Professor Kathryn Lesh
November 1, 2004
Pizza and drinks will be served
A certain bank vault is secured with a code number, and there are ten people who are authorized to go in. However, the bank would like to make sure that at least three of those people participate any time the vault is opened.
How can information about the code number be divided up among the ten people in such a way that any three of them can reconstruct it, but any two of them would have no better method than random guessing? It turns out that this problem can be solved using number theory, with methods that are closely related to modern-day encryption techniques.
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