├── Sources ├── requirements.txt ├── breakECDSA.py ├── calculate.py ├── README.md ├── keyUtils.py └── txnUtils.py ├── Bitcoin Wallet Recovery via ECDSA Short Signatures - «CRYPTO DEEP TECH»_files ├── wmac_single_e6094661d8923e95b233019ebff7c8f0.css ├── wmac_single_49cea0a781874a962879c2caca9bc322.js ├── cropped-header4.png ├── 299fa2616cbdb8e6df9304862f441ba2.gif ├── 4e37b8f6cefc8f8d0553f541a5eb8b98.png ├── 502645324ec5666803f791ea3cc3a109.png ├── 50fe20dbc6d9d6f4a4dbf43c6eaba268.png ├── 69a7a0b324ac3b1f3e0dc27f0f4130bf.png ├── 82b5e115789ac3949bbe28bb975a2826.png ├── 9dfb1763d978473245abb6cab03e0e48.png ├── cd32b99e37cc600ddd3c35965e2a0288.png ├── d5f25e5b1b966ff43a48aaf0955ecfcd.png ├── wmac_single_8f426a1779caff96bb3f2afbcff86bc9.css ├── css ├── wmac_single_6ec0e9b3201c83a442e24aba829a5f05.js ├── wmac_single_c8322bd5bffc8e2856f2cbcd03c61d18.css ├── wmac_single_ea8874ba65dbd53bf5c7fb5c619ac579.js ├── cast_sender.js ├── wmac_single_30b593b71d7672658f89bfea0ab360c9.css ├── wmac_single_2b1ae4cca3cc8d12c39be42768565308.js ├── wmac_single_d26191bd0380b0cf97525a613b8b566c.css ├── wmac_single_8de4505c66a21eefd3c1c98b6400e4e1.css ├── fetch-polyfill.js ├── jquery-migrate.min.js ├── 2dba14ab5cb76228181c68a9403038a7.svg ├── jquery.magnific-popup.min.js ├── embed.js ├── wmac_single_d1cf6f49400112d539e59eee9b75e10d.css └── wmac_single_c495654869785bc3df60216616814ad1.css ├── Author.md └── README.md /Sources/requirements.txt: -------------------------------------------------------------------------------- 1 | bitcoin 2 | ecdsa 3 | utils 4 | base58 5 | -------------------------------------------------------------------------------- /Bitcoin Wallet Recovery via ECDSA Short Signatures - «CRYPTO DEEP TECH»_files/wmac_single_e6094661d8923e95b233019ebff7c8f0.css: -------------------------------------------------------------------------------- 1 | -------------------------------------------------------------------------------- /Bitcoin Wallet Recovery via ECDSA Short 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-------------------------------------------------------------------------------- /Bitcoin Wallet Recovery via ECDSA Short Signatures - «CRYPTO DEEP TECH»_files/wmac_single_8f426a1779caff96bb3f2afbcff86bc9.css: -------------------------------------------------------------------------------- 1 | .is-style-widget-title{font-weight:900}@keyframes tabActive{0%{width:0}100%{width:50%}}.is-style-widget-title{margin-top:0;margin-bottom:.75em;font-size:1.5rem}#itng-before-content .is-style-widget-title{text-align:center} -------------------------------------------------------------------------------- /Author.md: -------------------------------------------------------------------------------- 1 | ## CONTENTS: 2 | 3 | [cryptodeeptech.ru](https://cryptodeeptech.ru) — Website 4 | 5 | [t.me/cryptodeeptech](https://t.me/cryptodeeptech) — Telegram 6 | 7 | 8 | ## CONTACTS: 9 | 10 | cryptodeeptech@gmail.com — Email mail for all questions 11 | 12 | [t.me/cryptodeep_tech](https://t.me/cryptodeep_tech) — Technical support via Telegram 13 | 14 | -------------------------------------------------------------------------------- /Sources/breakECDSA.py: -------------------------------------------------------------------------------- 1 | import sys 2 | import bitcoin 3 | import hashlib 4 | import txnUtils 5 | import keyUtils 6 | 7 | #tx = "" 8 | tx = "" + sys.argv[1] 9 | 10 | m = txnUtils.parseTxn(tx) 11 | e = txnUtils.getSignableTxn(m) 12 | z = hashlib.sha256(hashlib.sha256(e.decode('hex')).digest()).digest() 13 | z1 = z[::-1].encode('hex_codec') 14 | z = z.encode('hex_codec') 15 | s = keyUtils.derSigToHexSig(m[1][:-2]) 16 | pub = m[2] 17 | sigR = s[:64] 18 | sigS = s[-64:] 19 | sigZ = z 20 | 21 | print ("R = 0x" + sigR + "") 22 | print ("S = 0x" + sigS + "") 23 | print ("Z = 0x" + sigZ + "") 24 | print ("") 25 | -------------------------------------------------------------------------------- /Sources/calculate.py: -------------------------------------------------------------------------------- 1 | def h(n): 2 | return hex(n).replace("0x","") 3 | 4 | def extended_gcd(aa, bb): 5 | lastremainder, remainder = abs(aa), abs(bb) 6 | x, lastx, y, lasty = 0, 1, 1, 0 7 | while remainder: 8 | lastremainder, (quotient, remainder) = remainder, divmod(lastremainder, remainder) 9 | x, lastx = lastx - quotient*x, x 10 | y, lasty = lasty - quotient*y, y 11 | return lastremainder, lastx * (-1 if aa < 0 else 1), lasty * (-1 if bb < 0 else 1) 12 | 13 | def modinv(a, m): 14 | g, x, y = extended_gcd(a, m) 15 | if g != 1: 16 | raise ValueError 17 | return x % m 18 | 19 | N = 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 20 | 21 | 22 | K = 0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0 23 | R = 0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63 24 | S = 0x0a963d693c008f0f8016cfc7861c7f5d8c4e11e11725f8be747bb77d8755f1b8 25 | Z = 0x521a65420faa5386d91b8afcfab68defa02283240b25aeee958b20b36ddcb6de 26 | 27 | 28 | print (h((((S * K) - Z) * modinv(R,N)) % N)) 29 | -------------------------------------------------------------------------------- /Bitcoin Wallet Recovery via ECDSA Short Signatures - «CRYPTO DEEP TECH»_files/css: -------------------------------------------------------------------------------- 1 | /* latin-ext */ 2 | @font-face { 3 | font-family: 'Lato'; 4 | font-style: normal; 5 | font-weight: 400; 6 | font-display: swap; 7 | src: url(https://fonts.gstatic.com/s/lato/v23/S6uyw4BMUTPHjxAwXjeu.woff2) format('woff2'); 8 | unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; 9 | } 10 | /* latin */ 11 | @font-face { 12 | font-family: 'Lato'; 13 | font-style: normal; 14 | font-weight: 400; 15 | font-display: swap; 16 | src: url(https://fonts.gstatic.com/s/lato/v23/S6uyw4BMUTPHjx4wXg.woff2) format('woff2'); 17 | unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; 18 | } 19 | /* latin-ext */ 20 | @font-face { 21 | font-family: 'Lato'; 22 | font-style: normal; 23 | font-weight: 900; 24 | font-display: swap; 25 | src: url(https://fonts.gstatic.com/s/lato/v23/S6u9w4BMUTPHh50XSwaPGR_p.woff2) format('woff2'); 26 | unicode-range: U+0100-024F, U+0259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; 27 | } 28 | /* latin */ 29 | @font-face { 30 | font-family: 'Lato'; 31 | font-style: normal; 32 | font-weight: 900; 33 | font-display: swap; 34 | src: url(https://fonts.gstatic.com/s/lato/v23/S6u9w4BMUTPHh50XSwiPGQ.woff2) format('woff2'); 35 | unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; 36 | } 37 | -------------------------------------------------------------------------------- /Bitcoin Wallet Recovery via ECDSA Short Signatures - «CRYPTO DEEP TECH»_files/wmac_single_6ec0e9b3201c83a442e24aba829a5f05.js: -------------------------------------------------------------------------------- 1 | (function(){var container,button,menu,links,i,len;container=document.getElementById('top-navigation');if(!container){return;} 2 | button=container.getElementsByClassName('top-menu-mobile')[0];if('undefined'===typeof button){return;} 3 | menu=container.getElementsByTagName('ul')[0];if('undefined'===typeof menu){button.style.display='none';return;} 4 | if(-1===menu.className.indexOf('nav-menu')){menu.className+=' nav-menu';} 5 | button.onclick=function(){if(-1!