Pages:
Author

Topic: Pollard's kangaroo ECDLP solver (Read 58537 times)

jr. member
Activity: 47
Merit: 13
September 23, 2024, 02:53:08 AM
Hello ther Smiley

Gratz to the solver of Puzzle # 130   Wink

I don't know if it was solved using Kangaroo  Huh Shocked
newbie
Activity: 7
Merit: 0
September 21, 2024, 10:43:32 AM
A proper pool effort that doesn't start with a 0% trust level will never send the full DP information to the pool operator.

Distributed work is not the same thing as a pool, it's a means of accelerating solving for a sole owner.

A trustworthy project would need to be able to guarantee to workers that they won't get screwed off, so full transparency is a must. One of those guarantees is full access to the server current state, such that any participant can vouch that the key wasn't yet found.

But this also means that the server itself is not corrupted (like hiding relevant data from workers once the key is found). But in order to do that, all DPs must be made public. However once they are public, then the pool itself becomes useless since someone can steal the DPs and use them outside of the pool.

How about this? Workers send the DPs, but without the distance. Server (or anyone) detects the collision, but is unable to compute the solution, since none of the required distances is known. They were found by two separate workers, each knowing half of the required information. So in order to solve, you need 3 parties:

- solver (holding the DP collision key)
- worker who found a DP of kangaroo type A
- worker who found same DP but of kangaroo type B

Build some strong information exchange scheme around these three such that none of them gets in the possession of the private key. A solution would be a 4th party trusted by all 3, running some software that, once the 3 parties each provide their own secret information (DP key, distance A, distance B), signs a BTC transaction which is agreed in advance by all of them.

How to do that? Use a decryption scheme such that the secret data each holds can only be decrypted if it was encrypted using a hash of the agreed transaction. There still remains the chance that the 4th party can steal the key once it's decrypted (or refuse to sign and broadcast the TX), so we still have a weak link. A solution would be that the software that decrypts and signs only runs when all the parties have access to it at the same time, so they can be sure that it will indeed sign and send the TX when they provide their encrypted part of the data.

See, there's a whole lot more to implement this, than simply adding a few % of speed to JLP with a bunch of micro-optimisations and calling it a pool.

Nice ideas, but considering the time it'll take to implement this, it is a lose-lose situation. Better off with less members yet start the pool sooner.

Quote
See, there's a whole lot more to implement this, than simply adding a few % of speed to JLP with a bunch of micro-optimisations and calling it a pool.

No one said we have a new kind of decentralized way of operating the pool, yet it is a pool.
member
Activity: 165
Merit: 26
September 21, 2024, 05:40:54 AM
A proper pool effort that doesn't start with a 0% trust level will never send the full DP information to the pool operator.

Distributed work is not the same thing as a pool, it's a means of accelerating solving for a sole owner.

A trustworthy project would need to be able to guarantee to workers that they won't get screwed off, so full transparency is a must. One of those guarantees is full access to the server current state, such that any participant can vouch that the key wasn't yet found.

But this also means that the server itself is not corrupted (like hiding relevant data from workers once the key is found). But in order to do that, all DPs must be made public. However once they are public, then the pool itself becomes useless since someone can steal the DPs and use them outside of the pool.

How about this? Workers send the DPs, but without the distance. Server (or anyone) detects the collision, but is unable to compute the solution, since none of the required distances is known. They were found by two separate workers, each knowing half of the required information. So in order to solve, you need 3 parties:

- solver (holding the DP collision key)
- worker who found a DP of kangaroo type A
- worker who found same DP but of kangaroo type B

Build some strong information exchange scheme around these three such that none of them gets in the possession of the private key. A solution would be a 4th party trusted by all 3, running some software that, once the 3 parties each provide their own secret information (DP key, distance A, distance B), signs a BTC transaction which is agreed in advance by all of them.

How to do that? Use a decryption scheme such that the secret data each holds can only be decrypted if it was encrypted using a hash of the agreed transaction. There still remains the chance that the 4th party can steal the key once it's decrypted (or refuse to sign and broadcast the TX), so we still have a weak link. A solution would be that the software that decrypts and signs only runs when all the parties have access to it at the same time, so they can be sure that it will indeed sign and send the TX when they provide their encrypted part of the data.

