A certificateless ring signature scheme based on lattice

Songshou Dong, Yihua Zhou, Yuguang Yang, Yanqing Yao
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Abstract

For the problems that ring signature needs key escrow, has some security risks, and cannot avoid malicious key generation center (KGC) in the post‐quantum era, we design a certificateless ring signature scheme based on lattice (L‐CRSS). In our scheme, the bimodal Gaussian distribution is used to improve the security and efficiency. Compared with the previous ring signature scheme based on lattice, our design does not need key escrow, does not disclose the signer's identity, can avoid malicious KGC, achieves the constant signature size, and has higher security and efficiency in the post‐quantum era. Finally, under random oracle model (ROM), we prove that our scheme is anonymous against the full‐key exposure, and existentially unforgeable against adaptive chosen message attacks (EUF‐CMA).
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基于格的无证书环签名方案
针对后量子时代环签名需要密钥托管、存在一定安全风险、无法避免恶意密钥生成中心(KGC)等问题,设计了一种基于格的无证书环签名方案(L - CRSS)。在我们的方案中,采用双峰高斯分布来提高安全性和效率。与以往基于格的环签名方案相比,我们的设计不需要密钥托管,不泄露签名者的身份,可以避免恶意的KGC,实现签名大小不变,在后量子时代具有更高的安全性和效率。最后,在随机oracle模型(ROM)下,我们证明了我们的方案对全密钥暴露是匿名的,对自适应选择消息攻击(EUF - CMA)是存在不可伪造的。
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