| 基于投影矩阵秘密分享方案的安全性注记 |
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| 引用本文： | 王莉,王卿文. 基于投影矩阵秘密分享方案的安全性注记[J]. 上海大学学报(自然科学版), 2013, 19(3): 298-302. DOI: 10.3969/j.issn.1007-2861.2013.03.015 |
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| 作者姓名： | 王莉 王卿文 |
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| 作者单位： | 1. 上海大学 理学院, 上海 200444; 2. 杭州师范大学 理学院, 杭州 310012 |
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| 基金项目： | 国家自然科学基金资助项目(11171205);上海市自然科学基金资助项目(11ZR1412500) |
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| 摘 要： | 运用有限域上的正交投影矩阵, 对已有的门限秘密分享方案进行安全性分析, 在理论上严格证明了该方案的验证式存在安全漏洞: 任何一个参与者恶意提供伪份额而不被发现的欺骗行为能以不可忽略的概率存在.
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| 关 键 词： | 防欺诈 秘密分享方案 投影矩阵 正交 |
| 收稿时间： | 2012-09-12 |
Note on Cheater Detection in Secret Sharing Scheme Using Projection Matrix |
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| WANG Li,WANG Qing-wen. Note on Cheater Detection in Secret Sharing Scheme Using Projection Matrix[J]. Journal of Shanghai University(Natural Science), 2013, 19(3): 298-302. DOI: 10.3969/j.issn.1007-2861.2013.03.015 |
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| Authors: | WANG Li WANG Qing-wen |
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| Affiliation: | 1. College of Sciences, Shanghai University, Shanghai 200444, China; 2. College of Science, Hangzhou Normal University, Hangzhou 310012, China |
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| Abstract: | The security deficiency against cheating, which lies in a threshold secret sharing scheme is analyzed with the method of orthogonal projection matrix over finite field. There exists some illicit participant successfully passing the check by his forged shares and reconstructing a wrong secret without being perceived. A strict proof shows that the cheater has non-negligible advantage in above deception. |
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| Keywords: | detection of cheaters orthogonal projection matrix secret sharing scheme |
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