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Edited ch08_signatures.adoc with Atlas code editor

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clenser 2023-10-19 13:06:02 +00:00
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ch08_signatures.adoc
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@ -548,7 +548,7 @@ she's ready to spend, she begins generating her signature:
==== Serialization of Schnorr Signatures ==== Serialization of Schnorr Signatures
A schnorr signature ((("digital signatures", "schnorr signature algorithm", "serialization")))((("schnorr signature algorithm", "serialization")))((("serialization", "of schnorr signature algorithm", secondary-sortas="schrnorr")))consists of two values, +kG+ and +s+. The value A schnorr signature ((("digital signatures", "schnorr signature algorithm", "serialization")))((("schnorr signature algorithm", "serialization")))((("serialization", "of schnorr signature algorithm", secondary-sortas="schnorr")))consists of two values, +kG+ and +s+. The value
+kG+ is a point on Bitcoin's elliptic curve (called secp256k1) and so +kG+ is a point on Bitcoin's elliptic curve (called secp256k1) and so
would normally be represented by two 32-byte coordinates, e.g., +(x,y)+. would normally be represented by two 32-byte coordinates, e.g., +(x,y)+.
However, only the _x_ coordinate is needed, so only that value is However, only the _x_ coordinate is needed, so only that value is
@ -581,7 +581,7 @@ the serialization used for ECDSA signatures described in
[[schnorr_multisignatures]] [[schnorr_multisignatures]]
==== Schnorr-based Scriptless Multisignatures ==== Schnorr-based Scriptless Multisignatures
In the single-signature schnorr protocol described in <<schnorr_signatures>>, Alice In the((("digital signatures", "schnorr signature algorithm", "scriptless multisignatures", id="digital-sigs-schnorr-multisig")))((("schnorr signature algorithm", "scriptless multisignatures", id="schnorr-multisig")))((("scriptless multisignatures", "in schnorr signature algorithm", secondary-sortas="schnorr", id="scriptless-multi-schnorr"))) single-signature schnorr protocol described in <<schnorr_signatures>>, Alice
uses a signature (+kG+, +s+) to publicly prove her knowledge of her uses a signature (+kG+, +s+) to publicly prove her knowledge of her
private key, which in this case we'll call +y+. Imagine if Bob also has private key, which in this case we'll call +y+. Imagine if Bob also has
a private key (+z+) and he's willing to work with Alice to prove that a private key (+z+) and he's willing to work with Alice to prove that