See, there's a whole lot more to implement this, than simply adding a few % of speed to JLP with a bunch of micro-optimisations and calling it a pool.
newbie
Activity: 7
Merit: 0
September 20, 2024, 12:31:40 PM
So I see you understand why the chance of wrong collision is near zero, astronomically low as you said.

You got it wrong. It was about the chance of a real collision. But whatever.

The chance to get two keys that share the same Y value in a distance of less than 2^129 in the interval is very low. with the same complexity as what you described before, I did get it right.
Hence in order to check if two points are equal it is practically waste of cycles to check both x and y values for equality.

Check this out on JLP's code:
https://github.com/JeanLucPons/Kangaroo/blob/master/SECPK1/Point.cpp#L75

If done properly, we only need to compare the y values.
member
Activity: 165
Merit: 26
September 20, 2024, 12:07:37 PM
So I see you understand why the chance of wrong collision is near zero, astronomically low as you said.

You got it wrong. It was about the chance of a real collision. But whatever.
newbie
Activity: 7
Merit: 0
September 20, 2024, 10:49:18 AM
How exactly is it three times more work? I think you misunderstand what I am saying

y**2 = x**3 + 7

So you have x1 x2 x3, right? If you want to take advantage of endo, then you collide on an invariant of ±y, right? Like y**2 or min(y, p - y) or maybe by parity (if (y & 1) then y = p - y) which is the fastest way.

Now what? You hope to find the same y of an endo class when jumping through the same interval? Well, your chances to hit an Y of another endo class is astronomically low, since they belong to other keys spread through the 256-bit key space, not necessarily your interval.

130-bit range has 2**129 Y values.
Each Y value has 2 (4) more endos for some other keys each somewhere in the 256-bit space.

Chances to hit some other Y than your own class in the 130-bit space is 6*2**129/2**256 more or less.
So you have something like 1 in 2**127 chances to ever find two Y of different endo classes in the same 2**130 key interval. It just becomes pointless extra computation.

Smarter way: make sure you jump through the other 2 endomorphic key intervals (so, 3 jump tables, adjust points as multiples of lambda). This way, you do 3x more work, but at least the chances of collision on Y are much more likely to occur, and the walks are all different, so even more chances to hit a collision.

So, first way is rather pointless (the chance to hit an endo Y is basically less than the chance to solve the puzzle itself), and the second one has no gains.

This is not what I'm doing. it's not even related... what I'm doing is when we try to compare two points, instead of comparing their x and y values, we just compare the Y values

Quote
Well, your chances to hit an Y of another endo class is astronomically low, since they belong to other keys spread through the 256-bit key space, not necessarily your interval.
So I see you understand why the chance of wrong collision is near zero, astronomically low as you said.
member
Activity: 165
Merit: 26
September 20, 2024, 10:40:22 AM
How exactly is it three times more work? I think you misunderstand what I am saying

y**2 = x**3 + 7

So you have x1 x2 x3, right? If you want to take advantage of endo, then you collide on an invariant of ±y, right? Like y**2 or min(y, p - y) or maybe by parity (if (y & 1) then y = p - y) which is the fastest way.

Now what? You hope to find the same y of an endo class when jumping through the same interval? Well, your chances to hit an Y of another endo class is astronomically low, since they belong to other keys spread through the 256-bit key space, not necessarily your interval.

130-bit range has 2**129 Y values.
Each Y value has 2 (4) more endos for some other keys each somewhere in the 256-bit space.

Chances to hit some other Y than your own class in the 130-bit space is 6*2**129/2**256 more or less.
So you have something like 1 in 2**127 chances to ever find two Y of different endo classes in the same 2**130 key interval. It just becomes pointless extra computation.

Now, since it takes somewhere like 2**65 operations to solve bit 130, then a basic conclusion is:

You'd have to solve around 2**62 130-bit puzzles before you ever get an collision on an Y between two different endo classes, on average..

Smarter way: make sure you jump through the other 2 endomorphic key intervals (so, 3 jump tables, adjust points as multiples of lambda). This way, you do 3x more work, but at least the chances of collision on Y are much more likely to occur, and the walks are all different, so even more chances to hit a collision.

So, first way is rather pointless (the chance to hit an endo Y is basically less than the chance to solve the puzzle itself), and the second one has no gains.
newbie
Activity: 7
Merit: 0
September 20, 2024, 10:16:22 AM
By endomorphism I mean the different solutions to y^2 = x^3 + 7 mod P. the chance of wrong collision in the range is close to zero. if you see difference X values in the solution, x1, x2, and x3, you see their difference is usually much larger than 2^129.

