Published September 28, 1997 | Version v1

Linear Multisecret-Sharing Schemes and Error-Correcting Codes

  • 1. Dept of Information Systems & Computer Science; National University of Singapore, Singapore
  • 2. Department of Mathematics, University of Turku, Turku, Finland

Description

In this paper a characterization of the general relation between linear multisecret-sharing schemes and error-correcting codes is presented. A bridge between linear multisecret-sharing threshold schemes and maximum distance separable codes is set up. The information hierarchy of linear multisecret-sharing schemes is also established. By making use of the bridge several linear multisecret-sharing threshold schemes based on Reed-Solomon codes, generalized Reed-Solomon codes, Bossen-Yau redundant residue codes are described, which can detect and correct cheatings. The relations between linear multisecret-sharing threshold schemes and some threshold schemes for single-secret sharing are pointed out.

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