Remarks on the multiple assignment secret sharing scheme

Abstract

The paper analyses the multiple assignment secret sharing scheme, presented at the GLOBECOM'87 Conference, and contains three technical comments. First it is proved that the proposed multiple assignment secret sharing scheme is not perfect. In fact, the non-perfectness of the scheme is due to the non-perfectness of a certain type of Shamir secret sharing scheme defined in the paper. Next, it is shown that both the extended multiple assignment secret sharing scheme and the extended Shamir secret sharing scheme are not secure, i.e., unauthorized sets of participants can recover the secret.