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L. Csirmaz:

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Secret sharing in the *d*-dimensional cube

We prove that for *d*> 1 the information rate of the perfect secret
sharing scheme based on the edge set of the *d*-dimensional cube is
exactly 2/*d*. Using the technique developed, we also prove that the
information rate of the infinite *d*-dimensional lattice is 1/*d*.
**Key words:** Secret sharing scheme, polymatroid, information
theory.