Twin-Schnorr: A Security Upgrade for the Schnorr Identity-Based Identification Scheme

Algorithm 2

Description of the security model for IBI schemes.

:

(1)  ;

(2)  , , , ;

(3)  ;

(4)  :

 (i) ;

 (ii) , , ;

 (iii) ;

 (iv)

(5) :

 (i) ;

 (ii) ;

 (iii) ;

 (iv) ;

(6)

 (i) ;

 (ii)

    ;

    , , , , , ;

   and indicates the transcript session.

 (iii)

    ;

    , , , , , ;

 (iv)

    ;

    , , , , , ;

 (v) ;

(7)  : , ,

(8)  ;

(9)  ;

(10)  ;

(11)  , : , , , ;

(12)  ;