Security Analysis of WEP (a) Demonstrate CRC-4 is linear with polynomial x^4 + x + 1 over GF(2). That is, it satises the property that

Security Analysis of WEP
(a) Demonstrate CRC-4 is linear with polynomial x^4 + x + 1 over GF(2). That is, it satisfies the property that for any data packets P1 and P2, 

CRC(P1 ⊕ P2) = CRC(P1) ⊕ CRC(P2), 

where P1 = (100110001) and P2 = (000000001). 

(b) By using same polynomial given, generate a ciphertext for P1 ⊕∆ from P1’s ciphertext C1, where ∆ = (010100011).