Computer Network Security

The Elgamal digital signature scheme employs a public key consisting of the triple {y,p,g) and a private key x, where these numbers satisfy

y = g x mod p.

Don't use plagiarized sources. Get Your Custom Essay on
Computer Network Security
Just from $13/Page
Order Essay

To sign a message M, choose a random number k such that k has no factor in common with p — 1 and compute

a = g k mod p.

Then find a value s that satisfies

M = xa + ks mod (p — 1)

which is easy to do using the Euclidean Algorithm. The signature is verified provided that

y a a s = g M mod p.

a. Select values (y,p,g) and x that satisfy equation (4.9). Choose a message M, compute the signature, and verify that equation (4.10) holds.

b. Prove that the math in Elgamal works, that is, prove that equation (4.10) always holds for appropriately chosen values. Hint: Use Fermat’s Little Theorem, which states that if p is prime and p does not divide z, then z p ~ l = 1 mod p.

Place Order
Grab A 14% Discount on This Paper
Pages (550 words)
Approximate price: -
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Try it now!

Grab A 14% Discount on This Paper

Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.