A verifiable multi-secret sharing (VMSS) scheme allows distributors to share multiple secrets simultaneously and can detect fraud by both distributors and participants. After analysing the security of the VMSS schemes proposed by Dehkordi and Mashhadi in 2015, the authors point out that they could not detect the fraudulent behaviour of the dealer. By using the non-homogeneous linear recursion and linear feedback shift rigister (LFSR) public key cryptosystem, they introduce two new VMSS schemes. The proposed schemes can not only overcome the defects mentioned above, but also have shorter private and public key lengths at the same level of security. Besides, the proposed schemes are dynamic.

中文翻译：

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基于LFSR公钥密码系统的新的动态可验证多秘密共享方案

可验证的多秘密共享（VMSS）方案允许分发者同时共享多个秘密，并且可以检测分发者和参与者的欺诈行为。在分析了Dehkordi和Mashhadi在2015年提出的VMSS计划的安全性之后，作者指出他们无法检测到经销商的欺诈行为。通过使用非均匀线性递归和线性反馈移位加严（LFSR）公钥密码系统，他们引入了两种新的VMSS方案。所提出的方案不仅可以克服上述缺陷，而且在相同安全级别下具有较短的私钥和公钥长度。此外，所提出的方案是动态的。