==container.className.indexOf('toggled')){container.className=container.className.replace(' toggled','');button.setAttribute('aria-expanded','false');}else{container.className+=' toggled';button.setAttribute('aria-expanded','true');}};document.addEventListener('click',function(event){var isClickInside=container.contains(event.target);if(!isClickInside){container.className=container.className.replace(' toggled','');button.setAttribute('aria-expanded','false');}});links=menu.getElementsByTagName('a');for(i=0,len=links.length;i a, .page_item_has_children > a');if('ontouchstart'in window){touchStartFn=function(e){var menuItem=this.parentNode;if(!menuItem.classList.contains('focus')){e.preventDefault();for(i=0;i{button.focus()}) 12 | goToEnd.addEventListener('focus',()=>{menu.lastElementChild.querySelector('a').focus()})}()); -------------------------------------------------------------------------------- /Sources/README.md: -------------------------------------------------------------------------------- 1 | # Bitcoin Wallet Recovery 2 | 3 | --- 4 | 5 | * Tutorial: https://youtu.be/xBgjWE5tA7Y 6 | * Tutorial: https://cryptodeep.ru/shortest-ecdsa-signature 7 | 8 | --- 9 | 10 | # Commands: 11 | 12 | git clone https://github.com/demining/CryptoDeepTools.git 13 | 14 | cd CryptoDeepTools/09BitcoinWalletRecovery/ 15 | 16 | ls 17 | 18 | pip2 install -r requirements.txt 19 | 20 | 21 | python2 breakECDSA.py 0100000001afddd5c9f05bd937b24a761606581c0cddd6696e05a25871279f75b7f6cf891f250000005f3c303902153b78ce563f89a0ed9414f5aa28ad0d96d6795f9c6302200a963d693c008f0f8016cfc7861c7f5d8c4e11e11725f8be747bb77d8755f1b8012103151033d660dc0ef657f379065cab49932ce4fb626d92e50d4194e026328af853ffffffff010000000000000000016a00000000 > signatures.txt 22 | 23 | cat signatures.txt 24 | 25 | --- 26 | 27 | ### R = 0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63 28 | ### S = 0x0a963d693c008f0f8016cfc7861c7f5d8c4e11e11725f8be747bb77d8755f1b8 29 | ### Z = 0x521a65420faa5386d91b8afcfab68defa02283240b25aeee958b20b36ddcb6de 30 | 31 | --- 32 | 33 | ### 0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0 --> 0x3b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63, 0x3f3979bf72ae8202983dc989aec7f2ff2ed91bdd69ce02fc0700ca100e59ddf3 34 | 35 | --- 36 | 37 | # Signatures: 38 | 39 | --- 40 | 41 | cat Privkey.txt 42 | 43 | ### K = 0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0 44 | ### R = 0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63 45 | ### S = 0x0a963d693c008f0f8016cfc7861c7f5d8c4e11e11725f8be747bb77d8755f1b8 46 | ### Z = 0x521a65420faa5386d91b8afcfab68defa02283240b25aeee958b20b36ddcb6de 47 | 48 | --- 49 | 50 | python3 calculate.py 51 | 52 | --- 53 | 54 | # PRIVATE KEY: 55 | 56 | --- 57 | 58 | ### ADDR: 15HvLBX9auG2bJdLCTxSvjvWvdgsW7BvAT 59 | ### WIF: L3LxjEnwKQMFYNYmCGzM1TqnwxRDi8UyRzQpVfmDvk96fYN44oFG 60 | ### HEX: b6c1238de89e9defea3ea0712e08726e338928ac657c3409ebb93d9a0873797f 61 | 62 | 63 | --- 64 | 65 | # Private key found! 66 | # Bitcoin wallet restored! 67 | 68 | --- 69 | 70 | * Tutorial: https://youtu.be/xBgjWE5tA7Y 71 | * Tutorial: https://cryptodeep.ru/shortest-ecdsa-signature 72 | 73 | --- 74 | 75 | 76 | 77 | 78 | 79 | 80 | 81 | | | Donation Address | 82 | | --- | --- | 83 | | ♥ __BTC__ | 1Lw2kh9WzCActXSGHxyypGLkqQZfxDpw8v | 84 | | ♥ __ETH__ | 0xaBd66CF90898517573f19184b3297d651f7b90bf | 85 | -------------------------------------------------------------------------------- /Bitcoin Wallet Recovery via ECDSA Short Signatures - «CRYPTO DEEP TECH»_files/wmac_single_c8322bd5bffc8e2856f2cbcd03c61d18.css: -------------------------------------------------------------------------------- 1 | .owl-carousel{display:none;width:100%;-webkit-tap-highlight-color:transparent;position:relative;z-index:1}.owl-carousel .owl-stage{position:relative;-ms-touch-action:pan-Y;touch-action:manipulation;-moz-backface-visibility:hidden}.owl-carousel .owl-stage:after{content:".";display:block;clear:both;visibility:hidden;line-height:0;height:0}.owl-carousel 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1 | # Bitcoin Wallet Recovery via ECDSA Short Signatures 2 | 3 |

