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(a) Briefly explain the following security goals provided by cryptography: confidentiality, authentication, integrity and non-repudiation.

(b) State Kerckhoff's Principle and explain how it relates to cryptanalysis.

(d) You have intercepted a message encrypted with a Caesar cipher. The ciphertext starts with HWDUYFSFQDXNX and you know the plaintext starts with c. Find the key and decrypt the message.

(e) Use Euclidean's algorithm to calculate gcd(763, 1729).

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