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Lattice-based proxy signature scheme with reject sampling method

机译:基于格的代理签名方案与拒绝采样方法

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摘要

A proxy signature scheme permits an entity to delegate its signing rights to another. Proxy signature scheme has been widely used in numerous applications. This paper proposed a proxy signature scheme based on lattice cryptography which is different from traditional proxy signature schemes. This scheme combines the idea of the traditional proxy signature and the lattice-based signature together. The security of the proposed scheme is based on the Short Integer Solution (SIS) problem, the proposed proxy signature scheme has smaller key size and lower computation cost. We use the Bimodal Gaussian Distribution, Reject Sampling, Hash matrix and other technologies to extend the original digital signature scheme to the proxy signature scheme. In this paper we will give the security proof of the proxy signature scheme. Moreover, since the key construction of the scheme is based on the operation of the ring, so the public and private key size can be greatly shrunk.
机译:代理签名方案允许一个实体将其签名权委托给另一个实体。代理签名方案已被广泛用于许多应用中。提出了一种基于格加密的代理签名方案,与传统的代理签名方案不同。该方案将传统代理签名和基于格的签名的思想结合在一起。所提出方案的安全性基于短整数解决方案(SIS)问题,所提出的代理签名方案具有较小的密钥大小和较低的计算成本。我们使用双峰高斯分布,拒绝采样,哈希矩阵等技术将原始数字签名方案扩展到代理签名方案。在本文中,我们将提供代理签名方案的安全性证明。此外,由于该方案的密钥构造基于环的操作,因此可以大大缩小公钥和私钥的大小。

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