Consider a symmetric-key cryptosystem in which, Mechanical Engineering

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Consider a symmetric-key cryptosystem in which

1. Suppose a chosen-ciphertext attacker cannot recover the secret decryption key for an encryption scheme. Does this mean theencryption scheme is secure?

2. Consider a symmetric-key cryptosystem in which cryptographic keys are randomly selected from the set of all n-bit strings. Approximately what should n be in order to provide 128 bits of security against a birthday attack?

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