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New generalized
secret-sharing schemes with points on a hyperplane using a
Wronskian matrix
Weston Loucks and Bahattin Yildiz
Vol. 13 (2020), No. 2, 257–279
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Abstract |
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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. |
Keywords
secret-sharing schemes, hyperplane, Wronskian, hierarchical
secret-sharing schemes, generalized cross product
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Mathematical Subject Classification 2010
Primary: 94A60
Secondary: 11T71, 34A30
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Milestones
Received: 19 April 2019
Revised: 16 December 2019
Accepted: 24 February 2020
Published: 30 March 2020
Communicated by Kenneth S. Berenhaut
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Authors |
| Weston Loucks | |
| Department of Mathematics and
Statistics Northern Arizona University Flagstaff, AZ United States |
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| Bahattin Yildiz | |
| Department of Mathematics and
Statistics Northern Arizona University Flagstaff, AZ United States |
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