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本文首次明确指出了保密学中的秘密分享问题与纠错编码中的 MDS 码之间存在着本质的联系。实际上利用每一个 MDS 码的生成矩阵或校验矩阵都可以得到一种分享秘密的方法。接着我们综述了 MDS 码理论中对秘密分享有用的结果。
This article for the first time clearly points out that there is an essential relationship between the secret sharing problem in confidential learning and the MDS code in error-correcting coding. In fact, the use of each MDS code generator matrix or check matrix can be a way to share the secret. Then we review the useful results of secret sharing in MDS code theory.