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为了解决单密钥共享方案在管理多个密钥时出现的效率和成本等问题,论文提出了一种简单实用的多密钥共享方案。该方案的基本思想是利用拉格朗日插值多项式同时恢复一个多项式的系数来实现多密钥的共享。通过对多密钥共享方案实现原理的分析,论文还推导了计算多个密钥的恢复公式,并通过具体例子验证了多密钥共享方案的正确性和可行性。
In order to solve the single-key sharing scheme in the management of multiple keys appear efficiency and cost issues, the paper presents a simple and practical multi-key sharing scheme. The basic idea of the scheme is to use the Lagrange interpolation polynomial to recover the coefficients of a polynomial to achieve the multi-key sharing. Through the analysis of the realization principle of multi-key sharing scheme, the paper also deduces the recovery formula for calculating multiple keys and verifies the correctness and feasibility of multi-key sharing scheme through concrete examples.