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I have been studying RSA cryptography and want to extend this to ECC. I am interested in any books on the topic, that start off with basic principles of elliptic curves as I have almost zero knowledge of them. Can you reccomend any books, or combination of books.

(I do have a good working understanding of group theory pre-postgrad level anyway)

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closed as off topic by Felipe Voloch, quid, Franz Lemmermeyer, Ryan Budney, Yemon Choi Aug 18 '11 at 1:43

Questions on MathOverflow are expected to relate to research level mathematics within the scope defined by the community. Consider editing the question or leaving comments for improvement if you believe the question can be reworded to fit within the scope. Read more about reopening questions here.If this question can be reworded to fit the rules in the help center, please edit the question.

You should have a look at Silverman's "The Arithmetic of Elliptic Curves". The new 2nd edition includes a chapter on "algorithmic aspects" and, in particular, Ch XI.4 deals with elliptic curve cryptography. If you are looking for a more elementary treatment, look at Washington's "Elliptic Curves: Number Theory and Cryptography". – Álvaro Lozano-Robledo Aug 17 '11 at 12:24
I'm not sure why its off topic. – JarvisP Aug 17 '11 at 12:31
Thinking about it, I agree with FV, regarding closure. should be a good place to ask this. – user9072 Aug 17 '11 at 12:32
JarvisP, I had not seen your comment before mine: The point is that the purpose of this site is only research-level questions. However, the site I link to has a broader scope, but is otherwise very similar. – user9072 Aug 17 '11 at 12:35
See also a previous MO question… – Andrey Rekalo Aug 17 '11 at 12:35