3个秘密共享方案的弱点分析与改进

Weaknesses Analysis and Improvement of Three Secret Sharing Schemes

通过对秘密共享的研究与分析,发现现有的秘密共享方案几乎都有其弱点,导致这些方案不能在实际中得到应用。分析3个秘密共享方案,指出它们各自存在的安全漏洞,并通过系统初始化、秘密份额生成和验证、秘密承诺生成和恢复等对刘锋等人的方案(计算机应用研究,2008年第(1)期)进行改进。结果表明,改进后的方案克服了原有方案的缺点,是一个安全的可验证的秘密共享方案。

Through the research and analysis of secret sharing, it is found that all the existing secret sharing schemes have weaknesses, thus results in these schemes be not applied. Three secret sharing schemes arc analyzed and the secure hole of them is pointed, through system initialization, secret part building and validating, secret acceptance building and recovery, Liut^ng et al scheme（application research computers, 2008,（1）） is improved. Result shows that the improved scheme overcomes the security problem of the original scheme, and it is a safe verifiable secret sharing scheme.