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Before a WSN can exchange data securely, encryption keys must be established among sensor nodes. Key distribution refers to the distribution of multiple keys among the sensor nodes, which is typical in a non-trivial security scheme. Key management is a broader term for key distribution, which also includes the processes of key setup, the initial distribution of keys, and key revocation-the removal of a compromised key.

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<p class="Abstract">Give a survey of the important properties of Dickson polynomial Dn(x,1), and prove that Dickson polynomial&nbsp;&nbsp;Dn(x,1) over finite field with 2m&nbsp;is a permutation polynomial if and only&nbsp;&nbsp;if &nbsp;n is odd. Use this fact to construct a new key agreement protocol which is secure, feasible and extensible.</p>