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@ -691,7 +691,7 @@ available at the time((("digital signatures", "schnorr signature algorithm", "sc
[[schnorr_threshold_signatures]] [[schnorr_threshold_signatures]]
==== Schnorr-based Scriptless Threshold Signatures ==== Schnorr-based Scriptless Threshold Signatures
Scriptless multisignature protocols only work for k-of-k signing. Scriptless ((("digital signatures", "schnorr signature algorithm", "scriptless threshold signatures", id="digital-sigs-schnorr-threshold")))((("schnorr signature algorithm", "scriptless threshold signatures", id="schnorr-threshold")))((("scriptless threshold signatures", "in schnorr signature algorithm", secondary-sortas="schnorr", id="scriptless-threshold-schnorr")))((("threshold signatures", "in schnorr signature algorithm", secondary-sortas="schnorr", id="threshold-schnorr")))multisignature protocols only work for k-of-k signing.
Everyone with a partial public key that becomes part of the aggregated Everyone with a partial public key that becomes part of the aggregated
public key must contribute a partial signature and partial nonce to the public key must contribute a partial signature and partial nonce to the
final signature. Sometimes, though, the participants want to allow a final signature. Sometimes, though, the participants want to allow a
@ -799,7 +799,7 @@ the time of writing.
No scriptless threshold signature protocol has been proposed as a BIP No scriptless threshold signature protocol has been proposed as a BIP
yet, although significant research into the subject has been performed yet, although significant research into the subject has been performed
by multiple Bitcoin contributors and we expect peer-reviewed solutions by multiple Bitcoin contributors and we expect peer-reviewed solutions
will become available after the publication of this((("digital signatures", "schnorr signature algorithm", startref="digital-sigs-schnorr")))((("schnorr signature algorithm", startref="schnorr"))) book. will become available after the publication of this((("digital signatures", "schnorr signature algorithm", startref="digital-sigs-schnorr")))((("schnorr signature algorithm", startref="schnorr")))((("digital signatures", "schnorr signature algorithm", "scriptless threshold signatures", startref="digital-sigs-schnorr-threshold")))((("schnorr signature algorithm", "scriptless threshold signatures", startref="schnorr-threshold")))((("scriptless threshold signatures", "in schnorr signature algorithm", secondary-sortas="schnorr", startref="scriptless-threshold-schnorr")))((("threshold signatures", "in schnorr signature algorithm", secondary-sortas="schnorr", startref="threshold-schnorr"))) book.
[[ecdsa_signatures]] [[ecdsa_signatures]]
=== ECDSA Signatures === ECDSA Signatures