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afiodorov.github.io | ||
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www.johndcook.com
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| | | | | The Bitcoin key mechanism is based on elliptic curve cryptography over a finite field. This post gives a brief overview. | |
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www.jeremykun.com
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| | | | | So here we are. We've studied the general properties of elliptic curves, written a program for elliptic curve arithmetic over the rational numbers, and taken a long detour to get some familiarity with finite fields (the mathematical background and a program that implements arbitrary finite field arithmetic). And now we want to get back on track and hook our elliptic curve program up with our finite field program to make everything work. | |
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andrea.corbellini.name
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| | | | | [AI summary] A technical blog post explaining elliptic curves over finite fields, covering modular arithmetic, point addition algorithms, cyclic subgroups, and the discrete logarithm problem in the context of cryptography. | |
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rareskills.io
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| | | Elliptic Curves over Finite Fields What do elliptic curves in finite fields look like? It's easy to visualize smooth elliptic curves, but what do elliptic curves over a finite field look like? The following is a plot of $y² = x³ + 3 \pmod {23}$ Because we only allow integer inputs (more specifically, finite field... | ||
