If you were recently banned and find out it's because someone else was on your account...
...please know that Riot holds you responsible for keeping your account information secure, which is why they may not unban you. Substandard or negligent security practices which can lead to account compromise may include things like;
- letting anyone use your computer while you are logged into the client
- literally giving your info away for any reason
- using the same password/login everywhere
- playing on foreign computers without awareness of possible keyloggers
- visiting shady websites for free offers or illegal services
If you find yourself in any position similar to these, along with trying to avoid it in the future, please change your passwords and scan your computer for malicious programs, refer to the Recovering Your Account article and immediately submit a Support Ticket if you think your account has been compromised. I recommend checking out the Protecting Your Account article for information on keeping it safe from compromise.
If you fail to take action you may be held responsible for all actions someone else takes on your account, resulting in punishment you can't get rid of. This may sound unfair, but the failure to keep your account safe may do a lot of harm to other people's games through that account. Think of it like keeping track of your gun; if you forget it on a park bench you are partially responsible if someone else misuses it.
For now there is no two-factor authentication, but Riot has plans to add it soon™.
######Disclaimer: I do not necessarily agree with all of Riot's positions, but dems da rules.