Where can I learn about proven methods for sharing cryptographic keys?

Question

Suppose that a group wants to encrypt some information, then share the encryption key among the group members in a way that requires the consensus of the group to decrypt th

Answer 1

Go here for a discussion of the mathematical basis to Shamir's secret sharing and brief discussion of the type of practical applications that it has. Scroll down the page to the lecture notes on Polynomials and Secret Sharing. It's probably a v. basic overview of the area, but should be quite interesting for you. Discrete Mathematics Notes