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arxiv: 1310.4640 · v1 · pith:RACHRVSRnew · submitted 2013-10-17 · 💻 cs.CR · math.CO

Secret sharing on the d-dimensional cube

classification 💻 cs.CR math.CO
keywords dimensionalcubeinformationproveratiosecretsharingbest
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We prove that for $d>1$ the best information ratio of the perfect secret sharing scheme based on the edge set of the $d$-dimensional cube is exactly $d/2$. Using the technique developed, we also prove that the information ratio of the infinite $d$-dimensional lattice is $d$.

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