That is a rabbit hole... there is no academic proof that endomorphism can be used to speed up attacks on ECDLP in an interval. People are trying for 20-30 years to take advantage of it, no success so far by anyone. It is only useful if you're attacking the full-blown 256-bit private key range, anything under 254 bits is pointless to use endomorphism on. Again, 3x more work with 3x more collision chances = same work. Of course it always works, I made lots of tests of kangaroos jumping through endo equivalence classes, but guess what? It doesn't result in a faster collision, it just, again, means you have 3x more jumps and 3x more chances of collision = same runtime. It's all an illusion, it's a zero-sum gain.

How exactly is it three times more work? I think you misunderstand what I am saying
member
Activity: 165
Merit: 26
September 20, 2024, 10:10:53 AM
By endomorphism I mean the different solutions to y^2 = x^3 + 7 mod P. the chance of wrong collision in the range is close to zero. if you see difference X values in the solution, x1, x2, and x3, you see their difference is usually much larger than 2^129.

That is a rabbit hole... there is no academic proof that endomorphism can be used to speed up attacks on ECDLP in an interval. People are trying for 20-30 years to take advantage of it, no success so far by anyone. It is only useful if you're attacking the full-blown 256-bit private key range, anything under 254 bits is pointless to use endomorphism on. Again, 3x more work with 3x more collision chances = same work. Of course it always works, I made lots of tests of kangaroos jumping through endo equivalence classes, but guess what? It doesn't result in a faster collision, it just, again, means you have 3x more jumps and 3x more chances of collision = same runtime. It's all an illusion, it's a zero-sum gain.
newbie
Activity: 7
Merit: 0
September 20, 2024, 09:59:12 AM
Quote
Do you know what "useless" means? If you are doing 3x more work and have 3x more chances of success, than a 2nd grade student can tell you the total work time is identical, even worse due to the overhead.

This has nothing to do with what we talk about.

Quote
Or maybe I haven't understood what you mean by endomorphism. Maybe you meant the symmetry? But we have other issues there, and honestly, again, I don't have time to review your code since you have no common GIT ref to the original work, so it would just be a waste of time. And you don't seem to offer some actual "what's changed", so you're asking us to simply trust your changes, which may very well be bad thinking on your side. If it's symmetry - do you account for the fact that some kangaroo can arrive at the point at infinity? That they can suffer doublings? There are dozens of things that can go wrong.  And simply looking at your code, it just seems identical to JLP, no offense.

By endomorphism I mean the different solutions to y^2 = x^3 + 7 mod P. the chance of wrong collision in the range is close to zero. if you see difference X values in the solution, x1, x2, and x3, you see their difference is usually much larger than 2^129.

Quote
so you're asking us to simply trust your changes

I don't expect anything from you. If you don't trust me, simply read the code, it's open source!

Quote
How is one suppose to trust your "pool"? Who is in control of the final merged work files? Why would one use their GPU to mine DPs that are sent to a machine outside of their control? Who gets the prize? Where's the code that enables an user to be rewarded based on his contributions? Do you even have a strategy for them, or just ask us to pay kWh of electricity for your own final benefit?

The information about the reward distribution is available at the webpage. your argument against pools is valid for any such pool, not specifically mine.
member
Activity: 165
Merit: 26
September 20, 2024, 09:31:25 AM
1. If you would of been reading the readme file, you will see the credit to JLP
2. So you essentially confirm my assumption. You judge too fast - you didn't even read any of the code. good job!

Quote
Endomorphism does not work for low bit-ranges, it only works if you solve a bit range of 254 bits or higher. So that is useless to implement if solving for private keys below 254 bits.

This is just nonsense, it always works, regardless of the interval/range

Do you know what "useless" means? If you are doing 3x more work and have 3x more chances of success, than a 2nd grade student can tell you the total work time is identical, even worse due to the overhead.

Or maybe I haven't understood what you mean by endomorphism. Maybe you meant the symmetry? But we have other issues there, and honestly, again, I don't have time to review your code since you have no common GIT ref to the original work, so it would just be a waste of time. And you don't seem to offer some actual "what's changed", so you're asking us to simply trust your changes, which may very well be bad thinking on your side. If it's symmetry - do you account for the fact that some kangaroo can arrive at the point at infinity? That they can suffer doublings? There are dozens of things that can go wrong.  And simply looking at your code, it just seems identical to JLP, no offense.

