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将含有3条超边的超圈存取结构分为两类:一类是任意一条超边都没有属于自己的独立点集;另一类是至少存在一条超边有属于自己的独立点集。对第一类超圈存取结构,用Shamir方案构造了一个理想的秘密共享方案,从而证明了其最优信息率等于1;对第二类超圈存取结构用信息论和λ-分解方法证明了其最优信息率等于2/3。给出了参与者人数为6、7且含有3条超边共86种互不同构的超圈存取结构,并计算了其最优信息率。
There are two types of super-circle access structures with three super-edges: one is that any super-edge does not have its own set of independent points; the other is at least one super-edge has its own set of independent points. For the first type of super-ring access structure, an ideal secret sharing scheme is constructed by using the Shamir scheme, which proves that the optimal information rate is equal to 1. The information theory and the λ-decomposition method for the second type of super-ring access structure are proved The optimal information rate is equal to 2/3. In this paper, we give the super-ring access structure with 86 participants and 6 superstructures and 3 super-sides, and calculate the optimal information rate.