Table 3.

Functionality comparisons among the proposed scheme and other related schemes.

	Yeh et al. [5] (2011)	Liu–Chung [21] (2016)	The Proposed Scheme
F1	$\chi$	$\chi$	√
F2	√	$\chi$	√
F3	√	√	√
F4	√	$\chi$	√
F5	$\chi$	$\chi$	√
F6	√	$\chi$	√
F7	−	$\chi$	√
F8	−	$\chi$	√
F9	√	$\chi$	√
F10	√	$\chi$	√

F1: Provision of user anonymity; F2: provision of efficient login phase; F3: provision of mutual authentication; F4: provision of session key security; F5: prevention of password disclosure attack; F6: prevention of replay attack; F7: prevention of sensed data disclosure attack; F8: prevention of sensed data forgery attack; F9: prevention of stolen smart card attack; F10: prevention of off-line password guessing attack; √: yes; $\chi$: no; −: not mentioned.