It is an important challenge to find out a suitable key establishment scheme for wireless sensor networks due to limitations of power

computation capability and storage resources.Many schemes based on random predistrubution technique and public key cryptography are investigated.Recently

a practical identity-based encryption technique is proposed.This paper presents an identity-based key establishment scheme for key predistribution and exchange in wireless sensor networks.It reviews first the identity-based encryption

particularly

the Boneh-Franklin algorithms.It describes a novel key establishment scheme based on the basic Boneh-Franklin and Diffie-Hellman algorithms.It discusses the efficiency and security of our scheme by comparing with random key assignment technique and symmetric key technique.