Pieter Wuille
							
						 
					 | 
					
						
						
						
						
							
						
						
							c93e298518
							
						
					 | 
					
						
						
							
							Increase max Merkle path length
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Pieter Wuille
							
						 
					 | 
					
						
						
						
						
							
						
						
							fb486d7e13
							
						
					 | 
					
						
						
							
							Fix formula
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Pieter Wuille
							
						 
					 | 
					
						
						
						
						
							
						
						
							79f9fc4cc8
							
						
					 | 
					
						
						
							
							Extend input_index from 16 to 32 bits
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Pieter Wuille
							
						 
					 | 
					
						
						
						
						
							
						
						
							d9a30c954f
							
						
					 | 
					
						
						
							
							Extend codeseparator_position from 16 to 32 bits
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							78bb31c3bf
							
						
					 | 
					
						
						
							
							Accept seckey in the form of bytes and not int in the reference BIP-schnorr code to match the spec.
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Tim Ruffing
							
						 
					 | 
					
						
						
						
						
							
						
						
							e0e422a5ca
							
						
					 | 
					
						
						
							
							Link to Schnorr's paper instead of Wikipedia
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							d112f5b035
							
						
					 | 
					
						
						
							
							Replace taproot_tweak_pubkey assertion with exception and add it to taproot_tweak_seckey too
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							afa5519ade
							
						
					 | 
					
						
						
							
							Add taproot_tweak_pubkey and taproot_tweak_privkey functions to bip-taproot wallet section
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							e1d7da3796
							
						
					 | 
					
						
						
							
							Add is_quad function to bip-schnorr reference code
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							fe8f5f68ca
							
						
					 | 
					
						
						
							
							Standardize on secret key in bip-schnorr
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							05cc92b9ad
							
						
					 | 
					
						
						
							
							Add x() and y() functions for points to bip-schnorr
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							1c8bdd75a5
							
						
					 | 
					
						
						
							
							Remove 0xc1
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Anthony Towns
							
						 
					 | 
					
						
						
						
						
							
						
						
							cf8233d39e
							
						
					 | 
					
						
						
							
							separate p2sh wrapped security rationale
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Anthony Towns
							
						 
					 | 
					
						
						
						
						
							
						
						
							7c6ee49c03
							
						
					 | 
					
						
						
							
							typo
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Pieter Wuille
							
						 
					 | 
					
						
						
						
						
							
						
						
							2202615b7c
							
						
					 | 
					
						
						
							
							Fixups
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Pieter Wuille
							
						 
					 | 
					
						
						
						
						
							
						
						
							4087834c73
							
						
					 | 
					
						
						
							
							Move/reword tagged hashes motivation
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Pieter Wuille
							
						 
					 | 
					
						
						
						
						
							
						
						
							499106c57b
							
						
					 | 
					
						
						
							
							Rework resource limits section
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Pieter Wuille
							
						 
					 | 
					
						
						
						
						
							
						
						
							972136beb6
							
						
					 | 
					
						
						
							
							Remove P2SH support
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Elichai Turkel
							
						 
					 | 
					
						
						
						
						
							
						
						
							8ea6798a9d
							
						
					 | 
					
						
						
							
							Euler's Criterion prime only nit
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								JamesC
							
						 
					 | 
					
						
						
						
						
							
						
						
							f5c728ff82
							
						
					 | 
					
						
						
							
							Removed reference to 0xc1 leaf version.
						
						
						
						
						
						
						
						No longer necessary with 32B pubkeys. 
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Bryan Bishop
							
						 
					 | 
					
						
						
						
						
							
						
						
							b78b6de4fd
							
						
					 | 
					
						
						
							
							bip-taproot: fix small typo (is does not)
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							65a4f1deb8
							
						
					 | 
					
						
						
							
							Mention SHA256 block size
						
						
						
						
						
						
						
						Rebased by Pieter Wuille 
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Pieter Wuille
							
						 
					 | 
					
						
						
						
						
							
						
						
							8886eb4071
							
						
					 | 
					
						
						
							
							Address some nits
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							a5112f9f01
							
						
					 | 
					
						
						
							
							Move plain public key in output rationale to design section
						
						
						
						
						
						
						
