How to Build Robust Shared Control Systems
Designs, Codes and Cryptography
On sharing secrets and Reed-Solomon codes
Communications of the ACM
Communications of the ACM
The access structure of some secret-sharing schemes
ACISP '96 Proceedings of the First Australasian Conference on Information Security and Privacy
CRYPTO '94 Proceedings of the 14th Annual International Cryptology Conference on Advances in Cryptology
Secret sharing schemes from linear codes
Secret sharing schemes from linear codes
Minimal vectors in linear codes
IEEE Transactions on Information Theory
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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.