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Edited ch04_keys.adoc with Atlas code editor
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@ -215,7 +215,7 @@ more complex pattern of dots on a unfathomably large grid.
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.Elliptic curve cryptography: visualizing an elliptic curve over F(p), with p=17
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.Elliptic curve cryptography: visualizing an elliptic curve over F(p), with p=17
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image::images/mbc3_0403.png["ecc-over-F17-math"]
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image::images/mbc3_0403.png["ecc-over-F17-math"]
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So, for example, the following is a point P with coordinates (x,y) that
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So, for example, the following is a point P with coordinates (x, y) that
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is a point on the +secp256k1+ curve:
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is a point on the +secp256k1+ curve:
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[source, python]
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[source, python]
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@ -770,7 +770,7 @@ public keys are known as _compressed public keys_, and the original 65-byte keys
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results in smaller transactions, allowing more payments to be made in the same
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results in smaller transactions, allowing more payments to be made in the same
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block.
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block.
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As we saw in the section <<public_key_derivation>>, a public key is a point (x,y) on an
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As we saw in the section <<public_key_derivation>>, a public key is a point (x, y) on an
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elliptic curve. Because the curve expresses a mathematical function, a
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elliptic curve. Because the curve expresses a mathematical function, a
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point on the curve represents a solution to the equation and, therefore,
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point on the curve represents a solution to the equation and, therefore,
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if we know the _x_ coordinate, we can calculate the _y_ coordinate by
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if we know the _x_ coordinate, we can calculate the _y_ coordinate by
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