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Fig 1.

Wireless sensor networks.

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Fig 1 Expand

Table 1.

Notation definitions.

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Table 1 Expand

Fig 2.

Registration phase for users in the proposed scheme.

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Fig 2 Expand

Fig 3.

Registration phase for sensor nodes in the proposed scheme.

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Fig 3 Expand

Fig 4.

Login phase; authentication and key agreement phase.

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Fig 4 Expand

Fig 5.

Password change phase in the proposed scheme (Ui can update the password without requiring the communication with the GWN and Sj).

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Fig 5 Expand

Table 2.

Notations of BAN logic.

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Table 2 Expand

Table 3.

Functionality comparison of our scheme with other related schemes.

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Table 3 Expand

Table 4.

Performance comparison of our scheme with other related schemes.

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Table 4 Expand

Fig 6.

Comparison of running time.

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Fig 6 Expand

Fig 7.

Comparison of energy consumption.

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Fig 7 Expand