基于线性分组码的(k,n)门限方案的研究

Research of (k,n) Threshold Scheme Based on Linear Block Code

首先探讨了纠错码与(k,n)门限方案间的内在联系,然后分析了(n,k)MDS码用于构造(k,n)门限方案的充要条件及具体方法;给出了纠错码门限方案的几个重要定理和构造(k,n)门限方案的方法。

This paper first discusses the internal relations between the error correcting code and the （k, n） threshold scheme, and then reveals the necessary condition and specific methods for constructing the （k,n） threshold scheme by using the MDS code, gives several important theorems for threshold scheme based on the error correcting code and the method for constructing the （k,n） threshold scheme.