Question: Suppose Alice and Bob are using a shared secret key encryption algorithm in which the cost to do encryption and decryption is linear in the

Suppose Alice and Bob are using a shared secret key encryption algorithm in which the cost to do encryption and decryption is linear in the length of the key. Suppose they decide to start using 256-bit keys instead of 128-bit keys. How much longer will encryption and decryption take them?
Now suppose evil Trudy is doing brute-force search to decrypt Alice and Bobs conversation. How much more computation will Trudy need to use with 256-bit keys than when they were using 128-bit keys?

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