
Symbol  Definition 

 Identities of users and , respectively 
 Identity of the authentication server 
 The large prime 
 The longterm key of , and 
 is the seed of the enhanced Chebyshev polynomial 
 Passwords of and , respectively 
 Random large integer number chosen by and , respectively 
 Components of session key, where and 
 Collision resistant secure oneway chaotic hash function 
 Evidence generated by user for user 
