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    • 3. 发明申请
    • SYSTEM AND METHOD FOR OPTIMAL VERIFICATION OF OPERATIONS ON DYNAMIC SETS
    • 动态集合运行的最佳验证系统与方法
    • US20120030468A1
    • 2012-02-02
    • US13194702
    • 2011-07-29
    • Charalampos PapamanthouRoberto TamassiaNikolaos Triandopoulos
    • Charalampos PapamanthouRoberto TamassiaNikolaos Triandopoulos
    • H04L9/32
    • H04L9/3073H04L9/3026H04L9/3236H04L2209/26H04L2209/38
    • A system and method for cryptographically checking the correctness of outsourced set operations performed by an untrusted server over a dynamic collection of sets that are owned (and updated) by a trusted source is disclosed. The system and method provides new authentication mechanisms that allow any entity to publicly verify a proof attesting the correctness of primitive set operations such as intersection, union, subset and set difference. Based on a novel extension of the security properties of bilinear-map accumulators as well as on a primitive called accumulation tree, the system and method achieves optimal verification and proof complexity, as well as optimal update complexity, while incurring no extra asymptotic space overhead. The method provides an efficient proof construction, adding a logarithmic overhead to the computation of the answer of a set-operation query. Applications of interest include efficient verification of keyword search and database queries.
    • 公开了一种用于密码地检查由不受信任的服务器对由可信源所拥有(并更新)的集合的动态集合执行的外包集合操作的正确性的系统和方法。 系统和方法提供了新的认证机制,允许任何实体公开验证证明原始集合操作的正确性的证明,例如交集,联合,子集和设置差异。 基于双线性映射累加器的安全属性的新颖扩展以及原始称为累积树的原型,系统和方法实现了最优验证和验证复杂度,以及最优的更新复杂度,同时不产生额外的渐近空间开销。 该方法提供了一种有效的证明结构,为设置操作查询的答案的计算增加了对数开销。 感兴趣的应用程序包括关键字搜索和数据库查询的有效验证。
    • 4. 发明授权
    • System and method for optimal verification of operations on dynamic sets
    • 用于动态集合操作的最佳验证的系统和方法
    • US08572385B2
    • 2013-10-29
    • US13194702
    • 2011-07-29
    • Charalampos PapamanthouRoberto TamassiaNikolaos Triandopoulos
    • Charalampos PapamanthouRoberto TamassiaNikolaos Triandopoulos
    • H04L9/32
    • H04L9/3073H04L9/3026H04L9/3236H04L2209/26H04L2209/38
    • A system and method for cryptographically checking the correctness of outsourced set operations performed by an untrusted server over a dynamic collection of sets that are owned (and updated) by a trusted source is disclosed. The system and method provides new authentication mechanisms that allow any entity to publicly verify a proof attesting the correctness of primitive set operations such as intersection, union, subset and set difference. Based on a novel extension of the security properties of bilinear-map accumulators as well as on a primitive called accumulation tree, the system and method achieves optimal verification and proof complexity, as well as optimal update complexity, while incurring no extra asymptotic space overhead. The method provides an efficient proof construction, adding a logarithmic overhead to the computation of the answer of a set-operation query. Applications of interest include efficient verification of keyword search and database queries.
    • 公开了一种用于密码地检查由不受信任的服务器对由可信源所拥有(并更新)的集合的动态集合执行的外包集合操作的正确性的系统和方法。 系统和方法提供了新的认证机制,允许任何实体公开验证证明原始集合操作的正确性的证明,例如交集,联合,子集和设置差异。 基于双线性映射累加器的安全属性的新颖扩展以及原始称为累积树的原型,系统和方法实现了最优验证和验证复杂度,以及最优的更新复杂度,同时不产生额外的渐近空间开销。 该方法提供了一种有效的证明结构,为设置操作查询的答案的计算增加了对数开销。 感兴趣的应用程序包括关键字搜索和数据库查询的有效验证。
    • 5. 发明授权
    • Cryptographic accumulators for authenticated hash tables
    • 用于验证哈希表的加密累加器
    • US08726034B2
    • 2014-05-13
    • US12737887
    • 2009-08-28
    • Charalampos PapamanthouRoberto TamassiaNikolaos Triandopoulos
    • Charalampos PapamanthouRoberto TamassiaNikolaos Triandopoulos
    • G06F21/00
    • G06F21/64G06F17/30327G06F21/00H04L12/28
    • In one exemplary embodiment, an apparatus includes a memory storing data and a processor performing operations. The apparatus generates or maintains an accumulation tree for the stored data—an ordered tree structure with a root node, leaf nodes and internal nodes. Each leaf node corresponds to a portion of the data. A depth of the tree remains constant. A bound on a degree of each internal node is a function of a number of leaf nodes of a subtree rooted at the internal node. Each node of the tree has an accumulation value. Accumulation values of the root and internal nodes are determined by hierarchically employing an accumulator over the accumulation values of the nodes lying one level below the node in question. The accumulation value of the root node is a digest for the tree.
    • 在一个示例性实施例中,一种装置包括存储数据的存储器和执行操作的处理器。 该设备为存储的数据生成或维护累积树 - 具有根节点,叶节点和内部节点的有序树结构。 每个叶节点对应于数据的一部分。 树的深度保持不变。 每个内部节点的度数的限制是根据内部节点的子树的叶节点数量的函数。 树的每个节点都有累积值。 根和内部节点的累积值通过在位于所讨论的节点下方一级的节点的累积值上分级地采用累加器来确定。 根节点的累积值是树的摘要。