A novel dynamic and verifiable secret sharing scheme based on linear codes

Lai Hong · Journal of Shaanxi Normal University · 2010

Give out minimal linear code is defined,for a class of special subcode of minimal linear codes ,a new class of minimal linear codes is constructed by deleting one coordinator of all code words.Furthermore,we define minimal linear code chain and prove that if C is an minimal linear code and the minimal distance of C⊥ is larger than 2,then a minimal linear code chain can be constructed by this method.Based on the minimal linear code chain,a novel dynamic and verifiable secret sharing scheme is proposed.Compared with the former(t,n) threshold secret-sharing scheme,the proposed scheme not only has more interesting access structure,but also is of higher security and practicality.

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