中文摘要：

针对Biota密钥预分配方案存在安全闽值的问题，提出一种面向无线传感网络的基于分组的双空间密钥预分配方案．将整个网络划分为多个逻辑组，组内节点服从以部署位置为中心的二维高斯分布，建立分组部署模型，组内节点和组间节点在不同的密钥空间上建立共享密钥．从全局连通性、抗毁性和有效性三个方面对方案进行理论和实验分析，结果表明本文方案在解决Blom方案安全阈值问题的同时，既提高了网络的抗毁能力，又保证任意两个节点能够直接建立共享密钥．

英文摘要：

To solve the problem of security threshold in key pre-distribution scheme proposed by Blom, a new group-based double- space key pre-distribution scheme is proposed for wireless sensor networks. The scheme establishes the group-based deployment model and the key spaces of intra-group nodes and inter-group ones are different respectively. The performance analysis is given in the aspect of network connectivity, resiliency and efficiency. Results show that the scheme not only solves the problem of security threshold in Blom key pre-distribntion scheme, but also improves the network resilience and guarantees direct establishment of the shared key be- tween any two nodes.