Pollard's kangaroo ECDLP solver

[WanderingPhilospher]

because Jean_Luc's Kangaroo just makes DPs by putting zeros at the left of the number until there are 32, or whatever the size of the DP, bits left.

The program doesn't add or just make DPs or just add zeros, those are actual DPs within the actual pubkey.

If you take this private key:
43de528a515bcced5665c496838b

The actual public key is:
0200000000b1dc84f28a1d971aec280000104f08c1ff34fa980ffe0ab97846c7d4

So as you can see, it has (take away the leading 02) 00000000 leading DPs which equals a 32 bit DP, 8 zeros times 4.

[1715556284]

1715556284

[1715556284]

1715556284

[1715556284]

1715556284

[bigvito19]

As you see in the images above the person that solved #110 and #115.

Example with #120 using 32 bit Dp: Operations = 2^(120/2+1) = 2^61.

61 - 32 = 29

32 + 29 = 61 When you merged both work files they both should be 2^29 each, then they should equal to 61 or close to it.

So 32 bit Dps for #120 is 536,870,912

That is the expected # you have to find before finding the solution, not how many x bit DPs exist in the range.

Oh well that depends on what size of the DP you're using then. So does it looks for x and y bit DPs or just x bit DPs?

[NotATether]

..

32 + 29 = 61 When you merged both work files they both should be 2^29 each, then they should equal to 61 or close to it.

Ah ok, so this is measuring just the number of DPs Kangaroo needs for a 50% collision, not all the possible DPs in a range.

Oh well that depends on what size of the DP you're using then. So does it looks for x and y bit DPs or just x bit DPs?

The algorithm for deriving the y point from the x point uses two modular exponentations so chances are it's probably not going to have the same leading zeros for x if at all, i.e only x DPs are considered.

[crytolog]

i am using gtx 970 gpu and win 10. how can i use kangaroo? can anybody instruct me? i downloded kangaroo.exe but i dont know how to use it. thank you in advance

[WanderingPhilospher]

i am using gtx 970 gpu and win 10. how can i use kangaroo? can anybody instruct me? i downloded kangaroo.exe but i dont know how to use it. thank you in advance

Simplest way:

Setup your input file; line 1 is start range, line 2 is end range, line 3 is public key you are searching for:
Example input file (we will call it input.txt):

Code:

1
FFFFFFFFFFFFFFFFFF
038DB9A3FC1A4A4721A8F79F5A38DA2379D352CA0666554B0E401C33BD4A3DB123

Now, set up batch file (we will call it KangarooStart.bat):

Code:

Kangaroo -t 3 -d 12 -gpu -gpuId 0 -o results.txt input.txt

This is where you tell the program what you want. Kangaroo is the name of the program (.exe file) -t how many cpu threads you want to use -d the number of distinguished points (in bits) you want to search for - gpu lets it know you want to use a gpu, -gpuId is the device number of the gpu you want to use (if you only have one gpu, you can leave out this option) -o is where you want the results to be stored once program finds the key, and the last entry in batch file is the input file we created above (start and end range and public key).

[crytolog]

i am using gtx 970 gpu and win 10. how can i use kangaroo? can anybody instruct me? i downloded kangaroo.exe but i dont know how to use it. thank you in advance

Simplest way:

Setup your input file; line 1 is start range, line 2 is end range, line 3 is public key you are searching for:
Example input file (we will call it input.txt):

Code:

1
FFFFFFFFFFFFFFFFFF
038DB9A3FC1A4A4721A8F79F5A38DA2379D352CA0666554B0E401C33BD4A3DB123

Now, set up batch file (we will call it KangarooStart.bat):

Code:

Kangaroo -t 3 -d 12 -gpu -gpuId 0 -o results.txt input.txt

This is where you tell the program what you want. Kangaroo is the name of the program (.exe file) -t how many cpu threads you want to use -d the number of distinguished points (in bits) you want to search for - gpu lets it know you want to use a gpu, -gpuId is the device number of the gpu you want to use (if you only have one gpu, you can leave out this option) -o is where you want the results to be stored once program finds the key, and the last entry in batch file is the input file we created above (start and end range and public key).

thank you very much for the information. i have one more question, i want to use it in puzzle 64 how can i find publickey?

