Multi dimensional compartment schemes

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Abstract

We define a multi dimensional compartment scheme, which is a secret sharing scheme where each participant acts not only as a member of one party, but as a representative of one party on each dimension. The secret can be reconstructed whenever on each dimension at least one representative of a predetermined number of distinct parties contribute its private share. It is also shown how a non-complete multi dimensional compartment scheme can be realized.

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Maucher, J. (1997). Multi dimensional compartment schemes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1355, pp. 233–238). Springer Verlag. https://doi.org/10.1007/bfb0024468

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