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Edited ch04.asciidoc with Atlas code editor

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judymcconville@roadrunner.com 2017-04-28 10:44:16 -07:00
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@ -194,7 +194,7 @@ Now that we have defined addition, we can define multiplication in the standard
[[public_key_derivation]]
==== Generating a Public Key
((("keys and addresses", "overview of", "public key generation")))Starting with a private key in the form of a randomly generated number _k_, we multiply it by a predetermined point on the curve called the _generator point_ _G_ to produce another point somewhere else on the curve, which is the corresponding public key _K_. The generator point is specified as part of the +secp256k1+ standard and is always the same for all keys in bitcoin:
((("keys and addresses", "overview of", "public key generation")))((("generator point")))Starting with a private key in the form of a randomly generated number _k_, we multiply it by a predetermined point on the curve called the _generator point_ _G_ to produce another point somewhere else on the curve, which is the corresponding public key _K_. The generator point is specified as part of the +secp256k1+ standard and is always the same for all keys in bitcoin:
[latexmath]
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@ -233,7 +233,7 @@ To visualize multiplication of a point with an integer, we will use the simpler
[TIP]
====
Most bitcoin implementations use the http://bit.ly/1ql7bn8[OpenSSL cryptographic library] to do the elliptic curve math. For example, to derive the public key, the function +EC_POINT_mul()+ is used.((("", startref="KAover04")))
((("OpenSSL cryptographic library")))Most bitcoin implementations use the http://bit.ly/1ql7bn8[OpenSSL cryptographic library] to do the elliptic curve math. For example, to derive the public key, the function +EC_POINT_mul()+ is used.((("", startref="KAover04")))
====
[[ecc_illustrated]]
@ -242,7 +242,7 @@ image::images/mbc2_0404.png["ecc_illustrated"]
=== Bitcoin Addresses
A bitcoin address is a string of digits and characters that can be shared with anyone who wants to send you money. Addresses produced from public keys consist of a string of numbers and letters, beginning with the digit "1". Here's an example of a bitcoin address:
((("keys and addresses", "bitcoin addresses", id="KAaddress04")))A bitcoin address is a string of digits and characters that can be shared with anyone who wants to send you money. Addresses produced from public keys consist of a string of numbers and letters, beginning with the digit "1". Here's an example of a bitcoin address:
----
1J7mdg5rbQyUHENYdx39WVWK7fsLpEoXZy
@ -519,7 +519,7 @@ If a bitcoin wallet is able to implement compressed public keys, it will use tho
[TIP]
====
"Compressed private keys" is a misnomer! They are not compressed; rather, the WIF-compressed format signifies that they should only be used to derive compressed public keys and their corresponding bitcoin addresses. Ironically, a "WIF-compressed" encoded private key is one byte longer because it has the added +01+ suffix to distinguish it from an "uncompressed" one.
"Compressed private keys" is a misnomer! They are not compressed; rather, the WIF-compressed format signifies that they should only be used to derive compressed public keys and their corresponding bitcoin addresses. Ironically, a "WIF-compressed" encoded private key is one byte longer because it has the added +01+ suffix to distinguish it from an "uncompressed" one.((("", startref="KAaddress04")))
====
=== Implementing Keys and Addresses in Python