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A verifiable multi-secret sharing (VMSS) scheme enables the dealer to sharemultiple secrets, and the deception of both participants and the dealer can bedetected. After analyzing the security of VMSS schemes proposed by Mashhadi andDehkordi in 2015, we illustrate that they cannot detect some deception of thedealer. By using nonhomogeneous linear recursion and LFSR public keycryptosystem, we introduce two new VMSS schemes. Our schemes can not onlyovercome the drawback mentioned above, but also have shorter private/public keylength at the same safety level. Besides, our schemes have dynamism.

New dynamic and verifiable multi-secret sharing schemes based on LFSR public key cryptosystem