Dmitry Petukhov 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							75b464ad76 
							
						 
					 
					
						
						
							
							Add missing dots that denote multiplication  
						
						... 
						
						
						
						Throughout the document, elliptic curve multiplication is denoted with dots,
as in `d'⋅G` as opposed to `d'G`.
This is not the case in one place in the 'Default Signing' section,
and one place in 'Adaptor Signatures' section
Missing dots are added for consistency. 
						
						
					 
					
						2019-11-22 00:21:05 +05:00 
						 
				 
			
				
					
						
							
							
								Orfeas Stefanos Thyfronitis Litos 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							314e9fd904 
							
						 
					 
					
						
						
							
							Add missing quote  
						
						
						
						
					 
					
						2019-11-18 17:00:39 +00:00 
						 
				 
			
				
					
						
							
							
								Orfeas Stefanos Thyfronitis Litos 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							cacb82fc6d 
							
						 
					 
					
						
						
							
							Fix typo in schnorr, footnote 2  
						
						
						
						
					 
					
						2019-11-18 14:47:27 +00:00 
						 
				 
			
				
					
						
							
							
								Hennadii Stepanov 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							7e98e2fd84 
							
						 
					 
					
						
						
							
							G refers to secp256k1 base point rather generator  
						
						
						
						
					 
					
						2019-11-11 20:09:55 +02:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							857dd625b5 
							
						 
					 
					
						
						
							
							Merge pull request  #114  from real-or-random/patch-11  
						
						... 
						
						
						
						improve rationale for key prefixing 
						
						
					 
					
						2019-11-04 16:06:29 -08:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							0c6a9cffad 
							
						 
					 
					
						
						
							
							Settle on notation: is_square(y), has_square_y(P)  
						
						
						
						
					 
					
						2019-11-04 13:42:24 -08:00 
						 
				 
			
				
					
						
							
							
								Tim Ruffing 
							
						 
					 
					
						
						
						
						
							
						
						
							db1973ffba 
							
						 
					 
					
						
						
							
							improve rationale for key prefixing  
						
						
						
						
					 
					
						2019-10-30 01:32:07 +01:00 
						 
				 
			
				
					
						
							
							
								Tim Ruffing 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							73b8e3aeeb 
							
						 
					 
					
						
						
							
							typos  
						
						
						
						
					 
					
						2019-10-30 01:27:26 +01:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							da4721cdc6 
							
						 
					 
					
						
						
							
							Update bip-schnorr.mediawiki  
						
						... 
						
						
						
						Co-Authored-By: Tim Ruffing <tim@timruffing.de> 
						
						
					 
					
						2019-10-25 10:18:29 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							322ce53625 
							
						 
					 
					
						
						
							
							Update bip-schnorr.mediawiki  
						
						... 
						
						
						
						Co-Authored-By: Tim Ruffing <tim@timruffing.de> 
						
						
					 
					
						2019-10-25 10:18:17 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							f95ac70606 
							
						 
					 
					
						
						
							
							Elaborate on default and alternative signing  
						
						
						
						
					 
					
						2019-10-24 16:03:33 -07:00 
						 
				 
			
				
					
						
							
							
								Tim Ruffing 
							
						 
					 
					
						
						
						
						
							
						
						
							0176ed1871 
							
						 
					 
					
						
						
							
							Change reference for ECDSA proofs  
						
						... 
						
						
						
						Refer to Manuel Fersch's dissertation for provable security of ECDSA. It's freely accessible and multiple results put well in context. 
						
						
					 
					
						2019-10-21 13:27:59 +02:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							ae32d243cd 
							
						 
					 
					
						
						
							
							Merge pull request  #93  from sipa/201910_clarify_keygen  
						
						... 
						
						
						
						Clarify interaction x-only keys with verification 
						
						
					 
					
						2019-10-15 18:05:59 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							2a9a70c92a 
							
						 
					 
					
						
						
							
							More on key generation  
						
						
						
						
					 
					
						2019-10-15 18:03:31 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							0a45ecbf04 
							
						 
					 
					
						
						
							
							Clarify interaction x-only keys with verification  
						
						
						
						
					 
					
						2019-10-15 17:38:10 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							d434c18af8 
							
						 
					 
					
						
						
							
							Update bip-schnorr.mediawiki  
						
						... 
						
