Advances, Systems and Applications
Table 1 Notations
From: A secure user authentication protocol for sensor network in data capturing
Symbol | Define |
|---|---|
p | A big prime number |
Fp | A finite field |
E | An elliptic curve in F p with a large order |
P | A point on elliptic curve E with order q that is a big prime number |
U | A remote user |
ID | An identity |
PS | A user password |
GW | Gateway of WSNs |
S n | Sensor node of WSNs |
Q id | Public key of id |
d id | Private key of id |
P set | A system parameter set of PKG |
h(.) | A public secure one-way hash function |
H 1 (.) | A public function: {0,1} * → G 1 , the G 1 is a group G 1 = {NP|n∈ {0,1…q-1}} |
H 2 (.) | A public function G 2 → {0,1}*, G 2 is subgroup with an order q of GF (p 2)* |
f(.) | A public function: G 1 → {0,1}* |
ê(.) | An admissible pairing: G 1 × G 1 → G 2 |
E k (m) | Encrypt message m with key k |
D k (c) | Decrypt message c with key k |
|| | A string concatenation operation |
⨁ | A XOR operation |