We all know that the disclosure of the secret key in the ECDSA signature can lead to the complete recovery of the Bitcoin Wallet. In our earlier articles, we looked at weaknesses and vulnerabilities in blockchain transactions, but there are also ECDSA short signatures that also lead to the full recovery of a Bitcoin Wallet.

4 | 5 | 6 | 7 | 8 |

Why are these ECDSA signatures called short?

9 | 10 | 11 | 12 |

You can get the answer to this question from the topic under discussion: «The shortest ECDSA signature» [The shortest ECDSA signature]

13 | 14 | 15 | 16 |

In our last article: «Reducing the private key through scalar multiplication using the ECPy + Google Colab library» we created a Python script: maxwell.py which generated a rather interesting public key for us

17 | 18 | 19 | 20 |
Bitcoin Wallet Recovery via ECDSA Short Signatures
21 | 22 | 23 | 24 | 
(0x3b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63 , 0xc0c686408d517dfd67c2367651380d00d126e4229631fd03f8ff35eef1a61e3c)
25 | 26 | 27 | 28 |

As we know the value of the signature, "R"this is the public key from the private key(Nonce)

29 | 30 | 31 | 32 |

Take a look at Blockchain transaction: 11e6b169701a9047f3ddbb9bc4d4ab1a148c430ba4a5929764e97e76031f4ee3

33 | 34 | 35 | 36 |

RawTX:

37 | 38 | 39 | 40 | 
0100000001afddd5c9f05bd937b24a761606581c0cddd6696e05a25871279f75b7f6cf891f250000005f3c303902153b78ce563f89a0ed9414f5aa28ad0d96d6795f9c6302200a963d693c008f0f8016cfc7861c7f5d8c4e11e11725f8be747bb77d8755f1b8012103151033d660dc0ef657f379065cab49932ce4fb626d92e50d4194e026328af853ffffffff010000000000000000016a00000000
 41 |
42 | 43 | 44 | 45 |

The size of this transaction is only:156 байт

46 | 47 | 48 | 49 |

How can I restore a Bitcoin Wallet through ECDSA short signatures?

50 | 51 | 52 | 53 |

In the cryptanalysis of the Bitcoin blockchain, we use our own Bas h script:btcrecover.sh

54 | 55 | 56 | 57 |
bitcoin wallet recovery process
bitcoin wallet recovery process
58 | 59 | 60 | 61 |

Bash script: btcrecover.sh

62 | 63 | 64 | 
pip2 install -r requirements.txt
 65 | chmod +x btcrecover.sh
 66 | 
 67 | 
 68 |  ./btcrecover.sh 12yysAMhagEm67QCX85p3WQnTUrqcvYVuk
 69 | 
 70 | 
 71 |  ./btcrecover.sh 15HvLBX9auG2bJdLCTxSvjvWvdgsW7BvAT
 72 |
73 | 74 | 75 | 76 |

Results:

77 | 78 | 79 | 80 |

| privkey : addr |

81 | 82 | 83 | 84 |

Let’s open bitaddress and   check:

85 | 86 | 87 | 88 | 
ac8d0abda1d32aaabff56cb72bc39a998a98779632d7fee83ff452a86a849bc1:12yysAMhagEm67QCX85p3WQnTUrqcvYVuk
 89 | b6c1238de89e9defea3ea0712e08726e338928ac657c3409ebb93d9a0873797f:15HvLBX9auG2bJdLCTxSvjvWvdgsW7BvAT
90 | 91 | 92 | 93 |

Let’s move on to the experimental part and analyze in more detail all the scripts for restoring a Bitcoin Wallet

94 | 95 | 96 | 97 |

Open  [TerminalGoogleColab] .

98 | 99 | 100 | 101 |

Let’s use the «09BitcoinWalletRecovery» repository .

