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The Beauty of Elliptic Curves: Meet Twisted Edwards

I must admit, I loved discovering the Diffie-Hellman method, and then the beauty of RSA, but it was elliptic curves that really has me hooked. And basically the security that you are using to access this page is likely to be based an elliptic curves. The basic form is y² = x² + ax +b, but we can also have a Montgomery curve which is y²=x³+ax²+x. But the one I like most is the twisted Edwards curve…