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Topic: Pollard's kangaroo ECDLP solver (Read 59295 times)

newbie
Activity: 1
Merit: 0
November 20, 2024, 06:01:26 AM
??
member
Activity: 239
Merit: 53
New ideas will be criticized and then admired.
November 19, 2024, 10:20:43 AM
Hello everyone, I have a problem when compiling Kangaroo on windows

error: '_udiv128' was not declared in this scope , any solution?

you should replace that function in Int.cpp with this one:

Code:
void Int::Div(Int *a, Int *mod) {
  if (a->IsGreater(this)) {
    if (mod) mod->Set(this);
    CLEAR();
    return;
  }

  if (a->IsZero()) {
    printf("Divide by 0!\n");
    return;
  }

  if (IsEqual(a)) {
    if (mod) mod->CLEAR();
    Set(&_ONE);
    return;
  }

  Int rem(this);
  Int d(a);
  Int dq;
  CLEAR();

  // Size
  uint32_t dSize = d.GetSize64();
  uint32_t tSize = rem.GetSize64();
  uint32_t qSize = tSize - dSize + 1;

  // D1 normalize the divisor (d!=0)
  uint32_t shift = (uint32_t)LZC(d.bits64[dSize - 1]);
  d.ShiftL(shift);
  rem.ShiftL(shift);

  uint64_t _dh = d.bits64[dSize - 1];
  uint64_t _dl = (dSize > 1) ? d.bits64[dSize - 2] : 0;
  int sb = tSize - 1;

  // D2 Initialize j
  for (int j = 0; j < (int)qSize; j++) {
    // D3 Estimate qhat
    uint64_t qhat = 0;
    uint64_t qrem = 0;
    int skipCorrection = false;
    uint64_t nh = rem.bits64[sb - j + 1];
    uint64_t nm = rem.bits64[sb - j];

    if (nh == _dh) {
      qhat = ~0;
      qrem = nh + nm;
      skipCorrection = qrem < nh;
    } else {
      __uint128_t dividend = ((__uint128_t)nh << 64) | nm;
      qhat = dividend / _dh;
      qrem = dividend % _dh;
    }

    if (qhat == 0)
      continue;

    if (!skipCorrection) {
      // Correct qhat
      uint64_t nl = rem.bits64[sb - j - 1];

      uint64_t estProH;
      uint64_t estProL = _umul128(_dl, qhat, &estProH);
      if (isStrictGreater128(estProH, estProL, qrem, nl)) {
        qhat--;
        qrem += _dh;
        if (qrem >= _dh) {
          estProL = _umul128(_dl, qhat, &estProH);
          if (isStrictGreater128(estProH, estProL, qrem, nl))
            qhat--;
        }
      }
    }
 
    dq.Mult(&d, qhat);
    rem.ShiftL64BitAndSub(&dq, qSize - j - 1);
    if (rem.IsNegative()) {
      // Overflow
      rem.Add(&d);
      qhat--;
    }

    bits64[qSize - j - 1] = qhat;
  }

  if (mod) {
    rem.ShiftR(shift);
    mod->Set(&rem);
  }
}
newbie
Activity: 7
Merit: 0
November 18, 2024, 12:59:01 AM
Hello everyone, I have a problem when compiling Kangaroo on windows

error: '_udiv128' was not declared in this scope , any solution?

Yes. This is a common error.

What compiler (and version of that compiler are you using)? I have a working-out-of-the-box CPU-only Native windows/GCC version with 254 bit range, with a fix to that, you can copy paste that into your code. Let me know if you want some help, it shouldn't take long to fix it.
jr. member
Activity: 35
Merit: 1
November 17, 2024, 12:57:46 PM
Hello everyone, I have a problem when compiling Kangaroo on windows

error: '_udiv128' was not declared in this scope , any solution?
newbie
Activity: 14
Merit: 0
November 17, 2024, 05:20:42 AM
Hi everybody,
I'm writing a  light beta library in C  to run Pollard kangaroo algorithm on ARM64 CPU.

I am at the very beginning of this project but i am able to do benchmark.

when the library will be functionnal i will posted it on github.

the library (a shared object file) will be callable by python with ctypes module
The herds  of kangaroos will be controlled directly with python (for convenience and ease).
The idea is to have a lot of clients running on ARM64 low cost CPU to compute parallelized secp256k1 points additions  .
The memory (DP  points of a client) will be returned with a client-server socket data transfer (server will have the main hashtable of DP ) as the Kangaroo software from Jean-Luc Pons.

