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judymcconville@roadrunner.com 2017-04-28 10:24:19 -07:00
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@ -105,7 +105,7 @@ $ bx seed | bx ec-new | bx ec-to-wif
[[pubkey]]
==== Public Keys
The public key is calculated from the private key using elliptic curve multiplication, which is irreversible: _K_ = _k_ * _G_, where _k_ is the private key, _G_ is a constant point called the _generator point_, and _K_ is the resulting public key. The reverse operation, known as "finding the discrete logarithm"—calculating _k_ if you know __K__—is as difficult as trying all possible values of _k_, i.e., a brute-force search. Before we demonstrate how to generate a public key from a private key, let's look at elliptic curve cryptography in a bit more detail.
((("keys and addresses", "overview of", "public key calculation")))((("generator point")))The public key is calculated from the private key using elliptic curve multiplication, which is irreversible: _K_ = _k_ * _G_, where _k_ is the private key, _G_ is a constant point called the _generator point_, and _K_ is the resulting public key. The reverse operation, known as "finding the discrete logarithm"—calculating _k_ if you know __K__—is as difficult as trying all possible values of _k_, i.e., a brute-force search. Before we demonstrate how to generate a public key from a private key, let's look at elliptic curve cryptography in a bit more detail.
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@ -115,7 +115,7 @@ Elliptic curve multiplication is a type of function that cryptographers call a "
[[elliptic_curve]]
==== Elliptic Curve Cryptography Explained
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.
((("keys and addresses", "overview of", "elliptic curve cryptography")))((("elliptic curve cryptography")))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.
<<ecc-curve>> is an example of an elliptic curve, similar to that used by bitcoin.