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Prikladnaya Diskretnaya Matematika. Supplement, 2013, Issue 6, Pages 41–42 (Mi pdma102)  
Mathematical Methods of Cryptography

Constructions of ideal secret sharing schemes

N. V. Medvedev, S. S. Titov

Urals State University of Railway Transport
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Abstract: Linear homogeneous ideal secret sharing schemes are considered. The construction of such schemes is given over any field GF$(q)$. By adding participants it is shown that such schemes are reduced to schemes on projective spaces.
Keywords: homogeneous secret sharing schemes, matroids, Reed–Muller code.
Document Type: Article
UDC: 519.151, 519.725, 519.165
Language: Russian
Citation: N. V. Medvedev, S. S. Titov, “Constructions of ideal secret sharing schemes”, Prikl. Diskr. Mat. Suppl., 2013, no. 6, 41–42
Citation in format AMSBIB
\Bibitem{MedTit13}
\by N.~V.~Medvedev, S.~S.~Titov
\paper Constructions of ideal secret sharing schemes
\jour Prikl. Diskr. Mat. Suppl.
\yr 2013
\issue 6
\pages 41--42
\mathnet{http://mi.mathnet.ru/pdma102}
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