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基于单向累加器的无向可传递闭包图认证

Transitively closed undirected graph authentication based on one-way accumulators

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【作者】 马春光蔡满春武朋

【Author】 MA Chun-guang1, CAI Man-chun2, WU Peng1 (1. College of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China; 2. Department of Information Security, Chinese People’s Security University, Beijing 102600, China).

【机构】 哈尔滨工程大学计算机科学与技术学院中国人民公安大学信息安全工程系哈尔滨工程大学计算机科学与技术学院 黑龙江哈尔滨150001北京102600黑龙江哈尔滨150001

【摘要】 提出了使用单向累加器进行无向可传递闭包图认证的新方法,构造了具体认证方案。签名时,签名者对节点集合的等价类进行累加,并为节点签发包含部分累加值的证书。累加值构成了图的签名,证书表明了节点对等价类的所属关系。验证时,只需对相关节点的证书做一次累加运算,便可验证节点间边的存在性。通过与典型的可传递签名方案的比较,表明新方案所需的空间复杂度和时间复杂度更小。另外,新方案同时支持节点和边的动态增删,这解决了Micali和Rivest提出的一个公开问题。

【Abstract】 A new approach, based on one-way accumulators, to authenticate a transitively closed undirected graph was proposed. To sign a graph G, the signer accumulates each equivalence class of the vertices set of G and assigns a certifi- cation Cert, which is a partially accumulated value, to each vertices of G. To verify whether a pair (u,v) is belong to G or not, given respectively the Certs of u and v, anyone invokes a one-way accumulator to compute the accumulated values. Both two values are equal to the accumulated value of a certain equivalence class means that there is a edge between u and v in G. Thanks to one-way accumulators which replace the standard digital signatures, the signature on edges is eliminated. Compared to classical transitive signature schemes MRTS and RSATS-1, the scheme achieved smaller storage and higher efficiency. Furthermore, the scheme, allowing G to delete and add vertices and edges dynamically, provided an answer to an open question, raised by Micali and Rivest, how to authenticate a graph whose vertices and edges may be deleted dynamically.

【基金】 中国博士后基金资助项目(20070410896);黑龙江省博士后基金资助项目(LBH-Z06027);哈尔滨工程大学基础研究基金资助项目(HEUFT05067)~~
  • 【文献出处】 通信学报 ,Journal on Communications , 编辑部邮箱 ,2008年03期
  • 【分类号】TP301
  • 【被引频次】8
  • 【下载频次】178
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