Abstract
A linear code is optimal if the length of code is the shortest among all linear codes which realize the given access structure. It is a difficult problem how to obtain the optimal linear code for any access structure. In this paper, we firstly construct the optimal linear codes for realizing any given non-threshold multi-access structures over finite field Fq. Then, based on our optimal linear code, we construct the optimal linear multi-secret sharing scheme for any non-threshold multi-access structure.
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