More questions about "order"

[Hey, my last posting is almost a week ago. What have I been doing? How would I finish the phd in 3 years if the progress is like this???]

Order of an element, order of a group, order of a point. Have read about them but there are several questions in my head:

  1. What the order of an element has to do with the security level of a curve, if there’s any relation between them?
  2. What’s the use of a generator? It’s been said that a generator has the maximum possible order of p-1 elements. So what?

[scratching head, thinking hard, but it’s already late now. the phd student is getting sleepy… zzzzzzzzzzzzzzzz]

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