Yj. Song et al., SECRET SHARING SCHEMES BASED ON COMBINATORIAL DESIGNS, Electronics and communications in Japan. Part 3, Fundamental electronic science, 78(10), 1995, pp. 20-26
In secret-sharing schemes, a secret s is encoded as v(1), ..., v(n) an
d v(i) is distributed to member P-i. By the access sets, we mean exact
ly those subsets of {P-i} which can recover the secret s. Previous sec
ret-sharing schemes have utilized the methods of polynomial interpolat
ion [20] and projective geometry [6], among others. In this paper we s
how how to obtain secret-sharing schemes from combinatorial designs, i
ncluding orthogonal arrays (OAs) and t - (v, k, 1) designs.