Quote
only takes 10 seconds of my life, to reach a definitive conclusion.

Again, without even reading the readme file/any of the code, and yet you think you can come to "definitive conclusions" on it. THIS IS SILLY.

Yes, it's silly to think anyone can credit you based on pure faith. Again, why don't you have a common GIT code base with the original work, so we can actually discuss about your improvements that you think are worth it?

Next time better not to claim such things without seeing them first.

What is your intent? Anyone can patch JLP to fix the 125-bit limitation, but it IS STILL THE SAME CODE in all principle. How is one suppose to trust your "pool"? Who is in control of the final merged work files? Why would one use their GPU to mine DPs that are sent to a machine outside of their control? Who gets the prize? Where's the code that enables an user to be rewarded based on his contributions? Do you even have a strategy for them, or just ask us to pay kWh of electricity for your own final benefit?
newbie
Activity: 7
Merit: 0
September 20, 2024, 07:52:31 AM
Not all of you, but some, like you, judge the code before reading it. there is no backdoor - it's open source, just read it. if you find any backdoor, please, post it here so we can all know Smiley
Besides, if you actually take time to read and compare the code you will see some differences:
256-bit integers instead of 128-bit used, so the interval search range is 254 bits
Some endomorphism properties are used (like comparing only the y coordinate values)
Major code clean-ups and removed redundant code from the loops in some important functions like SolveKeyCPU.

So yes, you either judge too fast or simply an idiot.

So, in other words, you confirm as taking at least me as an idiot. Good job on that.

Do you think I will afford losing a few hours of my life to actually do diffs on "your" code against JLP base code? Without even having some common GIT ref commit? It's 99.99% the same code, same structure, same files, same strategies, same pitfalls. Aesthetic code style updates and cleanup / dead code removal are still the same freaking code in the end, what are you doing, a compiler's job? And to make the claim that you are dishonest only takes 10 seconds of my life, to reach a definitive conclusion.

Copy pasting a project, removing all references to the original author, and not even bothering to give credit, is called plagiarism.

You're like the kid from the school that has their homework done by others, changes a few words, and tries to claim it as his own work. Teachers are not stupid, you know?

Endomorphism does not work for low bit-ranges, it only works if you solve a bit range of 254 bits or higher. So that is useless to implement if solving for private keys below 254 bits.

You want to present original work? How about this: actually understand the problem, and start from a scratch blank folder. You will always reach to something different than what you've copy pasted, updated here and there, and claimed as original.

So what exactly is your intent?


1. If you would of been reading the readme file, you will see the credit to JLP
2. So you essentially confirm my assumption. You judge too fast - you didn't even read any of the code. good job!

Quote
Endomorphism does not work for low bit-ranges, it only works if you solve a bit range of 254 bits or higher. So that is useless to implement if solving for private keys below 254 bits.

This is just nonsense, it always works, regardless of the interval/range

Quote
only takes 10 seconds of my life, to reach a definitive conclusion.

Again, without even reading the readme file/any of the code, and yet you think you can come to "definitive conclusions" on it. THIS IS SILLY.

Next time better not to claim such things without seeing them first.



Quote
Aesthetic code style updates and cleanup / dead code removal are still the same freaking code in the end

The performance are a few percentages better, for your information. It is not just "aesthetic code style" updates.

Mod note: Consecutive posts merged
member
Activity: 165
Merit: 26
September 20, 2024, 07:33:36 AM
Not all of you, but some, like you, judge the code before reading it. there is no backdoor - it's open source, just read it. if you find any backdoor, please, post it here so we can all know Smiley
Besides, if you actually take time to read and compare the code you will see some differences:
256-bit integers instead of 128-bit used, so the interval search range is 254 bits
Some endomorphism properties are used (like comparing only the y coordinate values)
Major code clean-ups and removed redundant code from the loops in some important functions like SolveKeyCPU.

So yes, you either judge too fast or simply an idiot.

So, in other words, you confirm as taking at least me as an idiot. Good job on that.

Do you think I will afford losing a few hours of my life to actually do diffs on "your" code against JLP base code? Without even having some common GIT ref commit? It's 99.99% the same code, same structure, same files, same strategies, same pitfalls. Aesthetic code style updates and cleanup / dead code removal are still the same freaking code in the end, what are you doing, a compiler's job? And to make the claim that you are dishonest only takes 10 seconds of my life, to reach a definitive conclusion.

