Geodesic
Constructions of ideal secret sharing schemes
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 41-42

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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. 
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     author = {N. V. Medvedev and S. S. Titov},
     title = {Constructions of ideal secret sharing schemes},
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     url = {http://geodesic.mathdoc.fr/item/PDMA_2013_6_a20/}
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N. V. Medvedev; S. S. Titov. Constructions of ideal secret sharing schemes. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 41-42. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a20/