Screwy Pirates

A group of 11 pirates decided to protect their hard-won treasure, they gather together to put all the loot in a safe. Still being a democratic bunch, they decide that only a majority — any majority — of them ($\geq 6$) together can open the safe. So they ask a locksmith to put a certain number of locks on the safe. To access the treasure, every lock needs to be opened. Each lock can have multiple keys; but each key only opens one lock. The locksmith can give more than one key to each pirate.

• What is the smallest number of locks needed?
• And how many keys must each pirate carry?