摘要： 研究基于椭圆曲线的多秘密共享方案，发现其在多秘密共享时无法保证安全性，而且不能抵抗窃听和欺骗攻击。为此，给出一种改进的多秘密共享方案，该方案对于不同的秘密，采用随机的加密参数，以保证多个秘密同时共享时的安全性，通过加密发送的信息对抗窃听攻击，对参与者进行身份认证，从而有效抵御抗欺骗攻击。分析结果表明，与原方案相比，该方案具有更高的安全性。

关键词: 密码学, 椭圆曲线, 秘密共享, 自双线性配对

Abstract: This paper studies a multi-secret sharing scheme based on elliptic curve, and finds that it is not safe when multiple secrets are shared and the scheme can not resist the interception and cheat. So an advanced scheme is proposed, in the advanced scheme, the encryption parameters for each secret are different, the distribute information is encrypted, and the participants are authenticated, it can resist the interception and cheat effectively. Analysis results show that the scheme has good security compared with old scheme.

Key words: cryptography, elliptic curve, secret sharing, self-bilinear paring

中图分类号: 

• TP319