3. For this task you are going to generate a key and use stream cipher. (a) Use the quadratic residue pseudorandom generator (BBS)on the prime numbers p and q of your choice, where 5000 < p, q < 9000, to generate the first five bits of your key k0, k1, k2, k3 and k4. (b) Generate a key sequence of length 40 by using the recurrence relation xn+5 = xn+4 + xn+2 + xn+1 + xn (mod 2), n ≥ 0 where the initial values are the key generated in (a). (c) Encode your last name by using the ASCII code. Use the stream cipher and the key you generated above to encrypt your last name.

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