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. 2022 Sep 9;22(18):6838. doi: 10.3390/s22186838

Table 2.

Notations of proposed scheme.

Notations	Definitions
${P I D}_{i}$	$Identity of patient {P a}_{i}$
${S L I D}_{j}$	$Identity of smart lamp {S L}_{j}$ .
${A I D}_{i j}$	$Identity of ambulance A_{i j}$ .
k	Encryption/decryption key k.
$E_{k}$ $(.) / D_{k}$ (.)	A symmetric encryption/decryption algorithm with secret key k.
$S_{j}$	$Private key of smart lamp {S L}_{j}$ .
$S_{i j}$	$Private key of ambulance A_{i j}$ .
${s k}_{{S L}_{j} \leftrightarrow A_{i j}}$	$Session key of smart lamp {S L}_{j}$ $and ambulance A_{i j}$ .
$p, p_{j}$ $, q_{j}$	Large random prime numbers.
$x, e_{j}$ $, d_{j}$	Random numbers.
$h_{k}$ (.)	Collision-resistance secure one-way keyed chaotic hash function.
$s_{M S} {, ω}_{M S}$	The secrete values of server of medical institute (MS).
$\oplus$	Exclusive OR (XOR) operation.
A ?= B	Checking if value A is equal to B or not.
${M A C}_{A}$	The message authentication code algorithm of A.
${Certificate}_{H C A \to MS}$	Certification issued by healthcare certification authority to a server of a medical institute (MS).
${Certificate}_{MS \to {SL}_{j}}$	$Certification issued by a server of a medical institute (MS) to a smart lamp {SL}_{j}$ $that is generated from {Certificate}_{HCA \to MS}$ .
${Certificate}_{{SL}_{j} \to A_{ij}}$	$Certification issued by a smart lamp {SL}_{j}$ $to an ambulance A_{ij}$ $that is generated from {Certificate}_{MS \to {SL}_{j}}$ .
w	Warrant including delegation information.
$b_{i}$ $, b_{s}$	Number of key update time.
${EM}_{i}$	Emergency signal.