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Some Multisecret-Sharing Schemes over Finite Fields

Author

Listed:
  • Selda Çalkavur

    (Math Department, Köseköy Vocational School, Kocaeli University, 41135 Kocaeli, Turkey)

  • Patrick Solé

    (I2M, Aix Marseille University, Centrale Marseille, CNRS, 12M, 163 Avenue de Luminy, 13009 Marseille, France)

Abstract

A secret sharing scheme is a method of assigning shares for a secret to some participants such that only some distinguished subsets of these subsets can recover the secret while other subsets cannot. Such schemes can be used for sharing a private key, for digital signatures or sharing the key that can be used to decrypt the content of a file. There are many methods for secret sharing. One of them was developed by Blakley. In this work, we construct a multisecret-sharing scheme over finite fields. The reconstruction algorithm is based on Blakley’s method. We determine the access structure and obtain a perfect and ideal scheme.

Suggested Citation

  • Selda Çalkavur & Patrick Solé, 2020. "Some Multisecret-Sharing Schemes over Finite Fields," Mathematics, MDPI, vol. 8(5), pages 1-7, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:654-:d:350320
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