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    一个改进的基于门限RSA签名的虚拟企业安全交互模型

    An Improved VCA Interaction Model for Virtual Enterprises Based on Threshold RSA Signature

    • 摘要: 针对L-P虚拟企业安全交互模型进行了深入分析,指出该方案由于没有考虑到RSA密钥结构的特殊性,直接在整数模φ(N)剩余类环Z\-φ(N)上实现分布式门限签名,因此存在代数构造问题.在此基础上,对L-P方案进行修正和改进,通过引入参数π并将环Z\-φ(N)中部分运算转换到整数环Z上,从而有效避免了环Z\-φ(N)中求逆及秘密参数泄露问题.理论分析证明:新方案为基于门限RSA签名机制实现虚拟企业的安全交互提供了正确可行的算法模型.

       

      Abstract: In this paper, the VCA interaction scheme for VE presented by Liu and Pan (for short, L-P scheme) is firstly analyzed, and it is found that a plain secret sharing method was directly used to construct the threshold RSA signature and the key distribution algorithms in the ring Z\-φ(N), which inevitably causes some algebraic construction flaws, i.e. incalculableness of elements’ inverses, unexpected decomposition of the module N, and the leakage of system secrets. In order to remedy L-P scheme’s drawbacks, a new improved scheme is then presented, in which a new parameter π is introduced to avoid computing of some particular elements’ inverses in the ring Z\-φ(N) since it is the multiple of these elements. And consequently the important parameter exp can be computed in the integer ring Z other than the residue ring Z\-φ(N) since it is the exponential component in the function of SIG which is in Z\-N. Analysis shows that the new scheme can effectively avoid any inverse’s computing in any ring, and can furthermore avoid the unexpected decomposition of the module N and the leakage of secret parameters. In addition, the proposed scheme is more efficient than the L-P scheme in the VCA sub-keys redistribution stage. Therefore, the new improved scheme provides a correct and feasible VCA interaction model for VE based on RSA threshold signature mechanism.

       

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