橢圓曲線上的點構(gòu)成的代數(shù)系統(tǒng)可以為密碼學(xué)提供多種應(yīng)用方案，本文基于橢圓曲線的數(shù)字簽名方案給出了一個秘密共享方案，并對該方案的安全性進行了分析。該方案的安全性建立在離散對數(shù)問題上，目前已知的攻擊橢圓曲線對數(shù)問題的算法仍然是指數(shù)時間。
關(guān)鍵詞：秘密共享；秘密份額；門限方案；橢圓曲線
Abstract：The algebraic system defined on the points of an elliptic curve can be used to construct various cryptographic schemes. This paper presented a secret sharing scheme based on digital signature of elliptic curve, and the security of scheme is analyzed. The security of cryptosystem using elliptic cure hinged on the intractability of the discrete logarithm problem in the algebraic system over elliptic curve points. The best algorithm known to date takes exponential time.
Key words：Secret Sharing; Secret Shares; threshold Schemes; ECC