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 .