I'm surprised Telegram hasn't done anything about this yet, as they have been having DDoS attacks since September 2014.
Or, if they prefer to host themselves, they can spend the money to buy the bandwidth and Arbor (or other?) equipment.
The fact is that -- like github -- they are being DDoSed and have to do something about it if they want to stay in business. I'd be interested in hearing what github did to mitigate their attacks. I can't find any info on it (but I'm guessing that perhaps they want to keep it secret).