The General Structure of Secret Sharing Scheme

Zhao Yu-juan · 2011

After analysising some typical secret sharing schemes,especially the(t-n) threshold secret sharing scheme,we find that the majority of secret sharing scheme can be attributed to vector space secret sharing scheme,and these schemes have a common feature that all of them contains a matrix of(t×n) with any t columns is linearly independent.This paper gives the general method to design secret sharing scheme in vector space through the analysis of the matrix.Then a simple method is proposed to construct the matrix,we design a scheme for multi-secret sharing with such matrix.

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