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In Observing and interacting with the real physical world sensor networks now take new opportunities for play the roles in almost everywhere. They are composed of a large number of sensor nodes and each sensor node has capabilities of sensing, processing, and communication, which underpinned by limited energy. Reducing energy consumption was, is and will be a major concern in sensor networks. For the given extremely limited hardware resources on sensor nodes and the inclement deploying environment, the adversary attack becomes a serious security threat toward wireless sensor networks. In this paper a secure public-key based effective and efficient sensor network is to be introduced. A saving time, reducing computing energy, algorithm is carefully investigated. The powerful elliptic curve cryptography (ECC) over GF (2m) is also investigated with hidden generator point.