Some Multisecret-Sharing Schemes over Finite Fields

Selda Çalkavur , Patrick Solé (1)

1 I2M - Institut de Mathématiques de Marseille

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.

Mots clés: secret sharing; multisecret-sharing scheme; finite field; vector space

Domaines: Mathématiques [math]; Informatique [cs]; Cryptographie et sécurité [cs.CR]

Selda Çalkavur, Patrick Solé. Some Multisecret-Sharing Schemes over Finite Fields. Mathematics , 2020, ⟨10.3390/math8050654⟩. ⟨hal-02553818⟩