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一个基于椭圆曲线的秘密共享方案
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2009-06-19
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椭圆曲线上的点构成的代数系统可以为密码学提供多种应用方案，本文基于椭圆曲线的数字签名方案给出了一个秘密共享方案，并对该方案的安全性进行了分析。该方案的安全性建立在离散对数问题上，目前已知的攻击椭圆曲线对数问题的算法仍然是指数时间。
关键词：秘密共享；秘密份额；门限方案；椭圆曲线
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
关键词：秘密共享；秘密份额；门限方案；椭圆曲线
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
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