Copy pasting a project, removing all references to the original author, and not even bothering to give credit, is called plagiarism.

You're like the kid from the school that has their homework done by others, changes a few words, and tries to claim it as his own work. Teachers are not stupid, you know?

Endomorphism does not work for low bit-ranges, it only works if you solve a bit range of 254 bits or higher. So that is useless to implement if solving for private keys below 254 bits.

You want to present original work? How about this: actually understand the problem, and start from a scratch blank folder. You will always reach to something different than what you've copy pasted, updated here and there, and claimed as original.

So what exactly is your intent?
newbie
Activity: 7
Merit: 0
September 20, 2024, 06:56:41 AM
Fair warning for a post from a new bitcointalk user, but what updates are you referring to? you can check the code out, and see the differences between JLP's version and mine (The repository I forked from is my personal one)

About this phrase: "The so-called "updates" in their fork are not significant improvements to the code." -  Too bad you didn't take a minute to check the updates of the code and just checked the differences between the personal and project repositories...

I think you're trying to take all of us for idiots. Your so-called repo and updates are literally JLP's Kangaroo, so it's just another clone with high chances of backdoors added.

Not all of you, but some, like you, judge the code before reading it. there is no backdoor - it's open source, just read it. if you find any backdoor, please, post it here so we can all know Smiley
Besides, if you actually take time to read and compare the code you will see some differences:
256-bit integers instead of 128-bit used, so the interval search range is 254 bits
Some endomorphism properties are used (like comparing only the y coordinate values)
Major code clean-ups and removed redundant code from the loops in some important functions like SolveKeyCPU.

So yes, you either judge too fast or simply an idiot.
member
Activity: 165
Merit: 26
September 20, 2024, 06:50:14 AM
Fair warning for a post from a new bitcointalk user, but what updates are you referring to? you can check the code out, and see the differences between JLP's version and mine (The repository I forked from is my personal one)

About this phrase: "The so-called "updates" in their fork are not significant improvements to the code." -  Too bad you didn't take a minute to check the updates of the code and just checked the differences between the personal and project repositories...

I think you're trying to take all of us for idiots. Your so-called repo and updates are literally JLP's Kangaroo, so it's just another clone with high chances of backdoors added.
newbie
Activity: 7
Merit: 0
September 20, 2024, 03:07:34 AM
We have a pool for puzzle 130, with our 254-bit interval implementation:
https://github.com/puzzlesearch/kangaroo

check out our website:
https://puzzlesearch.github.io/

We are looking for new members to join our pool! currently we have computing power equivalent to 7 4090s. Soon we will rent more 4090s.

It's a bit concerning that this post is coming from a fresh account with no history or reputation on the forum. Why should anyone trust a pool run by completely unknown operators with no track record to speak of? Joining a pool like this, without knowing who's behind it or seeing any proof of past success, is risky at best and could very well be a scam.

After checking the linked GitHub repository, things look even more suspicious. The so-called "updates" in their fork are not significant improvements to the code. In fact, it just adds an option to connect to a specific IP address (129.159.146.90) instead running it locally on the own GPU. If you even watched carefully the updates are from the last minutes/hours, so it looks the Github repository is as fresh as the user account "bitcurve".

For anyone considering joining, I'd strongly urge you to think twice. If something goes wrong, the regret and potential loss could be much worse than you expect. Please be cautious when dealing with new and unverified projects like this. Stay safe and always verify the legitimacy of projects before committing any resources.

Even the age and reputation of the account mean nothing. The account can be stolen, which we often see in the announcements of new projects.
And this does not depend on the platform.
I have had three accounts stolen here alone, although this did not happen on GitHub, but there I immediately connected 2FA.

https://i.ibb.co/LxgBv7z/Screenshot-3.png

I can post a link to this thread on github if you want to authenticate me...
copper member
Activity: 198
Merit: 1
September 20, 2024, 03:04:18 AM
We have a pool for puzzle 130, with our 254-bit interval implementation:
https://github.com/puzzlesearch/kangaroo

check out our website:
https://puzzlesearch.github.io/

We are looking for new members to join our pool! currently we have computing power equivalent to 7 4090s. Soon we will rent more 4090s.

