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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.
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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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