Sharing several secrets based on Lagrange's interpolation formula and Cipher feedback mode

author

  • A. Cheraghi Faculty of Mathematics & Computer, Khansar, University of Isfahan, Isfahan, Iran.
Abstract:

In a multi-secret sharing scheme, several secret values are distributed among a set of n participants.In 2000 Chien et al.'s proposed a (t; n) multi-secret sharing scheme. Many storages and publicvalues required in Chien's scheme. Motivated by these concerns, some new (t; n) multi-secret sharingschemes are proposed in this paper based on the Lagrange interpolation formula for polynomials andcipher feedback mode (CFB), which are easier than Chien's scheme in the secret reconstruction andrequire fewer number of public values and storages than Chien's scheme. Also our schemes don'tneed any one-way function and any simultaneous equations.

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Journal title

volume 5  issue 2

pages  60- 66

publication date 2014-07-01

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