The first benchmark on ARM (Raspberry PI 400 without overclocking ) are better than I expected (around 30MKeys/s with 4 cores).

What do you think about this performance ?
Do you know if there is a very low cost card (mini PC) with ARM CPU (similar to raspberry pi compute module 4 see link below)  to do the work (in a parallelized way) and see if the ratio (computing power)/price might be better compared to the latest GPU CUDA Compatible graphics card.

https://www.raspberrypi.org/products/compute-module-4/?variant=raspberry-pi-cm4001000


Is this ARM64 code published somewhere ? I would like to run some tests in some raspberries.
full member
Activity: 706
Merit: 111
November 14, 2024, 03:13:47 PM
Code:
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129 |                                                                  | 1Hz3uv3nNZzBVMXLGadCucgjiCs5W9vaGz | 680564733841876926926749214863536422911          | ========================== U N K N O W N ========================= | ____-__-__
130 |                   ****UNKNOWN PRIVATE KEY****                    | 1Fo65aKq8s8iquMt6weF1rku1moWVEd5Ua | 1361129467683753853853498429727072845823         | 03633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852 | 2024-09-23
131 |                                                                  | 16zRPnT8znwq42q7XeMkZUhb1bKqgRogyy | 2722258935367507707706996859454145691647         | ========================== U N K N O W N ========================= | ____-__-__
132 |                                                                  | 1KrU4dHE5WrW8rhWDsTRjR21r8t3dsrS3R | 5444517870735015415413993718908291383295         | ========================== U N K N O W N ========================= | ____-__-__
133 |                                                                  | 17uDfp5r4n441xkgLFmhNoSW1KWp6xVLD  | 10889035741470030830827987437816582766591        | ========================== U N K N O W N ========================= | ____-__-__
134 |                                                                  | 13A3JrvXmvg5w9XGvyyR4JEJqiLz8ZySY3 | 21778071482940061661655974875633165533183        | ========================== U N K N O W N ========================= | ____-__-__
135 |                                                                  | 16RGFo6hjq9ym6Pj7N5H7L1NR1rVPJyw2v | 43556142965880123323311949751266331066367        | 02145d2611c823a396ef6712ce0f712f09b9b4f3135e3e0aa3230fb9b6d08d1e16 | ____-__-__
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137 |                                                                  | 15nf31J46iLuK1ZkTnqHo7WgN5cARFK3RA | 174224571863520493293247799005065324265471       | ========================== U N K N O W N ========================= | ____-__-__
138 |                                                                  | 1Ab4vzG6wEQBDNQM1B2bvUz4fqXXdFk2WT | 348449143727040986586495598010130648530943       | ========================== U N K N O W N ========================= | ____-__-__
139 |                                                                  | 1Fz63c775VV9fNyj25d9Xfw3YHE6sKCxbt | 696898287454081973172991196020261297061887       | ========================== U N K N O W N ========================= | ____-__-__
140 |                                                                  | 1QKBaU6WAeycb3DbKbLBkX7vJiaS8r42Xo | 1393796574908163946345982392040522594123775      | 031f6a332d3c5c4f2de2378c012f429cd109ba07d69690c6c701b6bb87860d6640 | ____-__-__
141 |                                                                  | 1CD91Vm97mLQvXhrnoMChhJx4TP9MaQkJo | 2787593149816327892691964784081045188247551      | ========================== U N K N O W N ========================= | ____-__-__
142 |                                                                  | 15MnK2jXPqTMURX4xC3h4mAZxyCcaWWEDD | 5575186299632655785383929568162090376495103      | ========================== U N K N O W N ========================= | ____-__-__
143 |                                                                  | 13N66gCzWWHEZBxhVxG18P8wyjEWF9Yoi1 | 11150372599265311570767859136324180752990207     | ========================== U N K N O W N ========================= | ____-__-__