						
						
						Co-Authored-By: Tim Ruffing <tim@timruffing.de> 
						
						
					 
					
						2019-10-15 17:33:33 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							59ac6a9683 
							
						 
					 
					
						
						
							
							Explain that MuSig needs key prefixing  
						
						
						
						
					 
					
						2019-10-15 17:31:15 -07:00 
						 
				 
			
				
					
						
							
							
								Tim Ruffing 
							
						 
					 
					
						
						
						
						
							
						
						
							2d9877e6e1 
							
						 
					 
					
						
						
							
							bip-schnorr: more on (e,s)  
						
						
						
						
					 
					
						2019-10-15 17:26:45 -07:00 
						 
				 
			
				
					
						
							
							
								Tim Ruffing 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							e139975eff 
							
						 
					 
					
						
						
							
							bip-schnorr: more on provable security  
						
						... 
						
						
						
						I'll try to get a link to the CCS paper that does not have a paywall... 
						
						
					 
					
						2019-10-15 16:02:09 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							348110ec52 
							
						 
					 
					
						
						
							
							Typo  
						
						
						
						
					 
					
						2019-10-15 12:29:52 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							cdf7dd8cca 
							
						 
					 
					
						
						
							
							Drop other curve comment  
						
						
						
						
					 
					
						2019-10-15 12:26:21 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							8c0b29cc94 
							
						 
					 
					
						
						
							
							Prefix infinite with is_  
						
						
						
						
					 
					
						2019-10-15 12:24:21 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							1e00d6ef6a 
							
						 
					 
					
						
						
							
							Apply suggestions from code review  
						
						... 
						
						
						
						Co-Authored-By: Tim Ruffing <tim@timruffing.de> 
						
						
					 
					
						2019-10-15 12:22:31 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							1442d4dabc 
							
						 
					 
					
						
						
							
							Formulate claims about BatchVerify more accurately  
						
						
						
						
					 
					
						2019-10-15 12:11:17 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							0655cc3c64 
							
						 
					 
					
						
						
							
							Use is_square/is_positive and introduce algorithm names  
						
						
						
						
					 
					
						2019-10-15 10:36:51 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							3c7fd7a830 
							
						 
					 
					
						
						
							
							HTTPS links where possible  
						
						
						
						
					 
					
						2019-10-15 09:30:06 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							69f1c93d92 
							
						 
					 
					
						
						
							
							Small fixes from review with real-or-random  
						
						
						
						
					 
					
						2019-10-14 17:55:19 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							90d9e21825 
							
						 
					 
					
						
						
							
							Merge pull request  #82  from real-or-random/patch-8  
						
						... 
						
						
						
						Link to Schnorr's paper instead of Wikipedia 
						
						
					 
					
						2019-10-07 10:44:10 -07:00 
						 
				 
			
				
					
						
							
							
								Tim Ruffing 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							3f61b2b1e7 
							
						 
					 
					
						
						
							
							Link to Schnorr's paper instead of Wikipedia  
						
						
						
						
					 
					
						2019-10-03 11:21:24 +02:00 
						 
				 
			
				
					
						
							
							
								Jonas Nick 
							
						 
					 
					
						
						
						
						
							
						
						
							5c52872fe0 
							
						 
					 
					
						
						
							
							Standardize on secret key in bip-schnorr  
						
						
						
						
					 
					
						2019-09-27 15:36:51 +00:00 
						 
				 
			
				
					
						
							
							
								Elichai Turkel 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							aa463b8193 
							
						 
					 
					
						
						
							
							Euler's Criterion prime only nit  
						
						
						
						
					 
					
						2019-09-23 02:06:14 +03:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							463a55935b 
							
						 
					 
					
						
						
							
							Merge pull request  #67  from sipa/jonasnick_small-fixes  
						
						... 
						
						
						
						Mention SHA256 block size (rebase of #45 ) 
						
						
					 
					
						2019-09-11 17:44:08 -07:00 
						 
				 
			
				
					
						
							
							
								Jonas Nick 
							
						 
					 
					
						
						
						
						
							
						
						
							87fa069b8f 
							
						 
					 
					
						
						
							
							Mention SHA256 block size  
						
						... 
						
						
						
						Rebased by Pieter Wuille 
						
						
					 
					
						2019-09-11 17:43:11 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
						
						
							
						
						
							fa423aced9 
							
						 
					 
					
						
						
							
							Address some nits  
						
						
						
						
					 
					
						2019-09-10 16:24:07 -07:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							10073d1ca5 
							
						 
					 
					
						
						
							
							Merge pull request  #65  from real-or-random/patch-6  
						
						... 
						
