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Wednesday, November 24, 2010

Section 16.4; Due December 6

Difficult: The discussion of addition with these elliptic curves was much more confusing than before. In the example, it seemed to say that (0,0)+(1,1) did not have a solution, then it added (0,0) again to get the identity (which I do not see), and then suddenly there was a solution because (0,0)+(1,1) had to be -(0,0)? It also says that elliptic curves with characteristic 2 are important to cryptography, but I didn't really see where it dicussed why these would be best.

Reflective: The mash up of finite fields with the new (to me) group structure on elliptic curves was more difficult to grasp than I thought it would be. It seems not too different that the curves mod p, but it is still difficult. You would think there would be more description in the book, this was a short section.

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