关键词： 中国剩余定理, 椭圆曲线密码体制, 数字签名, 密钥管理

Abstract: Aiming at the mobility of the nodes in wireless sensor network,a cluster-based group key management scheme for mobile nodes in wireless sensor networks is put forward based on the Chinese Remainder Theorem and Elliptic Curve Cryptosystem.Using the idea of grouping within cluster,the group key management was divided into two levels:the first level being the management of the cluster head and group leaders within the cluster,and the secondary being the management of group leader and its members.The former,by using the Chinese Remainder Theorem,transferred the amount of calculation to the base station,and saved the storage cost at the same time.The latter,by using elliptic curve cryptosystem,produced group keys,and each group shares different group keys.The cluster head was used to check the joining mobile node’s historic updating information,compute digital signature verification,and assigned it to the open group after authentication.Analysis results showed that the scheme meeted sensor node’s need for low storage and low energy consumption,and the use of elliptic curve cryptosystem increased the network’s security,making it more suitable for nodes’ resource-constrained and vulnerable wireless sensor networks.

Key words: Chinese Remainder Theorem, elliptic curve cryptosystem, digital signature, key management