						Rebased by Pieter Wuille 
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Tim Ruffing
							
						 
					 | 
					
						
						
						
						
							
						
						
							2b987b5711
							
						
					 | 
					
						
						
							
							Rework Applications section
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							204b7f13a0
							
						
					 | 
					
						
						
							
							Prescribe that a taproot output key should always have a taproot commitment
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Tim Ruffing
							
						 
					 | 
					
						
						
						
						
							
						
						
							29037bd123
							
						
					 | 
					
						
						
							
							Add a footnote about 32-byte security
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Anthony Towns
							
						 
					 | 
					
						
						
						
						
							
						
						
							4491902569
							
						
					 | 
					
						
						
							
							note about pubkey collision
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Anthony Towns
							
						 
					 | 
					
						
						
						
						
							
						
						
							0d04e41e2f
							
						
					 | 
					
						
						
							
							key gen, verify, sign in intro
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Anthony Towns
							
						 
					 | 
					
						
						
						
						
							
						
						
							8ffea86023
							
						
					 | 
					
						
						
							
							use p for taproot internal key
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Anthony Towns
							
						 
					 | 
					
						
						
						
						
							
						
						
							4e13ec7301
							
						
					 | 
					
						
						
							
							make secret key a 32-byte array called sk, introduce pubkey()
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Anthony Towns
							
						 
					 | 
					
						
						
						
						
							
						
						
							a3f74a204e
							
						
					 | 
					
						
						
							
							pk not p
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Anthony Towns
							
						 
					 | 
					
						
						
						
						
							
						
						
							efa556aa06
							
						
					 | 
					
						
						
							
							public keys aren't identical
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							8fd629c3f9
							
						
					 | 
					
						
						
							
							Fix privkey negation in taproot_sign_key
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							cc962bf84f
							
						
					 | 
					
						
						
							
							Address sipa's comments
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							c33c7d0a0c
							
						
					 | 
					
						
						
							
							Tag signature hashes, improve rationale and update test vectors
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							7f3611d239
							
						
					 | 
					
						
						
							
							Use a tagged hash in bip-schnorr nonce derivation
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							ba748dcd93
							
						
					 | 
					
						
						
							
							Use key path spend terminology more consistently in taproot/tapscript
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								John Newbery
							
						 
					 | 
					
						
						
						
						
							
						
						
							680af7db4c
							
						
					 | 
					
						
						
							
							Return a point from lift_x()
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								John Newbery
							
						 
					 | 
					
						
						
						
						
							
						
						
							bba0bad5e8
							
						
					 | 
					
						
						
							
							Define c in lift_x(x)
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								John Newbery
							
						 
					 | 
					
						
						
						
						
							
						
						
							1c6b104597
							
						
					 | 
					
						
						
							
							Replace 'quadratic residue of...'
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							16073d0c20
							
						
					 | 
					
						
						
							
							Clarify how to disable key path spending
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							f3bef4f459
							
						
					 | 
					
						
						
							
							Address sipa's feedback
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							a67e5e323c
							
						
					 | 
					
						
						
							
							Update bip-schnorr/test-vectors.py
						
						
						
						
						
						
						
						Co-Authored-By: Tim Ruffing <tim@timruffing.de> 
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							5da30bd568
							
						
					 | 
					
						
						
							
							Update bip-schnorr.mediawiki
						
						
						
						
						
						
						
						Co-Authored-By: Tim Ruffing <tim@timruffing.de> 
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							303ff5fb26
							
						
					 | 
					
						
						
							
							Address Tim's comments
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							08e1b3da74
							
						
					 | 
					
						
						
							
							Use short public keys for taproot output keys
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							e084aafb8b
							
						
					 | 
					
						
						
							
							Switch to 32 byte public keys in bip-schnorr
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							1a4b08ab72
							
						
					 | 
					
						
						
							
							Fix point_from_bytes in bip-schnorr reference implementation
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Jonas Nick
							
						 
					 | 
					
						
						
						
						
							
						
						
							b2e6d11a6e
							
						
					 | 
					
						
						
							
							Clarify diagram
						
						
						
						
						
						
					 | 
					
						2020-01-19 14:47:33 -08:00 | 
					
					
						
						
							
							
							
						
					 |