[WanderingPhilospher]

i am using gtx 970 gpu and win 10. how can i use kangaroo? can anybody instruct me? i downloded kangaroo.exe but i dont know how to use it. thank you in advance

Simplest way:

Setup your input file; line 1 is start range, line 2 is end range, line 3 is public key you are searching for:
Example input file (we will call it input.txt):

Code:

1
FFFFFFFFFFFFFFFFFF
038DB9A3FC1A4A4721A8F79F5A38DA2379D352CA0666554B0E401C33BD4A3DB123

Now, set up batch file (we will call it KangarooStart.bat):

Code:

Kangaroo -t 3 -d 12 -gpu -gpuId 0 -o results.txt input.txt

This is where you tell the program what you want. Kangaroo is the name of the program (.exe file) -t how many cpu threads you want to use -d the number of distinguished points (in bits) you want to search for - gpu lets it know you want to use a gpu, -gpuId is the device number of the gpu you want to use (if you only have one gpu, you can leave out this option) -o is where you want the results to be stored once program finds the key, and the last entry in batch file is the input file we created above (start and end range and public key).

thank you very much for the information. i have one more question, i want to use it in puzzle 64 how can i find publickey?

You cannot find the public key for #64, it has not been exposed in a transaction therefore the Kangaroo program will not help you find #64. You have to look at the ones with known public keys, #120, #125....(incremented by 5) through #160

[bigvito19]

For the really smart people out there...I had read somewhere that a pubkey may have 2 X coordinates, maybe 3 X coordinates, can't really remember.

Each pubkey has only 1 X coordinate and 1 Y coordinate. And only 1 private key.

There are 2 pubkeys that share the same X coordinate (for each valid X coordinate) but they have different Y coordinates:

if A = (X,Y) then  B = -A = (X, p-Y)

(p =  2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1)


There are 3 pubkeys that share the same Y coordinate (for each valid Y coordinate) but they have different X coordinates:

if A = (X,Y) then B = k*A = (beta*X, Y) and C = k*k*A = (beta*beta*X, Y)

(k = 0x5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72  
and  beta = 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee)

There are about 2^256 points on secp256k1, (to be precise n = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141) and Fp (the field of the coordinates X e Y) has about the same size;

that means that about 1/3 of the all possible values of Y are valid Y coordinates (are coordinates of a point/pub key) and about 1/2 of all the possible values of X are valid X coordinates.

That's all.

that means that about 1/3 of the all possible values of Y are valid Y coordinates (are coordinates of a point/pub key) and about 1/2 of all the possible values of X are valid X coordinates.

Maybe we can use that as an optimization and go through all the X values, and check that (X² + 7) mod p gives a cubed number which would imply a valid Y. This would eliminate half of the search space. Similarly we can go through all the Y values and calculate Y³ mod p is a square number which implies a valid X and eliminate 2/3s of the search space.

Since the invalid points derived for each X and Y don't overlap, we have already removed 1/2 * 2/3 = 1/3 of the total possible search space like that.

I know its been a month since this was posted, but this couldn't be taking in consideration for kangaroo?

[NotATether]

I know its been a month since this was posted, but this couldn't be taking in consideration for kangaroo?

AFAIK, it's already built in by virtue of the algorithm always hopping to valid points.

Since the invalid points derived for each X and Y don't overlap, we have already removed 1/2 * 2/3 = 1/3 of the total possible search space like that.

No, because all the tame and the wild move directly (jump) between the points (with valid coordinates); the points are about 2^256:

(1/2 * 2^256 X coordinates) * (2 valid Y coordinates) = 2^256 points.

However even though we only look at half the private keys with an X coordinate, since we also look at their two Y coordinates this doesn't decrease how many points we're searching at all (still 2^256).

[rama_rao]

Broke - Running kangaroo on 120th puzzle transaction with 2^119 search space and get 1.2 BTC

Woke - Running kangaroo on 5th richest BTC address with 2^256 search space and get >84,000 BTC


Pls help me if we can get public key from p2sh or bech addresses. I'll run on 1st richest wallet. If he universe wants me to have those, I'll get those. Only if we are living in a simulation...

[NotATether]

...
Pls help me if we can get public key from p2sh or bech addresses. I'll run on 1st richest wallet.

First of all you are better off not using this for random addresses that have a lot of money, because their difficulty is ASTRONOMICALLY GREATER (you probably don't need a lecture about this) than an address with specialized information about it like the puzzle transaction.

As for getting public keys associated with the addresses, this is only possible if there is at least one transaction associated with the address, which'll always be the cease if you're talking about funded addresses. Use blockchain.info to find a transaction involving the address you want to run Kangaroo on, then copy the transaction ID and paste it into blockstream.info, select the "Details" button, and under the address there will be a bunch of of information at "scriptsig (asm)", where you will find the public key there.

We need two block explorers to accomplish this because Blockchain doesn't show public keys, and Blockstream can't search by address.


Don't bother trying to brute force this, it's in a hot wallet that was included in the block mined just now. It'll definitely move somewhere else later.

That red underlined hex number is the public key for the address that Blockstream's block explorer shows.

