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    • 10. 发明授权
    • Key establishment method and system using commutative linear function
    • 关键建立方法和系统使用交换线性函数
    • US07715556B2
    • 2010-05-11
    • US11449405
    • 2006-06-08
    • Ku Young ChangDo Won HongHyun Sook ChoKyo Il Chung
    • Ku Young ChangDo Won HongHyun Sook ChoKyo Il Chung
    • G06F21/20
    • H04L9/0841
    • Provided are a key establishment method and system using commutative linear functions. In the method, a server defines a set of linear functions that use elements of a first finite field as coefficients and satisfy a commutative rule, selects a first linear function from the set, and selects a predetermined element from a second finite field. Next, the server selects a second linear function corresponding to each of nodes from the set, generates a predetermined combination function based on the first and second linear functions, generates a value of the second linear function using the selected element as a factor, and transmits the combination function and the value of the second linear function to a corresponding node. Each node receives the value of the second linear function from a server, exchanges the received values with the other nodes, computes a value using the exchanged value as a factor of the combination function, and establishes the computed value as a shared key between the nodes. Therefore, each node can perform key establishment with a small amount of computation and low memory consumption, while guaranteeing end-to-end security.
    • 提供了一种使用交换线性函数的关键建立方法和系统。 在该方法中,服务器定义一组线性函数,其使用第一有限域的元素作为系数并满足可交换规则,从集合中选择第一线性函数,并从第二有限域中选择预定元素。 接下来,服务器从集合中选择对应于每个节点的第二线性函数,基于第一和第二线性函数生成预定的组合函数,使用所选择的元素作为因子生成第二线性函数的值,并且发送 组合函数和第二个线性函数的值对应一个节点。 每个节点从服务器接收第二线性函数的值,与其他节点交换接收的值,使用交换的值作为组合函数的因子计算值,并将计算值建立为节点之间的共享密钥 。 因此,每个节点可以执行少量计算和低内存消耗的密钥建立,同时保证端到端的安全性。