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Merge pull request #104 from ethers/ch4

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Chapter 4
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Minh T. Nguyen 2014-08-19 08:23:43 -07:00
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@ -20,13 +20,13 @@ Wikipedia has a good article that explains the details of how arithmetic operati
Glossing over details, here are the fundamental facts:
An elliptic curve field is a set of points (x, y) each of which that satisfies the equation
An elliptic curve field is a set of points (x, y) each of which satisfies the equation
y^2^ = x^3^ + ax + b (mod P)
for some constants a, b and P (where P is prime). Bitcoin uses a standard curve known as secp256, where a=0, b=7, and P = 2^256^ - 2^32^ - 2^9^ - 2^8^ - 2^7^ - 2^6^ - 2^4^ - 1.
for some constants a, b and P (where P is prime). Bitcoin uses a curve known as secp256k1, where a=0, b=7, and P = 2^256^ - 2^32^ - 2^9^ - 2^8^ - 2^7^ - 2^6^ - 2^4^ - 1.
So for example, (55066263022277343669578718895168534326250603453777594175500187360389116729240, 32670510020758816978083085130507043184471273380659243275938904335757337482424) is a point on the secp256 curve. You can check this yourself using Python.
So for example, (55066263022277343669578718895168534326250603453777594175500187360389116729240, 32670510020758816978083085130507043184471273380659243275938904335757337482424) is a point on the secp256k1 curve. You can check this yourself using Python.
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Python 3.4.0 (default, Mar 30 2014, 19:23:13)