It's a bit concerning that this post is coming from a fresh account with no history or reputation on the forum. Why should anyone trust a pool run by completely unknown operators with no track record to speak of? Joining a pool like this, without knowing who's behind it or seeing any proof of past success, is risky at best and could very well be a scam.

After checking the linked GitHub repository, things look even more suspicious. The so-called "updates" in their fork are not significant improvements to the code. In fact, it just adds an option to connect to a specific IP address (129.159.146.90) instead running it locally on the own GPU. If you even watched carefully the updates are from the last minutes/hours, so it looks the Github repository is as fresh as the user account "bitcurve".

For anyone considering joining, I'd strongly urge you to think twice. If something goes wrong, the regret and potential loss could be much worse than you expect. Please be cautious when dealing with new and unverified projects like this. Stay safe and always verify the legitimacy of projects before committing any resources.

Even the age and reputation of the account mean nothing. The account can be stolen, which we often see in the announcements of new projects.
And this does not depend on the platform.
I have had three accounts stolen here alone, although this did not happen on GitHub, but there I immediately connected 2FA.

newbie
Activity: 7
Merit: 0
September 20, 2024, 02:47:36 AM
Quote

It's a bit concerning that this post is coming from a fresh account with no history or reputation on the forum. Why should anyone trust a pool run by completely unknown operators with no track record to speak of? Joining a pool like this, without knowing who's behind it or seeing any proof of past success, is risky at best and could very well be a scam.

After checking the linked GitHub repository, things look even more suspicious. The so-called "updates" in their fork are not significant improvements to the code. In fact, it just adds an option to connect to a specific IP address (129.159.146.90) instead running it locally on the own GPU. If you even watched carefully the updates are from the last minutes/hours, so it looks the Github repository is as fresh as the user account "bitcurve".

For anyone considering joining, I'd strongly urge you to think twice. If something goes wrong, the regret and potential loss could be much worse than you expect. Please be cautious when dealing with new and unverified projects like this. Stay safe and always verify the legitimacy of projects before committing any resources.

Fair warning for a post from a new bitcointalk user, but what updates are you referring to? you can check the code out, and see the differences between JLP's version and mine (The repository I forked from is my personal one)
Besides, any pool cannot be 100% trusted, but I believe you can trust me, I don't hide my identity nor my code, my GitHub profile has been active for over a few years with many contributions to many projects.
I think the fact that you replied to the post just a minute after I posted can tell us how quickly you judged the project.

* edit * To clarify my github account is github.com/GiladLeef and the project account is github.com/Puzzlesearch. I see where the confusion come from now.
About this phrase: "The so-called "updates" in their fork are not significant improvements to the code." -  Too bad you didn't take a minute to check the updates of the code and just checked the differences between the personal and project repositories...
hero member
Activity: 630
Merit: 731
Bitcoin g33k
September 20, 2024, 02:37:27 AM
We have a pool for puzzle 130, with our 254-bit interval implementation:
https://github.com/puzzlesearch/kangaroo

check out our website:
https://puzzlesearch.github.io/

We are looking for new members to join our pool! currently we have computing power equivalent to 7 4090s. Soon we will rent more 4090s.

It's a bit concerning that this post is coming from a fresh account with no history or reputation on the forum. Why should anyone trust a pool run by completely unknown operators with no track record to speak of? Joining a pool like this, without knowing who's behind it or seeing any proof of past success, is risky at best and could very well be a scam.

After checking the linked GitHub repository, things look even more suspicious. The so-called "updates" in their fork are not significant improvements to the code. In fact, it just adds an option to connect to a specific IP address (129.159.146.90) instead running it locally on the own GPU. If you even watched carefully the updates are from the last minutes/hours, so it looks the Github repository is as fresh as the user account "bitcurve".

For anyone considering joining, I'd strongly urge you to think twice. If something goes wrong, the regret and potential loss could be much worse than you expect. Please be cautious when dealing with new and unverified projects like this. Stay safe and always verify the legitimacy of projects before committing any resources.
newbie
Activity: 7
Merit: 0
September 20, 2024, 02:28:15 AM
We have a pool for puzzle 130, with our 254-bit interval implementation:
https://github.com/puzzlesearch/kangaroo

check out our website:
https://puzzlesearch.github.io/

We are looking for new members to join our pool! currently we have computing power equivalent to 7 4090s. Soon we will rent more 4090s.
Pages:
Jump to: