1. I didn't understand the Shamir Threshold Scheme at all. I was hoping the example would help me understand, but it didn't. I got lost with the Lagrange interpolating polynomial. With the linear system approach I didn't understand the construction of the matrix. I followed the Blakely method better, but I didn't follow how the plane equations were constructed as well.
2. The whole idea of Threshold schemes are pretty cool. I never really thought about situations that would need such a system, but now after reading, it applies to a lot of different life situations. They seem like a very nice solutions to the problems.
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