144 |                                                                  | 1NevxKDYuDcCh1ZMMi6ftmWwGrZKC6j7Ux | 22300745198530623141535718272648361505980415     | ========================== U N K N O W N ========================= | ____-__-__
145 |                                                                  | 19GpszRNUej5yYqxXoLnbZWKew3KdVLkXg | 44601490397061246283071436545296723011960831     | 03afdda497369e219a2c1c369954a930e4d3740968e5e4352475bcffce3140dae5 | ____-__-__
146 |                                                                  | 1M7ipcdYHey2Y5RZM34MBbpugghmjaV89P | 89202980794122492566142873090593446023921663     | ========================== U N K N O W N ========================= | ____-__-__
147 |                                                                  | 18aNhurEAJsw6BAgtANpexk5ob1aGTwSeL | 178405961588244985132285746181186892047843327    | ========================== U N K N O W N ========================= | ____-__-__
148 |                                                                  | 1FwZXt6EpRT7Fkndzv6K4b4DFoT4trbMrV | 356811923176489970264571492362373784095686655    | ========================== U N K N O W N ========================= | ____-__-__
149 |                                                                  | 1CXvTzR6qv8wJ7eprzUKeWxyGcHwDYP1i2 | 713623846352979940529142984724747568191373311    | ========================== U N K N O W N ========================= | ____-__-__
150 |                                                                  | 1MUJSJYtGPVGkBCTqGspnxyHahpt5Te8jy | 1427247692705959881058285969449495136382746623   | 03137807790ea7dc6e97901c2bc87411f45ed74a5629315c4e4b03a0a102250c49 | ____-__-__
151 |                                                                  | 13Q84TNNvgcL3HJiqQPvyBb9m4hxjS3jkV | 2854495385411919762116571938898990272765493247   | ========================== U N K N O W N ========================= | ____-__-__
152 |                                                                  | 1LuUHyrQr8PKSvbcY1v1PiuGuqFjWpDumN | 5708990770823839524233143877797980545530986494   | ========================== U N K N O W N ========================= | ____-__-__
153 |                                                                  | 18192XpzzdDi2K11QVHR7td2HcPS6Qs5vg | 11417981541647679048466287755595961091061972988  | ========================== U N K N O W N ========================= | ____-__-__
154 |                                                                  | 1NgVmsCCJaKLzGyKLFJfVequnFW9ZvnMLN | 22835963083295358096932575511191922182123945976  | ========================== U N K N O W N ========================= | ____-__-__
155 |                                                                  | 1AoeP37TmHdFh8uN72fu9AqgtLrUwcv2wJ | 45671926166590716193865151022383844364247891952  | 035cd1854cae45391ca4ec428cc7e6c7d9984424b954209a8eea197b9e364c05f6 | ____-__-__
156 |                                                                  | 1FTpAbQa4h8trvhQXjXnmNhqdiGBd1oraE | 91343852333181432387730302044767688728495783904  | ========================== U N K N O W N ========================= | ____-__-__
157 |                                                                  | 14JHoRAdmJg3XR4RjMDh6Wed6ft6hzbQe9 | 182687704666362864775460604089535377456991567808 | ========================== U N K N O W N ========================= | ____-__-__
158 |                                                                  | 19z6waranEf8CcP8FqNgdwUe1QRxvUNKBG | 365375409332725729550921208179070754913983135616 | ========================== U N K N O W N ========================= | ____-__-__
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brand new
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November 12, 2024, 04:50:00 PM
It doesn't matter to what address type you try to spend your low entropy coins. RBF makes the transaction replaceable once someone else can compute the low entropy private key from knowing the exposed public key while your transaction is still in public mempools.

