A New Secret Sharing Scheme Based on Hermite Interpolation and Folded Magic Cube Rules

Abstract

AbstractIn this paper, a modern secret sharing scheme has been proposed that deal with set of variables points along specific polynomial. The main idea is to establish the dimension of magic cube into a secret point at a Lagrange polynomial equation. The secret value can be reconstructed from set of cooperated dealers or participants according to predefined threshold. The core idea is how to reconstruct a full magic cube of six dimensions across single key solution. The proposed method adopted Hermite mathematical comprehension that allows minimum number of participants with k-points under definition of a polynomial with degree k – 1 to reconstruct the secret properly. The proposed scheme supposed each dealer has his own share and any group of shareholders at the decided threshold together they can recover the secret. The proposed idea gave a good implementation and fast secret recovery with new mathematical orientation.KeywordsShamir’s secret sharingMagic squareMagic cubeHermite interpolationLagrange