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基于标准格的层次全同态签名

发布时间:2018-10-19 16:09
【摘要】:为了支持任意电路上签名数据同态运算,本文利用陷门采样技术,基于与门和异或门构造了一个只受电路深度和安全参数影响的层次全同态签名方案。电路生成的新签名具有公开可验证性,新签名尺寸与电路尺寸以及原签名数据的尺寸无关。方案在标准模型下基于格上最短整数解困难问题可证安全。用户可以在不知道私钥的情况下进行指定签名集合中签名的层次全同态运算,已有的研究还主要集中在线性同态方案和多项式同态方案。
[Abstract]:In order to support the homomorphism operation of signature data on arbitrary circuits, a hierarchical homomorphic signature scheme based on gate and XOR gates is constructed based on trapdoor sampling technique, which is only affected by circuit depth and security parameters. The new signature generated by the circuit is publicly verifiable, and the size of the new signature is independent of the size of the circuit and the size of the original signature data. The scheme is provable security based on the shortest integer solution on the lattice under the standard model. Users can perform the hierarchical homomorphism operation of the signature in the specified signature set without knowing the private key. The existing researches mainly focus on the linear homomorphism scheme and the polynomial homomorphism scheme.
【作者单位】: 哈尔滨工程大学计算机科学与技术学院;哈尔滨工程大学教务处;哈尔滨工程大学国家保密学院;
【基金】:国家自然科学基金项目(61170241,61472097)
【分类号】:TN918.91

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