Remarks on the Multiple
نویسندگان
چکیده
The paper analyses the multiple assignment secret sharing scheme, presented at the GLOBECOM'87 Conference. It contains three technical comments and a contribution to extend the capabilities of Shamir scheme. 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 deened 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., unauthorised sets of participants can recover the secret. Finally, we will show how to (safely) extend a Shamir scheme. Abstract The paper analyses the multiple assignment secret sharing scheme, presented at the GLOBECOM'87 Conference. It contains three technical comments and a contribution to extend the capabilities of Shamir scheme. 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 deened 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., unauthorised sets of participants can recover the secret. Finally, we will show how to (safely) extend a Shamir scheme.
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