Notation

Definition

Notation

Definition

IDA

Initiator’s identifier

EA

Initiator’s element operation

IDB

Responder’s identifier

EB

Responder’s element operation

Q

Finite cyclic group

E’A

Initiator’s element operation after hashing

K

Shared session key

E’B

Responder’s element operation after hashing

ss

Shared secret code.

A

Initiator’s scalar and element operations

N

New password element

B

Responder’s scalar and element operations

P

Password element

rA

Random number generated by initiator.

q

the order of Q

rB

Random number generated by responder.

p

The group prime

H()

Hash function

sA

Initiator’s scalar operation

mA

2nd random number generated by initiator.

sB

Responder’s scalar operation

mB

2nd random number generated by responder.