Enhanced Biometric Recognition for Secure Authentication Using Iris Preprocessing and Hyperelliptic Curve Cryptography

Algorithm 4: Randomized Construction of Divisors (RCD).

 Input: p prime number and HEC curve C

 Output: Randomized divisor e1

 Process:

 While true

 Let a1, a2 be the two numbers such that

 Calculate

 Calculate

 Where f(a1) and f(a2) are curve functions

 If

 p1= (a1,S1) and p2= (a2,S2) are valid points

 Form divisor e1 using algorithm PDC with points p1 and p2, break

 Return randomized divisor e1.

Algorithm 4: Randomized Construction of Divisors (RCD).