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Edited ch04.asciidoc with Atlas code editor
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@ -115,7 +115,7 @@ Elliptic curve multiplication is a type of function that cryptographers call a "
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[[elliptic_curve]]
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==== Elliptic Curve Cryptography Explained
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((("keys and addresses", "overview of", "elliptic curve cryptography")))((("elliptic curve cryptography", id="eliptic04")))Elliptic curve cryptography is a type of asymmetric or public-key cryptography based on the discrete logarithm problem as expressed by addition and multiplication on the points of an elliptic curve.
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((("keys and addresses", "overview of", "elliptic curve cryptography")))((("elliptic curve cryptography", id="eliptic04")))((("cryptography", "elliptic curve cryptography", id="Celliptic04")))Elliptic curve cryptography is a type of asymmetric or public-key cryptography based on the discrete logarithm problem as expressed by addition and multiplication on the points of an elliptic curve.
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<<ecc-curve>> is an example of an elliptic curve, similar to that used by bitcoin.
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@ -189,7 +189,7 @@ If P~1~ is the "point at infinity," then the sum P~1~ + P~2~ = P~2~. Similary, i
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It turns out that pass:[+] is associative, which means that (A pass:[+] B) pass:[+] C = A pass:[+] (B pass:[+] C). That means we can write A pass:[+] B pass:[+] C without parentheses without any ambiguity.
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Now that we have defined addition, we can define multiplication in the standard way that extends addition. For a point P on the elliptic curve, if k is a whole number, then kP = P + P + P + ... + P (k times). Note that k is sometimes confusingly called an "exponent" in this case.((("", startref="eliptic04")))
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Now that we have defined addition, we can define multiplication in the standard way that extends addition. For a point P on the elliptic curve, if k is a whole number, then kP = P + P + P + ... + P (k times). Note that k is sometimes confusingly called an "exponent" in this case.((("", startref="eliptic04")))((("", startref="Celliptic04")))
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[[public_key_derivation]]
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==== Generating a Public Key
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