128 Show how Alice computes hash2abmod p 2bWmod p in the fol

(12.8) Show how Alice computes hash(2^abmod p, 2^bWmod p) in the following protocol:

stores \"Alice”, p, 2\"mod p choose a, compute W and p from password 2a mod p 2b mod p, hash(2ab mod p, 2bw mod p) choose b - hash\'(2ab mod p, 2bWmod p)

Solution

The following steps are used to show Alice computes hash:

Bob is a database which can store Alice, p, g^W mod p”. Here p is a prime number; w is a one way hash.

The arguments for product data management are as follows:

In server side, Alice sends the p and w values to the Bob.

Here p = f(pwd) and w = hash(pwd), pwd is a parameter for password.

For secure remote password Bob stores Alice, g^W mod p.

Here W = f (pwd).