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2020 New generalized secret-sharing schemes with points on a hyperplane using a Wronskian matrix
Weston Loucks, Bahattin Yildiz
Involve 13(2): 257-279 (2020). DOI: 10.2140/involve.2020.13.257

Abstract

A new secret-sharing scheme is constructed using elementary tools from different fields of mathematics. A method is introduced which uses the assignment of points on a hyperplane, serving as terminal points of vectors which meet an outlined criterion for linear independence. Submatrices of a Wronskian matrix are used in the assignment of these points. This method is also generalized to include a weighted scheme and a multilevel hierarchical model.

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Weston Loucks. Bahattin Yildiz. "New generalized secret-sharing schemes with points on a hyperplane using a Wronskian matrix." Involve 13 (2) 257 - 279, 2020. https://doi.org/10.2140/involve.2020.13.257

Information

Received: 19 April 2019; Revised: 16 December 2019; Accepted: 24 February 2020; Published: 2020
First available in Project Euclid: 25 June 2020

zbMATH: 1434.94073
MathSciNet: MR4080494
Digital Object Identifier: 10.2140/involve.2020.13.257

Subjects:
Primary: 94A60
Secondary: 11T71, 34A30

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.13 • No. 2 • 2020
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