April
1999 QUESTION 1 (Compulsory) Total Marks: 20 Marks |
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questions
GRADE A
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(a) | Define the term cryptography. | [2] |
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(b) | Define the term cryptanalysis. | [2] |
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(c) | Assume a public key crytosystem based on multiplication by the key, modulo 31. User A has public key 28 and secret key 10. User B has public key 7 and secret key 9. | |
(i) Show the cipher text and decryption for authentication and secret transmission from A to B of message M =25. | [3] | |
Public key of A = PA =
28 Public key of B = PB = 7 Secret Key of A = SA = 10 Secret Key of B = SB = 9 Ciphertext = (((M)PB)SA)
mod n Plaintext = (((C)PA)SB)
mod n
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(ii) Show how a cryptanalyst, who knows the encryption algorithm could compute the unknown secret keys of both A and B. | [3] | |
Secret key of A : Key
* 28 = 1 mod 31 Key = 10 Secret key
of B : Key * 7 = 1 mod 31
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(d) | Describe three activities associated with risk analysis. | [6] |
Three activities
associated with risk analysis are :
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(e) | List four issues which must be addressed by a security plan. | [4] |
Issues which must be
addressed by a security plan are :
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