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首页> 外文会议>International Conference on Information and Communications Security(ICICS 2004); 20041027-29; Malaga(ES) >On the Minimal Assumptions of Group Signature Schemes
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On the Minimal Assumptions of Group Signature Schemes

机译：关于群签名方案的最小假设

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摘要

One of the central lines of cryptographic research is identifying the weakest assumptions required for the construction of secure primitives. In the context of group signatures the gap between what is known to be necessary (one-way functions) and what is known to be sufficient (trapdoor permutations) is quite large. In this paper, we provide the first step towards closing this gap by showing that the existence of secure group signature schemes implies the existence of secure public-key encryption schemes. Our result shows that the construction of secure group signature schemes based solely on the existence of one-way functions is unlikely. This is in contrast to what is known for standard signature schemes, which can be constructed from any one-way function.
机译：密码学研究的中心线之一是确定构造安全基元所需的最弱假设。在组签名的上下文中，已知必要的内容（单向功能）和已知足够的内容（活板门排列）之间的差距非常大。在本文中，我们通过显示安全组签名方案的存在暗示着安全公钥加密方案的存在，为缩小这一差距提供了第一步。我们的结果表明，仅基于单向功能的存在来构造安全组签名方案的可能性很小。这与已知的标准签名方案相反，标准签名方案可以从任何单向函数构造。

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