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Suppose Alice publishes an app that encrypts files. It uses the same key every time. Now, suppose Bob comes up with an attack against this

Suppose Alice publishes an app that encrypts files. It uses the same key every time.
Now, suppose Bob comes up with an attack against this app. He creates a few thousand carefully crafted files, and encrypts each one with the app. Then he does some simple math on the contents of the encrypted files, and this allows him to recover the app's encryption key.
What type of attack is this?

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