Current to do list

I will just scribble notes here about what I got from the regular discussion today:

  1. Is it relevant to observe the input and output class groups? Which condition regarding to this correlation should be considered as “secure”?
  2. How many class numbers will be needed to be considered as “secure”? How does the number affects the security? Any research on that?
  3. Generating curve, then choose the generator, or vice versa? Observe the effect of applying different generators
  4. Is it possible (if possible, is it necessary?) to apply some feedback to the system?
  5. Find the most convenient way to convert plaintext to point in ECC
  6. Find out more about cryptanalysis on ECC
  7. Getting ready for quals! QUALS!!!