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Showing 4 of 4 results by rkvishvam
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Board Bitcoin Discussion
Re: Bitcoin puzzle (3,350.00 BTC's )
by
rkvishvam
on 09/10/2021, 06:00:36 UTC
Quote from: bytcoin on September 05, 2021, 04:45:57 PM
Quote from: interiawp on August 30, 2021, 05:35:46 PM
yes
Here it is!

(((TESTNET)))

I sent two transactions to this address:muFPtSuYmYpaqdrNFtwNfm5j2fK2WMtRoz

Transaction 1: https://tbtc.bitaps.com/0faeffb396eebecdade89ef0f66aa002893c3dcb2787283f2d2e6a38edd1da1c/mmjRyw4Zgn7QQVuqTe4YLQmcn82b8aD2L6

z = 0xc8d3c14a3b190b6ea53ce4317fdd51ca1cf1a235dffbc3ce566507061f901a5a
r = 0x42c995eb98c38a8f3de7dde0f5ac63a67441a7e96b821f53931495bc6ea64cb0
s = 0x35a526e609d7022249d46d2392ff7e66b11a303d137204eb909867ae272c24b1

------------------------------------------------------------------------------------------------------------------------------------------------------------------

Transaction 2: https://tbtc.bitaps.com/4728a81966ae288b3c4d9ef781acd9cefe51b7869876abf8796f52940603014e/mmjRyw4Zgn7QQVuqTe4YLQmcn82b8aD2L6

z = 0x57b1d4f6111f1dd7b87db91931682bad285aa2587c6239f7d3beb319ff2e0834
r = 0x4f8bfa709c788b2ed59dd44a16e0c7b22ca7dece56d27144d418577a38b1d0d2
s = 0x096f65fa2a2c6c054b12981c42b0aece4ac861632a2900ced39070f0dd2e86e1

My address : mmjRyw4Zgn7QQVuqTe4YLQmcn82b8aD2L6

My public key : 028ce829db535d42389defbf9ba58731f56ddb1cc7a189e5e30a85d63eb225b5d2

The k value of the second transaction is double the first: k1 * 2 = k2




according to my calculation there are two possible candidates for the private key 0x8bfc718f4753611d61d043b499a2af787590cfb220959734c9c8c28406588ee and 0x6361789260ac3dfbd273c45da2069d79cf4ba8a1a861698cd4d2d71ed4ad82ea, but both of them not giving the above public key.
Post
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Board Development & Technical Discussion
Merits 1 from 1 user
Re: Pollard's kangaroo ECDLP solver
by
rkvishvam
on 29/06/2021, 13:33:22 UTC
⭐ Merited by NotATether (1)
Quote from: WanderingPhilospher on June 28, 2021, 04:57:28 PM
Quote
Wow, I just checked and found this match:

address: 1Kc3gPy54e68BsHVJreSqSHgm3fLeXnj2g
pubkey : 02133205BAD04B511DA446FE2E4777D15B1AAAA7E99B084E67A2968DAA7C1EB946
privkey : 74D72499E (35 bit)

I want to ask how you did get these 33 pubkeys?, I have read your previous messages but not getting it completely.
If we divide range 400000000:7FFFFFFFFF which is 7FFFFFFFFF (39 bit) by 2^5 then the result will be in decimal point, its not a perfect division.

So how do you do this? And how to derive those 33 pubkeys, Need little explanation.


Regards!!
Like I said, it's mod p this and mod p that.

Some smarter people may be able to explain it better...I get the gist and know it works.

Now to get the private key for the original pubkey we were searching for:

Code:
divisor = 32
keyfoundinposition=22
privkeyfound=0x74D72499E
solvedkey = int(privkeyfound*divisor+keyfoundinposition)
print(">%x"%solvedkey)
#E9AE4933D6

You take the divisor, which position the private key found is in (in this case it was 22; if you count down from the lines of the pubkeys I posted, or the addresses, you will find the one you found on line 23, but the first line is 0, so line 23 = line 22 and then multiply the hex priv key found by the divisor number and then add the key found in position. And now you have the actual private key we were looking for.





Ok thanks for sharing this and here is the codes to generate those 33 pubkeys, this is written by Ice Land (https://github.com/iceland2k14):



Code:
from fastecdsa import curve
from fastecdsa.point import Point
import bit

G = curve.secp256k1.G
N = curve.secp256k1.q

pubkey = '03a2efa402fd5268400c77c20e574ba86409ededee7c4020e4b9f0edbee53de0d4'


def pub2point(pub_hex):
    x = int(pub_hex[2:66], 16)
    if len(pub_hex) < 70:
        y = bit.format.x_to_y(x, int(pub_hex[:2], 16) % 2)
    else:
        y = int(pub_hex[66:], 16)
    return Point(x, y, curve=curve.secp256k1)


Q = pub2point(pubkey)

# k = 1/32
k = pow(32, N - 2, N)

for i in range(33):
    P = Q - (i * G)
    P = k * P
    print(hex(P.x), hex(P.y))








Post
Topic
Board Development & Technical Discussion
Re: Pollard's kangaroo ECDLP solver
by
rkvishvam
on 28/06/2021, 05:48:20 UTC
Quote from: WanderingPhilospher on June 27, 2021, 12:12:17 AM
Cobras, haha, since you wouldn't do as I asked, I'll just use #40 from the puzzle/challenge.

