Abstract-- Secure group key distribution and efficient rekeying is one of the most challenging security issues in sensor networks at present. In this paper, Latin square is firstly used to construct orthogonal arrays in order to obtain t-packing designs quickly. Based on cover-free family properties, t-packing designs are adopted in key predistribution phase. Then based secure key-shared method, the pre-deployed keys are used for implementing secure channels between members for group key distribution. The efficient updating the pre-deployed keys scheme is used to deal with the variety of network. The new strategy improves the collusion-resilience of the networks using the cover-free family properties, and enhances the key-sharing connectivity of nodes with which makes key management more efficiently. This paper also presents in depth theory and data analysis of the new strategy in term of network security and connectivity