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Jackson, W.A., Martin, K.M. and O’Keefe, C.M. (1995) On Sharing Many Secrets. Advances in Cryptology— ASIACRYPT’94, 917, 42-54.

has been cited by the following article:

• TITLE: A Multi-Secret Sharing Scheme with Many Keys Based on Hermite Interpolation

  AUTHORS: Tomoko Adachi, Chie Okazaki

  KEYWORDS: Secret Sharing Scheme, Multi Secret Sharing Scheme, Hermite Interpolation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.13, December 23, 2014

  ABSTRACT: A secret sharing scheme is one of cryptographies. A threshold scheme, which is introduced by Shamir in 1979, is very famous as a secret sharing scheme. We can consider that this scheme is based on Lagrange's interpolation formula. A secret sharing scheme has one key. On the other hand, a multi-secret sharing scheme has more than one keys; that is, a multi-secret sharing scheme has p (≥2) keys. Dealers distribute shares of keys among n participants. Gathering t (≤n) participants, keys can be reconstructed. In this paper, we give a scheme of a (t,n) multi-secret sharing based on Hermite interpolation, in the case of p≤t.