102 | 103 | 104 | 105 | 
git clone https://github.com/demining/CryptoDeepTools.git
106 | 
107 | cd CryptoDeepTools/09BitcoinWalletRecovery/
108 | 
109 | ls
110 | 111 | 112 | 113 |
Bitcoin Wallet Recovery via ECDSA Short Signatures
114 | 115 | 116 | 117 |

Install all the necessary modules:

118 | 119 | 120 | 121 | 
bitcoin
122 | ecdsa
123 | utils
124 | base58
125 | 126 | 127 | 128 |
129 | 130 | 131 | 132 | 
pip2 install -r 
133 | .txt
134 | 135 | 136 | 137 |
Bitcoin Wallet Recovery via ECDSA Short Signatures
138 | 139 | 140 | 141 |

Using the breakECDSA.py script, we get from the RawTXsignature [R, S, Z]

142 | 143 | 144 | 145 | 
python2 breakECDSA.py 0100000001afddd5c9f05bd937b24a761606581c0cddd6696e05a25871279f75b7f6cf891f250000005f3c303902153b78ce563f89a0ed9414f5aa28ad0d96d6795f9c6302200a963d693c008f0f8016cfc7861c7f5d8c4e11e11725f8be747bb77d8755f1b8012103151033d660dc0ef657f379065cab49932ce4fb626d92e50d4194e026328af853ffffffff010000000000000000016a00000000 > signatures.txt
146 |
147 | 148 | 149 | 150 |

The result will be saved to a file: signatures.txt

151 | 152 | 153 | 154 |

Let’s open the file:PublicKeys.txt

155 | 156 | 157 | 158 | 
cat signatures.txt
159 | 160 | 161 | 162 |
Bitcoin Wallet Recovery via ECDSA Short Signatures
163 | 164 | 165 | 166 | 
R = 0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63
167 | S = 0x0a963d693c008f0f8016cfc7861c7f5d8c4e11e11725f8be747bb77d8755f1b8
168 | Z = 0x521a65420faa5386d91b8afcfab68defa02283240b25aeee958b20b36ddcb6de
169 | 170 | 171 | 172 |

As we know from our last article , we know the secret key to generating the signature R

173 | 174 | 175 | 176 |
Bitcoin Wallet Recovery via ECDSA Short Signatures
177 | 178 | 179 | 180 |

In our case, the secret key (Nonce) is:

181 | 182 | 183 | 184 | 
0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0 --> 0x3b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63, 0x3f3979bf72ae8202983dc989aec7f2ff2ed91bdd69ce02fc0700ca100e59ddf3
185 |
186 | 187 | 188 | 189 |

Signatures:

190 | 191 | 192 | 193 | 
K = 0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0
194 | R = 0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63
195 | S = 0x0a963d693c008f0f8016cfc7861c7f5d8c4e11e11725f8be747bb77d8755f1b8
196 | Z = 0x521a65420faa5386d91b8afcfab68defa02283240b25aeee958b20b36ddcb6de
197 | 198 | 199 | 200 |

Now that we know the value of [K, R, S, Z] we can get the private key using the formula and restore the Bitcoin Wallet.

201 | 202 | 203 | 204 |
Privkey = ((((S * K) - Z) * ​​modinv(R,N)) % N)
205 | 206 | 207 | 208 |

To get the private key, let’s use the Python script: calculate.py

209 | 210 | 211 | 212 | 
def h(n):
213 |     return hex(n).replace("0x","")
214 | 
215 | def extended_gcd(aa, bb):
216 |     lastremainder, remainder = abs(aa), abs(bb)
217 |     x, lastx, y, lasty = 0, 1, 1, 0
218 |     while remainder:
219 |         lastremainder, (quotient, remainder) = remainder, divmod(lastremainder, remainder)
220 |         x, lastx = lastx - quotient*x, x
221 |         y, lasty = lasty - quotient*y, y
222 |     return lastremainder, lastx * (-1 if aa < 0 else 1), lasty * (-1 if bb < 0 else 1)
223 | 
224 | def modinv(a, m):
225 |     g, x, y = extended_gcd(a, m)
226 |     if g != 1:
227 |         raise ValueError
228 |     return x % m
229 |     
230 | N = 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141
231 | 
232 | 
233 | K = 0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0
234 | R = 0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63
235 | S = 0x0a963d693c008f0f8016cfc7861c7f5d8c4e11e11725f8be747bb77d8755f1b8
236 | Z = 0x521a65420faa5386d91b8afcfab68defa02283240b25aeee958b20b36ddcb6de
237 | 
238 | 
239 | print (h((((S * K) - Z) * modinv(R,N)) % N))
240 | 241 | 242 | 243 |

