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Secret Sharing and Shared Information. (arXiv:1706.06998v1 [cs.IT])
来源于:arXiv
Secret sharing is a cryptographic discipline in which the goal is to
distribute information about a secret over a set of participants in such a way
that only specific authorized combinations of participants together can
reconstruct the secret. Thus, secret sharing schemes are systems of variables
in which it is very clearly specified which subsets have information about the
secret. As such, they provide perfect model systems for information
decompositions. However, following this intuition too far leads to an
information decomposition with negative partial information terms, which are
difficult to interpret. One possible explanation is that the partial
information lattice proposed by Williams and Beer is incomplete and has to be
extended to incorporate terms corresponding to higher order redundancy. These
results put bounds on information decompositions that follow the partial
information framework, and they hint at where the partial information lattice
needs to be improved. 查看全文>>