This paper first extends the result of Blakley and Kabatianski [3] to general non-perfect SSS using information-theoretic arguments. Furthermore, we refine Okada and Kurosawa’s lower bound [12] into a more precise information-theoretic characterization of non-perfect secret sharing idealness. We establish that in the light of this generalization, ideal schemes do not always have a matroidal morphology. As an illustration of this result, we design an ad-hoc ideal non-perfect scheme and analyze it in the last section.
CITATION STYLE
Paillier, P. (1998). On ideal non-perfect secret sharing schemes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1361, pp. 207–216). Springer Verlag. https://doi.org/10.1007/bfb0028171
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