基于ISRSAC-PSS算法的可证安全分组顺序聚合签名算法

doi:10.3969/j.issn.1671-1122.2025.02.003

摘要/Abstract

摘要：

文章深入研究了可证明安全理论、顺序聚合签名算法及聚合签名技术，针对已有的基于ISRSAC-PSS算法的可证明安全顺序聚合签名算法进行改进，引入“分组型”理念，设计了基于ISRSAC-PSS的分组顺序聚合签名算法，经分析可知，该算法在基于大整数分解问题的困难性假设下，可以证明在随机预言模型下是安全的。计算分析得出，在分组合理的情况下，该算法不仅在效率上得到提高，还节省了算法的应用开销。

关键词: 顺序聚合签名, 分组型, 随机预言模型, ISRSAC, 安全性

Abstract:

This paper conducted an in-depth study on provable security theory, sequential aggregate signature algorithms and aggregate signature technology. By improved the existing provably secure sequential aggregate signature algorithm based on the ISRSAC-PSS scheme, introduced a "block-type" concept and design a block sequential aggregate sig-nature algorithm based on ISRSAC-PSS. The analysis demonstrates that, under the hardness assumption of the large integer factorization problem, the proposed algorithm is provably secure in the random oracle model. Computational analysis reveals that with reasonable grouping strategies, the algorithm not only enhances efficiency but also reduces application overhead.

Key words: sequential aggregate signature, block-type, random oracle model, ISRSAC, security

中图分类号:

TP309

张艳硕, 隋吉达, 严梓洋, 袁煜淇. 基于ISRSAC-PSS算法的可证安全分组顺序聚合签名算法[J]. 信息网络安全, 2025, 25(2): 215-227.

ZHANG Yanshuo, SUI Jida, YAN Ziyang, YUAN Yuqi. A Provably Secure Block Sequential Aggregate Signature Algorithm Based on ISRSAC-PSS Algorithm[J]. Netinfo Security, 2025, 25(2): 215-227.

图/表 2

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算法名称	签名时间/ms	验证时间/ms
PSS-AGS^[27]	10.5	0.5×k
IBSAS^[28]	5.8	12×(k+1)
GAS^[1]	2.2	8×(k+1)