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Article

Some Multisecret-Sharing Schemes over Finite Fields

1
Math Department, Köseköy Vocational School, Kocaeli University, 41135 Kocaeli, Turkey
2
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; https://doi.org/10.3390/math8050654
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. https://doi.org/10.3390/math8050654

AMA Style

Çalkavur S, Solé P. Some Multisecret-Sharing Schemes over Finite Fields. Mathematics. 2020; 8(5):654. https://doi.org/10.3390/math8050654

Chicago/Turabian Style

Çalkavur, Selda, and Patrick Solé. 2020. "Some Multisecret-Sharing Schemes over Finite Fields" Mathematics 8, no. 5: 654. https://doi.org/10.3390/math8050654

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