Adddress (not important):
1EeAxcprB2PpCnr34VfZdFrkUWuxyiNEFv

Pub key:
03a2efa402fd5268400c77c20e574ba86409ededee7c4020e4b9f0edbee53de0d4

Now, it's range is 8000000000:FFFFFFFFFF

I will divide by 2^5 (32, which will actually be 33 because you also divide by 0)
Here are those 33 pubkeys:
Code: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And if you want to search by compressed addresses that match the above pubkeys:
Code:
14zJF8CnG4hYZnPk4PYfc8gLU31Puqfgsv
1NRNqBzcGrhVPwcAG3mQtuVJk8LzbJbzJq
1JcJGT8ezp8EHsVDcDyPNa3Ar2zbhiy4ax
1HaCnLU7wssvrTUpEGDcBPebX4mmR21MWN
14Xuu5dGxwZpHf4mr1r4ziYDXdgMrFbDbP
19YPjv6E1642SPve4toMZkpo8TMvYvhin3
1Bdx4r4xx9UFRoVoR4QtgSjrcgEfpehia
1FJzTav9h59pi81yGXmgQAWu6ZergWEFZo
1GCzqPsWNN52M5oViktLdawZYMb912PXyZ
1GfWXSJ1eA14ap8enpUsVm2HTQV2cRBPZD
17e1To7mLCJzusa7sbs8habEzsMiF5jKej
1JPaPJpYUCsFn25ECZTZxU62mdrHTwYUkM
1JixzUPVmoeU25a84pUXf6xNfHBmoT8FXy
1EHUpUsHeLFNhLeivmkqZp4rYqivaq2Ghe
1CGAuzs7MRyXFpMnNTVsSvEknt2AxDPaLK
1JuaDBFmHFhV6ozKJbsnR9k3Mnv3PWB9GZ
1KRHnqXQyfLZuYVqPmfKSpZPNE4j2vCnRn
1JwHmAFSgrDsUV6ow9CvuYz4YKhiFHtdLm
1N7Vbc9bsYy6B4Qmf3Vr3wKjJJLf7xR4sk
1JkKmLkmuUg9g8UpzoJvrfz38bzYKKaA85
1GV5w1kvsybCiTk8EJ6JcwtioabaxPTF96
1M23DScXBhi1imqVqmTTvndrDQjACYpATp
1Kc3gPy54e68BsHVJreSqSHgm3fLeXnj2g
19PS9jCNYaQ4LnhJ3Yt8K9hcH6swBQi9pV
1CAxJ3uDxnAza79NfPbJXRoznYkA6w865Y
1DePnGTmKV8it1XQjXM9Y4cW7PhLQerFRY
14j7AZVuGMvTUavj1DRFE4Wp6dWGPrBeAc
165Echz8WdXjXdBZ8eAp6sUCPsWw8n62xg
1LEvqW3x8eF2jQeYLrjANAZWaFqvU3Xw7L
12AD1vSr1QcW2e2LZvMSHv63RXKT8eJUXo
15RTpbp2AfHp8d7Xgq8DbyNsT4rKDfxQCo
1BvJV9vp7Yg38rycEFtHxFYx9Aid2aD3RL
14UUWCMpLB6doUuTkUjsBAFXwpvCnADt9N

Now since we divided by 2^5, you will find at least one of those pubkeys/addresses in a new range (35 bit range; 40-5=35):
400000000:7FFFFFFFFF

So use kangaroo or BSGS to find pubkey in that new range or bitcrack to find addresses in that new range.



Wow, I just checked and found this match:

address: 1Kc3gPy54e68BsHVJreSqSHgm3fLeXnj2g
pubkey : 02133205BAD04B511DA446FE2E4777D15B1AAAA7E99B084E67A2968DAA7C1EB946
privkey : 74D72499E (35 bit)

I want to ask how you did get these 33 pubkeys?, I have read your previous messages but not getting it completely.
If we divide range 400000000:7FFFFFFFFF which is 7FFFFFFFFF (39 bit) by 2^5 then the result will be in decimal point, its not a perfect division.

So how do you do this? And how to derive those 33 pubkeys, Need little explanation.


Regards!!



Post
Topic
Board Bitcoin Discussion
Re: 🔥 WOW, Michael Saylor and Elon Musk, What do you think?
by
rkvishvam
on 25/05/2021, 11:27:51 UTC
Forming a Mining Council is against to the de-centralization.

May be after one or two year later, we'll see this headline: 'BITCOIN MINERS ARE FORMING A GLOBALLY BITCOIN CENTRAL BANK'.