1. I understand the idea of looking at an ellipse mod an integer, but I do not really understand how it ties to the addition law or how it helps in cryptography.
2. I haven't looked at ellipses for a few years, so it was interesting to see how they are used in the context of cryptography. I had never thought about looking at an elliptical equation or graph mod an integer. The use of ellipses expands when we do this.
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