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Some Multisecret-Sharing Schemes over Finite Fields

Math Department, Köseköy Vocational School, Kocaeli University, 41135 Kocaeli, Turkey
I2M, Aix Marseille University, Centrale Marseille, CNRS, 12M, 163 Avenue de Luminy, 13009 Marseille, France
Author to whom correspondence should be addressed.
Mathematics 2020, 8(5), 654;
Received: 29 March 2020 / Revised: 21 April 2020 / Accepted: 22 April 2020 / Published: 25 April 2020
(This article belongs to the Special Issue The Cryptography of Cryptocurrency)
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. View Full-Text
Keywords: secret sharing; multisecret-sharing scheme; finite field; vector space secret sharing; multisecret-sharing scheme; finite field; vector space
MDPI and ACS Style

Çalkavur, S.; Solé, P. Some Multisecret-Sharing Schemes over Finite Fields. Mathematics 2020, 8, 654.

AMA Style

Çalkavur S, Solé P. Some Multisecret-Sharing Schemes over Finite Fields. Mathematics. 2020; 8(5):654.

Chicago/Turabian Style

Çalkavur, Selda, and Patrick Solé. 2020. "Some Multisecret-Sharing Schemes over Finite Fields" Mathematics 8, no. 5: 654.

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