Article ID Journal Published Year Pages File Type
4582887 Finite Fields and Their Applications 2014 16 Pages PDF
Abstract
We consider Lai-Ding's secret sharing schemes, with the secret placed as a coefficient ai in f(x)=a0xc0+⋯+ak−1xck−1, and private shares obtained by applying f to the sequence of public identities t=(t0,…,tn−1)∈Fqn. In this setting, we focus on such sequences t for which the scheme turns out to be k-threshold. We prove certain quantitative properties of such sequences which generalize some of the results obtained by Schinzel et al. for the particular case of Shamir's type schemes.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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