AES output, is it smaller than input?

c#, encryption

Solution

It's impossible to create any algorithm which will always create a smaller output than the input, but can reverse any output back to the input. If you allow "no bigger than the input" then basically you're just talking isomorphic algorithms where they're always the same size as the input. This is due to the pigeonhole principle.

Added to that, encryption usually has a little bit of padding (e.g. "to the nearest 8 bytes, rounded up" - in AES, that's 16 bytes). Oh, and on top of that you're got the issue of converting between text and binary. Encryption algorithms usually work in binary, but URLs are in text. Even if you assume ASCII, you could end up with an encrypted binary value which isn't ASCII. The simplest way of representing arbitrary binary data in text is to use base64. There are other alternatives which would be highly fiddly, but the general "convert text to binary, encrypt, convert binary to text" pattern is the simplest one.

Problem

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