						
						
						Rework Applications section 
						
						
					 
					
						2019-09-10 16:21:51 -07:00 
						 
				 
			
				
					
						
							
							
								Tim Ruffing 
							
						 
					 
					
						
						
						
						
							
						
						
							4a383064fb 
							
						 
					 
					
						
						
							
							Add a footnote about 32-byte security  
						
						
						
						
					 
					
						2019-09-08 16:38:55 +02:00 
						 
				 
			
				
					
						
							
							
								Tim Ruffing 
							
						 
					 
					
						
						
						
						
							
						
						
							6d99e45126 
							
						 
					 
					
						
						
							
							Rework Applications section  
						
						
						
						
					 
					
						2019-09-08 16:38:15 +02:00 
						 
				 
			
				
					
						
							
							
								Anthony Towns 
							
						 
					 
					
						
						
						
						
							
						
						
							30bc716add 
							
						 
					 
					
						
						
							
							note about pubkey collision  
						
						
						
						
					 
					
						2019-08-29 02:35:00 +10:00 
						 
				 
			
				
					
						
							
							
								Anthony Towns 
							
						 
					 
					
						
						
						
						
							
						
						
							fc74ec6b35 
							
						 
					 
					
						
						
							
							key gen, verify, sign in intro  
						
						
						
						
					 
					
						2019-08-29 02:35:00 +10:00 
						 
				 
			
				
					
						
							
							
								Anthony Towns 
							
						 
					 
					
						
						
						
						
							
						
						
							4643538d4f 
							
						 
					 
					
						
						
							
							make secret key a 32-byte array called sk, introduce pubkey()  
						
						
						
						
					 
					
						2019-08-29 02:35:00 +10:00 
						 
				 
			
				
					
						
							
							
								Anthony Towns 
							
						 
					 
					
						
						
						
						
							
						
						
							01e1f6e6b2 
							
						 
					 
					
						
						
							
							pk not p  
						
						
						
						
					 
					
						2019-08-29 02:34:59 +10:00 
						 
				 
			
				
					
						
							
							
								Anthony Towns 
							
						 
					 
					
						
						
						
						
							
						
						
							e9600e6ed8 
							
						 
					 
					
						
						
							
							public keys aren't identical  
						
						
						
						
					 
					
						2019-08-29 02:34:36 +10:00 
						 
				 
			
				
					
						
							
							
								Jonas Nick 
							
						 
					 
					
						
						
						
						
							
						
						
							dc6b91c1a9 
							
						 
					 
					
						
						
							
							Address sipa's comments  
						
						
						
						
					 
					
						2019-08-27 15:13:08 +00:00 
						 
				 
			
				
					
						
							
							
								Jonas Nick 
							
						 
					 
					
						
						
						
						
							
						
						
							775cb2fd90 
							
						 
					 
					
						
						
							
							Tag signature hashes, improve rationale and update test vectors  
						
						
						
						
					 
					
						2019-08-26 20:46:08 +00:00 
						 
				 
			
				
					
						
							
							
								Jonas Nick 
							
						 
					 
					
						
						
						
						
							
						
						
							7cd53f6eec 
							
						 
					 
					
						
						
							
							Use a tagged hash in bip-schnorr nonce derivation  
						
						
						
						
					 
					
						2019-08-26 11:32:04 +00:00 
						 
				 
			
				
					
						
							
							
								Pieter Wuille 
							
						 
					 
					
						
						
							
							
						
						
						
							
						
						
							abe79d81e3 
							
						 
					 
					
						
						
							
							Merge pull request  #58  from sipa/201908_computec  
						
						... 
						
						
						
						Clarify pseudocode of lift_x 
						
						
					 
					
						2019-08-21 16:24:39 -07:00 
						 
				 
			
				
					
						
							
							
								John Newbery 
							
						 
					 
					
						
						
						
						
							
						
						
							8492968f34 
							
						 
					 
					
						
						
							
							Replace 'quadratic residue of...'  
						
						
						
						
					 
					
						2019-08-21 18:40:40 -04:00 
						 
				 
			
				
					
						
							
							
								John Newbery 
							
						 
					 
					
						
						
						
						
							
						
						
							a462876b9a 
							
						 
					 
					
						
						
							
							Return a point from lift_x()  
						
						
						
						
					 
					
						2019-08-21 14:35:23 -07:00 
						 
				 
			
				
					
						
							
							
								John Newbery 
							
						 
					 
					
						
						
						
						
							
						
						
							ad91099b8f 
							
						 
					 
					
						
						
							
							Define c in lift_x(x)  
						
						
						
						
					 
					
						2019-08-21 14:22:57 -07:00 
						 
				 
			
				
					
						
							
							
								Jonas Nick 
							
						 
					 
					
						
						
						
						
							
						
						
							0d28b3c37b 
							
						 
					 
					
						
						
							
							Address sipa's feedback  
						
						
						
						
					 
					
						2019-08-21 11:42:03 +00:00