New generalized secret-sharing schemes with points on a hyperplane using a wronskian matrix

Weston Loucks; Bahattin Yildiz

doi:10.2140/involve.2020.13.257

New generalized secret-sharing schemes with points on a hyperplane using a wronskian matrix

Weston Loucks, Bahattin Yildiz

Informatics, Computing, and Cyber Systems, School of

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	257-279
Number of pages	23
Journal	Involve
Volume	13
Issue number	2
DOIs	https://doi.org/10.2140/involve.2020.13.257
State	Published - 2020

Keywords

Generalized cross product
Hierarchical secret-sharing schemes
Hyperplane
Secret-sharing schemes
Wronskian

ASJC Scopus subject areas

General Mathematics

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Cite this

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New generalized secret-sharing schemes with points on a hyperplane using a wronskian matrix

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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