A construction method of secret sharing schemes based on authorized subsets

We propose a construction method of secret sharing schemes realizing general access structures. Our proposed construction method is a perfect secret sharing scheme and includes Shamir´s (k; n)-threshold schemes as a special case. Furthermore, for any access structure, the proposed construction method is more efficient than Benaloh and Leichter´s scheme and Tochikubo, Uyematsu and Matsumoto´s scheme I .