Please notice that the following is not written in academic terminology. It is an unofficial note from one of my research meetings back when I was a student at UVic. I haven't had a chance to research the topic yet, but I'd like to put it here to keep track ...
Notion: A message that is encrypted by a public key at any entity in the network can only be decrypted by cooperation of a group of entities (no single entity is able to decrypt the message on its own).