Telegram's message format uses ambiguous padding, so they have to try all padding lengths when validating a message: https://github.com/DrKLO/Telegram/blob/master/TMessagesProj/...
That loop leaks timing information, as does the "Utilities.arraysEquals" method it uses. I'm not sure if it opens up a timing attack, but it's suspect: https://github.com/DrKLO/Telegram/blob/master/TMessagesProj/...
There is another spot where they pad with zero bytes without any authentication. This may leave room to mess with the protocol: https://github.com/DrKLO/Telegram/blob/master/TMessagesProj/...
There are also some weird things throughout the code, like using SecureRandom.nextDouble() all over: https://github.com/DrKLO/Telegram/blob/master/TMessagesProj/... https://github.com/DrKLO/Telegram/blob/master/TMessagesProj/...