Let’s run the Python script: calculate.py

244 | 245 | 246 | 247 | 
python3 calculate.py
248 | 249 | 250 | 251 |
PrivKey=b6c1238de89e9defea3ea0712e08726e338928ac657c3409ebb93d9a0873797f
PrivKey=b6c1238de89e9defea3ea0712e08726e338928ac657c3409ebb93d9a0873797f
252 | 253 | 254 | 255 |

Let’s open bitaddress and   check:

256 | 257 | 258 | 259 | 
ADDR: 15HvLBX9auG2bJdLCTxSvjvWvdgsW7BvAT
260 | WIF:  L3LxjEnwKQMFYNYmCGzM1TqnwxRDi8UyRzQpVfmDvk96fYN44oFG
261 | HEX:  b6c1238de89e9defea3ea0712e08726e338928ac657c3409ebb93d9a0873797f
262 | 263 | 264 | 265 |
Bitcoin Wallet Recovery via ECDSA Short Signatures
266 | 267 | 268 | 269 |

Private key found!

270 | 271 | 272 | 273 |

Bitcoin wallet restored!

274 | 275 | 276 | 277 |
Bitcoin Wallet Recovery via ECDSA Short Signatures
278 | 279 | 280 | 281 |

Короткие подписи ECDSAis a potential threat of losing coins BTC , so we strongly recommend everyone to always update the software and use only verified devices.

282 | 283 | 284 | 285 |

This video was created for the  CRYPTO DEEP TECH portal  to ensure the financial security of data and cryptography on elliptic curves  secp256k1 against weak signatures  ECDSA in cryptocurrency BITCOIN

