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| 一类存在特权集的门限群签名方案 |
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陈伟东1,2, 冯登国3
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1.信息安全国家重点实验室(中国科学院 研究生院),北京,100049;2.中国科学院,电子学研究所,北京,100080;3.信息安全国家重点实验室(中国科学院 软件研究所),北京,100080
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| 摘要: |
| 针对冯登国提出的"存在特权集的门限群签名"问题,旨在分析现有解决方案的安全缺陷并给出新的解决方案.首先基于有限域理论分析指出石怡等人给出的一种实现方案存在不足和安全隐患.然后推广了利用单签名构造群签名的思想,提出了具有4个变形的一类EIGamal类型门限群签名方案,从而解决了以上问题.这类方案还具有消息恢复、签名长度短等许多良好性质.最后,基于单签名的安全性假设,证明以上方案是安全的. |
| 关键词: 门限群签名方案 秘密共享方案 ElGamal体制 消息恢复 可证明安全性 |
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| 基金项目:Supported by the National Natural Science Foundation of China under Grant No.60253027 (国家自然科学基金); the National Grand Fundamental Research 973 Program of China under Grant No.G1999035802 (国家重点基础研究发展规划(973)) |
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| A Group of Threshold Group-Signature Schemes with Privilege Subsets |
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CHEN Wei-Dong,FENG Deng-Guo
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| Abstract: |
| Feng Deng-Guo suggested a problem so called “threshold group-signature scheme with privilege subsets”. This paper analyzes the security of such schemes at present and propose new schemes. Based on theory of finite fields, the authors firstly show there are some insufficiencies and potential hazard in the scheme proposed by Shi, et al. Secondly, using the idea of constructing group-signature scheme by individual signature scheme, a group of the ones with four variants of type of ElGamal are put fordward, which have some attractive properties, such as message recovery, shorter length of signature, etc. Finally, the security of the schemes is proved under the assumption that the respective individual signature schemes are secure. |
| Key words: threshold group-signature secret sharing scheme ElGamal cryptosystem message recovery provable security |