[MeBender]

Here is a list of all known public keys in the top 10,000 addresses that I scraped with a python script and blockchain.com's API, each address has at least $10 million worth of bitcoin. Knock yourselves out!

*Edit: here is the API for getting the public key from an address if it is known: https://www.blockchain.com/api/q/pubkeyaddr/{ADDRESS}

PART 1:

Code:

024b83426cf9bff257261d87f2f2858b51b2eea756c0123c7e05bc0a007425c9f2
03a66af64bd473394550d16584921c82a18d7efff5e521bce6ea9e2b50dc8606dc
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[MeBender]

PART 2:

Code:

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[MeBender]

PART 3:

Code:

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03b201bd349129a9ae265ca45cec250a7ba0d36b64c8776a72d495ae67ce127c51
03c0d5f3958e19f513c5bdc4aaa6e49bf0c04975304efccdda544ec23f295f4ccf
03606fde3c55a756c84e0c24fd5fc6bffca6716d1ef8b147bd5f9eb8a47f26443f
03a0eaf4b2ff65ffc02d7f561d2b94df2a390a1fcc1942f52c7a9270fcb5f9610f
043ed41a8a6f4a29b92e6c9f46588903816f57c1a08c8b70e8e7dfad34e14513c5f08764d3ca275b7bcb50d32b509d399557517c212743fa692cbaf48362a7dc7e
04c83663eb044f3ac09f644ab3caaf34896ab4ec498d889e0b9a2182d0ca76dc214a44629b4c5cb50019eb37a2282f9c8cbf89a2111daed941d8f62c48d08bfded

[bigvito19]

Here is a list of all known public keys in the top 10,000 addresses that I scraped with a python script and blockchain.com's API, each address has at least $10 million worth of bitcoin. Knock yourselves out!

*Edit: here is the API for getting the public key from an address if it is known: https://www.blockchain.com/api/q/pubkeyaddr/{ADDRESS}

Thanks for the list, do you have the whole file for all the 10,000 addresses?

Now if we could check for multiple public keys simultaneously and merge files to check different keys that can be solved.

[renedx]

Here is a list of all known public keys in the top 10,000 addresses that I scraped with a python script and blockchain.com's API, each address has at least $10 million worth of bitcoin. Knock yourselves out!

*Edit: here is the API for getting the public key from an address if it is known: https://www.blockchain.com/api/q/pubkeyaddr/{ADDRESS}

Thanks for the list, do you have the whole file for all the 10,000 addresses?

Now if we could check for multiple public keys simultaneously and merge files to check different keys that can be solved.

Besides of this being stealing, you're better of buying a lottery ticket. The amount of numbers you'll need to hit, for a random wallet, is beyond what's possible these days.
Cracking just puzzle #120, would take months with significant processing power and knowing the private space to search in. Don't even start thinking about these wallets.

Edit: Ah, I see you're a full member. You're well aware of this 

[MeBender]

Here is a list of all known public keys in the top 10,000 addresses that I scraped with a python script and blockchain.com's API, each address has at least $10 million worth of bitcoin. Knock yourselves out!

*Edit: here is the API for getting the public key from an address if it is known: https://www.blockchain.com/api/q/pubkeyaddr/{ADDRESS}

Thanks for the list, do you have the whole file for all the 10,000 addresses?

Now if we could check for multiple public keys simultaneously and merge files to check different keys that can be solved.

Besides of this being stealing, you're better of buying a lottery ticket. The amount of numbers you'll need to hit, for a random wallet, is beyond what's possible these days.
Cracking just puzzle #120, would take months with significant processing power and knowing the private space to search in. Don't even start thinking about these wallets.

Edit: Ah, I see you're a full member. You're well aware of this 

Is it actually stealing though?

[NotATether]

Is it actually stealing though?

Cracking addresses that were meant to be cracked such as the puzzle transactions is not sealing of course. But if I were you, in the hypothetical event you managed to find the private key for some random address, I would leave them alone and not ever share the results with anyone. It may be that the owner intentionally left the bitcoins stowed away to use many years later e.g Hal's children.

[MeBender]

Is it actually stealing though?

Cracking addresses that were meant to be cracked such as the puzzle transactions is not sealing of course. But if I were you, in the hypothetical event you managed to find the private key for some random address, I would leave them alone and not ever share the results with anyone. It may be that the owner intentionally left the bitcoins stowed away to use many years later e.g Hal's children.

I guess that is a good point. I doubt anyone will ever crack one of the wallets I posted though lol

[MeBender]

I pushed my little public key gathering script to github if anybody wants it!

https://github.com/GonzoTheDev/BitcoinPublicKeyGrabber