286 | 287 | 288 | 289 |

Source

290 | 291 | 292 | 293 |

Telegram :  https://t.me/cryptodeeptech

294 | 295 | 296 | 297 |

Video: https://youtu.be/xBgjWE5tA7Y

298 | 299 | 300 | 301 |

Source: https://cryptodeeptech.ru/shortest-ecdsa-signature

302 | 303 | 304 | 305 | --- 306 | 307 | 308 | | | Donation Address | 309 | | --- | --- | 310 | | ♥ __BTC__ | 1Lw2gTnMpxRUNBU85Hg4ruTwnpUPKdf3nV | 311 | | ♥ __ETH__ | 0xaBd66CF90898517573f19184b3297d651f7b90bf | 312 | -------------------------------------------------------------------------------- /Bitcoin Wallet Recovery via ECDSA Short Signatures - «CRYPTO DEEP TECH»_files/2dba14ab5cb76228181c68a9403038a7.svg: -------------------------------------------------------------------------------- 1 | -------------------------------------------------------------------------------- /Bitcoin Wallet Recovery via ECDSA Short Signatures - «CRYPTO DEEP TECH»_files/jquery.magnific-popup.min.js: -------------------------------------------------------------------------------- 1 | /*! 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f6.prototype.u=function(a){g.KO.prototype.u.call(this,a);var b=this.api.getVideoData();if(b.JL||b.playerErrorMessageRenderer)(a=b.JL)?x4a(this,a):b.playerErrorMessageRenderer&&x4a(this,b.playerErrorMessageRenderer);else{var c;a.al&&(b.gr?w4a(b.gr)?c=g.CA(b.gr):c=g.LO(g.BA(b.gr)):c=g.LO(a.al),this.Vd(c,"subreason"))}};g.v(g6,g.W);g6.prototype.Ch=function(){this.api.Cb().isCued()||(this.hide(),this.api.Xa(this.element,!1))}; 61 | g6.prototype.j=function(){var a=this.api.getVideoData(),b=this.api.V(),c=this.api.getVideoData().C,d=b.Rc,e=!b.Lc,f=this.u.Ig(),h=g.$F(b);b=b.B;d||f||c||e||h||b||!a.videoId?(this.hide(),this.api.Xa(this.element,!1)):(a=y4a(this),this.Oa("url",a),this.show())}; 62 | g6.prototype.onClick=function(a){var b=y4a(this);g.GO(b,this.api,a);this.api.vb(this.element)}; 63 | g6.prototype.show=function(){this.api.Cb().isCued()&&(g.W.prototype.show.call(this),this.api.Sm(this.element)&&this.api.Xa(this.element,!0))};g.v(h6,g.W);h6.prototype.Ch=function(){var 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g.k.U0=function(){this.D=!1;g.ho(this.api.getRootNode(),"ytp-expand-pause-overlay");this.focus()}; 71 | g.k.zU=function(){this.scrollTo(this.u-this.containerWidth)}; 72 | g.k.AU=function(){this.scrollTo(this.u+this.containerWidth)}; 73 | g.k.Ko=function(){this.Ab(this.api.gb().getPlayerSize())}; 74 | g.k.jd=function(a){if(!(g.V(a.state,1)||g.V(a.state,16)||g.V(a.state,32))){var b=!this.api.V().K("embeds_disable_pauseoverlay_on_autoplay_blocked_killswitch")&&g.V(a.state,1024);!g.V(a.state,4)||g.V(a.state,2)||b?this.C.hide():this.suggestionData.length&&(this.D||(g.ho(this.api.getRootNode(),"ytp-expand-pause-overlay"),k6(this)),this.C.show(),this.ea=(0,g.T)())}}; 75 | g.k.Ab=function(a){var b=16/9,c=this.I.Vf();a=a.width-(c?112:58);c=Math.ceil(a/(c?320:192));c=(a-8*c)/c;b=Math.floor(c/b);for(var d=0;da.width)&&!this.u||!a&&this.u){var b=new 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h6(this.G),g.M(this,this.D),g.EN(this.G,this.D.element,4));this.j.T(this.G,"appresize",this.Ab);this.j.T(this.G,"presentingplayerstatechange",this.Ch);this.j.T(this.G,"videodatachange",this.onVideoDataChange);this.j.T(this.G,"onMutedAutoplayStarts",this.onMutedAutoplayStarts);this.j.T(this.G,"onAdStart",this.onAdStart);this.j.T(this.G,"onAdComplete",this.onAdComplete);this.j.T(this.G,"onAdSkip",this.onAdSkip); 86 | this.j.T(this.G,"onAdStateChange",this.onAdStateChange);this.Xb(this.G.Cb());this.player.xf("embed")}; 87 | g.k.Ab=function(){var a=this.G.gb().getPlayerSize();this.Bf&&this.Bf.resize(a)}; 88 | g.k.Ch=function(a){this.Xb(a.state)}; 89 | g.k.Xb=function(a){g.V(a,128)?(this.Bf||(this.Bf=new f6(this.G),g.M(this,this.Bf),g.EN(this.G,this.Bf.element,4)),this.Bf.u(a.getData()),this.Bf.show(),g.ho(this.G.getRootNode(),"ytp-embed-error")):this.Bf&&(this.Bf.dispose(),this.Bf=null,g.jo(this.G.getRootNode(),"ytp-embed-error"))}; 90 | g.k.onMutedAutoplayStarts=function(){this.G.getVideoData().mutedAutoplay&&this.u&&this.watermark&&this.watermark.Ca(this.u.bottomButtons,0)}; 91 | g.k.onVideoDataChange=function(a,b){var c=this.nw!==b.videoId;a=!c&&"newdata"===a;var d,e={isShortsModeEnabled:null==(d=g.uN(this.G))?void 0:d.Ps()};g.Ov("embedsVideoDataDidChange",{clientPlaybackNonce:b.clientPlaybackNonce,isReload:a,runtimeEnabledFeatures:e});c&&(this.nw=b.videoId);this.watermark&&this.u&&!b.mutedAutoplay&&g.uh(this.u.element,this.watermark.element)&&g.EN(this.G,this.watermark.element,8);this.G.V().B&&this.B&&this.B.detach()}; 92 | g.k.onAdStart=function(){l6(this,"EMBEDS_AD_EVENT_TYPE_AD_STARTED")}; 93 | g.k.onAdComplete=function(){l6(this,"EMBEDS_AD_EVENT_TYPE_AD_COMPLETED")}; 94 | g.k.onAdSkip=function(){l6(this,"EMBEDS_AD_EVENT_TYPE_AD_SKIPPED")}; 95 | g.k.onAdStateChange=function(a){2===a&&l6(this,"EMBEDS_AD_EVENT_TYPE_AD_PAUSED")};g.eO("embed",C4a);})(_yt_player); 96 | 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