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格上基于身份的可链接环签名方案

中文摘要英文摘要

为了抵抗量子算法的攻击和应对恶意签名者利用环签名技术的完全匿名性输出多个签名从而进行双重开销攻击这一缺陷,同时为了解决不必要的系统开销浪费问题,提出了一种新的格上基于身份的可链接环签名方案。该方案以格上近似最短向量问题为安全基础,将该问题的求解规约于碰撞问题的求解,利用矩阵向量间的线性运算生成签名,同时结合了基于身份的密码技术。解决了系统开销浪费问题,不涉及陷门生成和高斯采样等复杂算法,提高了签名效率,降低了存储开销,并在随机预言模型下验证了方案满足完全匿名性和强存在不可伪造性。经分析,该方案是一个安全高效的环签名方案。

In order to resist the attack of quantum algorithm and deal with the defect that malicious signers can output multiple signatures using the complete anonymity of ring signature technology to carry out double overhead attack, and to solve the unnecessary waste of system overhead, this paper proposed a new identity-based linkable ring signature scheme form lattice. The scheme takes the approximate shortest vector problem on the lattice as the security basis, reduces the solution of the problem to the solution of the collision problem, generates the signature by using the linear operation between matrix vectors, and combines the identity-based cryptography technology. It solved the problem of system overhead waste, does not involve complex algorithms such as trapdoor generation and Gaussian sampling, improves the signature efficiency and reduces the storage overhead. It is verified that the scheme meets the requirements of complete anonymity and strong unforgeability under the random oracle model. After analysis, the scheme is a secure and efficient ring signature scheme.

刘梦情、汪学明

10.12074/202205.00128V1

计算技术、计算机技术

可链接环签名基于身份的密码体制随机预言模型

刘梦情,汪学明.格上基于身份的可链接环签名方案[EB/OL].(2022-05-18)[2025-08-16].https://chinaxiv.org/abs/202205.00128.点此复制

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