It also doesn't matter if you use a high fee rate as long as someone else could raise the fee rate in the replacing transaction, too. And you usually can't predict when the next block will be mined to confirm your transaction. It's not too rare that we see 30+ minutes between two blocks. So you can be quite unlucky if you try to be smart and submit your transaction after ~10min from the last block and the next block needs another 20, 30 or even more than 40min to be mined.

Your only chance is a service like slipstream.mara.com which keeps a transaction sent to it non-public and thus hidden from prying eyes of stealer-bots. We of course have to assume that slipstream.mara.com doesn't take advantage on its own behind the scenes, but that would ruin their reputation and could harm Mara pool to some extend.



Thank you. this is what I needed to confirm. And I was also searching for private miners too. If you have any more reputable services, please do share.
hero member
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Crypto Swap Exchange
November 12, 2024, 03:12:07 PM
It doesn't matter to what address type you try to spend your low entropy coins. RBF makes the transaction replaceable once someone else can compute the low entropy private key from knowing the exposed public key while your transaction is still in public mempools.

It also doesn't matter if you use a high fee rate as long as someone else could raise the fee rate in the replacing transaction, too. And you usually can't predict when the next block will be mined to confirm your transaction. It's not too rare that we see 30+ minutes between two blocks. So you can be quite unlucky if you try to be smart and submit your transaction after ~10min from the last block and the next block needs another 20, 30 or even more than 40min to be mined.

Your only chance is a service like slipstream.mara.com which keeps a transaction sent to it non-public and thus hidden from prying eyes of stealer-bots. We of course have to assume that slipstream.mara.com doesn't take advantage on its own behind the scenes, but that would ruin their reputation and could harm Mara pool to some extend.

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November 12, 2024, 07:16:47 AM
So I have a question, now let's say I got a low entropy private key (60 and 70 bits range) for one of the 32 puzzle transactions, once I issue a transaction, the public key will get known and bots are already there to solve the private key using this tool.

How can I prevent someone else trying to RBF? Should I only make sure the fee is high for the transaction to get verified right away? They can still make the fee higher and higher right?

Dont send or  use any legacy address if you solve the puzzle , because we know the code for -address to pub- is publicly available everywhere instead use, starts with bc1q, or with 3

For sure I would spend to a bc1 address but that isn't my question.

For a short period of time, while my spend transaction from the original P2PKH address get verified, the transaction will have to show the public key for that address. I know that using the ECDLP Solver, I can find the private key in a matter of minutes if not seconds when the entropy is low (say 70 bits).

Anyone who is monitoring these transaction can also find the private key once the transaction is announced, and they can replace my transaction by fee into their own address instead of mine. How can I handle this? I believe this is what happened to the 66 bits private key address. The one who found the private key never got to spend the funds themselves.
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November 11, 2024, 06:44:14 PM
So I have a question, now let's say I got a low entropy private key (60 and 70 bits range) for one of the 32 puzzle transactions, once I issue a transaction, the public key will get known and bots are already there to solve the private key using this tool.

How can I prevent someone else trying to RBF? Should I only make sure the fee is high for the transaction to get verified right away? They can still make the fee higher and higher right?

Dont send or  use any legacy address if you solve the puzzle , because we know the code for -address to pub- is publicly available everywhere instead use, starts with bc1q, or with 3
brand new
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November 11, 2024, 11:33:18 AM
So I have a question, now let's say I got a low entropy private key (60 and 70 bits range) for one of the 32 puzzle transactions, once I issue a transaction, the public key will get known and bots are already there to solve the private key using this tool.

How can I prevent someone else trying to RBF? Should I only make sure the fee is high for the transaction to get verified right away? They can still make the fee higher and higher right?
hero member
Activity: 714
Merit: 1010
Crypto Swap Exchange
November 08, 2024, 09:45:01 PM
Imagine how surprised some people will be, if they will waste a lot of time, to find a collision, ...
Don't want to sound arrogant but I guess they would've earned that "experience" for starting on false premisses. There's more than only public addresses...


Someone took out one of the addresses in 05/2024. all 50 btc.
Which block's coinbase was it? Name the details! And what exactly does it prove when some early coins move now in 2024?

maybe you can tell me where to read so that I don’t ask stupid questions and waste your and my time
Work thoroughly through relevant pages of beginners and technical sections of https://learnmeabitcoin.com and/or read through Mastering Bitcoin by Antonopoulos. There are certainly some more good sources.

To spend one of the early P2PK (paid to a public key) coinbase coins, you need the exact private key that gives you the exact public key. And a specific private key has only one unique public key.

The security of a P2PKH public address is different because you only need to find one of 296 private keys giving you a public key that hashes to a RIPEMD160 hash collision of the public address, IIRC.


For a start you could also stop violating rule #32 of Unofficial list of (official) Bitcointalk.org rules, guidelines, FAQ as there's no need for you to post consecutive posts to quote from different replies. In the Topic Summary below the post entry box the thread's recent posts all have an Insert Quote link with which you can insert multiple quotes in one reply of yours.

