Assignment Task: Security Analysis of WEP
(a) Demonstrate CRC-4 is linear with polynomial x4 + x + 1 over GF(2). That is, it satis?es the property that for any data packets P1 and P2, CRC(P1 ⊕ P2) = CRC(P1) ⊕ CRC(P2), where P1 = (100110001) and P2 = (000000001).
Using the same polynomial, generate a ciphertext for P1 ⊕? from P1's ciphertext C1, where ? = (010100011).