计算机科学 ›› 2022, Vol. 49 ›› Issue (12): 346-352.doi: 10.11896/jsjkx.211200101
田陈1, 王志伟1,2,3
TIAN Chen1, WANG Zhi-wei1,2,3
摘要： 目前应用于共识机制场景下的多重签名方案默认签名者为诚实实体,因此在恶意节点存在时无法保证签名安全有效。为了结合身份基密码体制与多重签名的优势,并提高多重签名在共识机制应用中对抗场景下的鲁棒性,文中提出了一种基于子分组的身份基多重签名方案。该签名方案中由不固定的随机子分组合作生成代表整个群组的多重签名,并且在签名聚合前须验证所有子分组签名的有效性。该方案生成多重签名所需的双线性对运算与子分组成员数量有关,以一定的效率为代价提升了方案的安全性;定义了基于子分组的身份基多重签名的鲁棒性,并给出了对该方案的相应证明;在随机预言模型下,证明了所提方案在适应性选择消息攻击下是不可伪造的,其安全性基于CDH问题的困难假设。
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