Multi secret sharing scheme based on Hermitian interpolation (New contact points of algebraic systems, logics, languages, and computer sciences)
智子 足立 · Kyoto University Research Information Repository (Kyoto University) · 2015
A threshold scheme, which is introduced by Shamir in 1979, is very famous as a secret sharing scheme.Dealer distribute shares of a secret value among $n$ participants.Gathering $t(\leq n)$ participants, a se- cret value can be reconstructed.This is called $a(t, n)$ secret sharing scheme.This scheme is based on Lagrange's interpolation formula.As regard interpolation formula, it is known not only Lagrange's interpola- tion but also Hermite interpolation.In this paper, we give a scheme of a secret sharing scheme based on Hermite interpolation, in case of two secret values.