi.mathnet.ru/mvk287}
\crossref{https://doi.org/10.4213/mvk287}


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