You can also always edit your reply if it's still the last reply in a thread when you want to add something and your intention is not to bump a thread after at least 24h time. No need to inflate your post count annoyingly and by breaking set rules.
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November 08, 2024, 09:21:22 AM
Quote
You're certainly the hero of 160bit-land who thankfully doesn't understand the very basics.
Imagine how surprised some people will be, if they will waste a lot of time, to find a collision, and find out, that for example instead of spending 50 BTC from some early block, they will only get 0.00006433 BTC from P2PKH.


Someone took out one of the addresses in 05/2024. all 50 btc.

You're certainly the hero of 160bit-land who thankfully doesn't understand the very basics.

maybe you can tell me where to read so that I don’t ask stupid questions and waste your and my time
copper member
Activity: 821
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November 08, 2024, 02:50:27 AM
Quote
You're certainly the hero of 160bit-land who thankfully doesn't understand the very basics.
Imagine how surprised some people will be, if they will waste a lot of time, to find a collision, and find out, that for example instead of spending 50 BTC from some early block, they will only get 0.00006433 BTC from P2PKH.
hero member
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Crypto Swap Exchange
November 07, 2024, 04:07:00 PM
all addresses to these public keys start with 1, which means that they are in the range of 160 bits. That's what I read on the forum. Smiley
Okay, if you believe so...

The early coinbase transactions were P2PK type with private key very likely in the full range of 256 bits and unique relationship of public key. Why do you come up with the stupid idea of public addresses when you speak of Satoshi's 50BTC blocks or others from the very early days that haven't moved until now?

Why do you think you would've have the "right" to steal the coins if it were possible (hint: it isn't). What a deranged moral compass...

But go ahead, waste your time and energy with possible 296 public keys to match just one P2PKH public address. You're certainly the hero of 160bit-land who thankfully doesn't understand the very basics.
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November 07, 2024, 10:01:26 AM
These are the next riddles from Satoshi. public keys are known, but the range is unknown. Each address contains 50 bitcoins. why does he ask them? and apparently the kangaroo method is precisely aimed at such a search.
Yeah, kangaroo is perfect to crack 256bit range, good luck!
all addresses to these public keys start with 1, which means that they are in the range of 160 bits. That's what I read on the forum. Smiley

Excellent!  Grin
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Merit: -
November 07, 2024, 06:51:24 AM
These are the next riddles from Satoshi. public keys are known, but the range is unknown. Each address contains 50 bitcoins. why does he ask them? and apparently the kangaroo method is precisely aimed at such a search.

Yeah, kangaroo is perfect to crack 256bit range, good luck!

all addresses to these public keys start with 1, which means that they are in the range of 160 bits. That's what I read on the forum. Smiley
?
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Merit: -
November 07, 2024, 06:35:08 AM
These are the next riddles from Satoshi. public keys are known, but the range is unknown. Each address contains 50 bitcoins. why does he ask them? and apparently the kangaroo method is precisely aimed at such a search.

Yeah, kangaroo is perfect to crack 256bit range, good luck!
?
Activity: -
Merit: -
November 07, 2024, 06:01:13 AM
Hi all. I'm using the kangaroo version from https://github.com/iceland2k14/Kangrand I also have a list of 34.5 thousand public keys with account balance. Could you tell me the optimal settings for a PC with only a CPU and for a PC with a GPU? Just one address will be enough for me and I will post the rest on this forum. Wink

Some people still think that they can just run some software on their computer and gain access to someone’s balance.
For some reason, they also think they’re the first ones to come up with this idea.

These are the next riddles from Satoshi. public keys are known, but the range is unknown. Each address contains 50 bitcoins. why does he ask them? and apparently the kangaroo method is precisely aimed at such a search. someone else guesses the puzzles.
?
Activity: -
Merit: -
November 07, 2024, 05:14:22 AM
Hi all. I'm using the kangaroo version from https://github.com/iceland2k14/Kangrand I also have a list of 34.5 thousand public keys with account balance. Could you tell me the optimal settings for a PC with only a CPU and for a PC with a GPU? Just one address will be enough for me and I will post the rest on this forum. Wink

Some people still think that they can just run some software on their computer and gain access to someone’s balance.
For some reason, they also think they’re the first ones to come up with this idea.
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