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COBRAS (OP)
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June 29, 2024, 05:43:40 PM
 #1

Good day.

Someone know how to find privkey more easy at curve with k not k = 7, but with any other k , for ex k = 1, k= 2, k =.... n ?


Thank you

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Today at 02:09:08 AM
 #2

Someone know how to find privkey more easy at curve with k not k = 7, but with any other k , for ex k = 1, k= 2, k =.... n ?
Finding a private key of a given address is like finding an atom in the universe by which I mean it's impossible.

If it is possible, Bitcoin blockchain is useless and very risky to use, hence I believe nobody will have belief in Bitcoin and use it to store money.

Combinations of Bitcoin private keys is 1077 and the universe has 1080 atoms. You can not find an atom in the universe so neither find a Bitcoin private key to hijack a wallet of someone else.

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COBRAS (OP)
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Today at 05:06:04 AM
 #3

Someone know how to find privkey more easy at curve with k not k = 7, but with any other k , for ex k = 1, k= 2, k =.... n ?
Finding a private key of a given address is like finding an atom in the universe by which I mean it's impossible.

If it is possible, Bitcoin blockchain is useless and very risky to use, hence I believe nobody will have belief in Bitcoin and use it to store money.

Combinations of Bitcoin private keys is 1077 and the universe has 1080 atoms. You can not find an atom in the universe so neither find a Bitcoin private key to hijack a wallet of someone else.


Idea from this code of Krashfire, but hi not on connection now...

https://github.com/KrashKrash/Twist-Attack-Sub-Group-Attack

Looks like hi find something for change points order

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COBRAS (OP)
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Today at 04:35:04 PM
 #4

Someone know how to find privkey more easy at curve with k not k = 7, but with any other k , for ex k = 1, k= 2, k =.... n ?
Finding a private key of a given address is like finding an atom in the universe by which I mean it's impossible.

If it is possible, Bitcoin blockchain is useless and very risky to use, hence I believe nobody will have belief in Bitcoin and use it to store money.

Combinations of Bitcoin private keys is 1077 and the universe has 1080 atoms. You can not find an atom in the universe so neither find a Bitcoin private key to hijack a wallet of someone else.


Krashfire finds something what looks like a privatekeys in subgroups, but code need to be  midified and verified.


Output reult of his sceypt:

(privkey,order), (privkey,order)....


Partial private keys for {name}
[(0, 3), (6, 13), (1502, 3319), (8892, 22639)]
-------------------------------------------------


so for reconstruct final privkey need additional work, but, I think he is MAKE INTERESTING SCRYPT,I try to do the same with subgroups, but I take any privkeys..... Many thanks Krashfire for his scrypt


So, have someone any ideas how to modify Krashfire scrypt for take result ?

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COBRAS (OP)
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Today at 04:58:59 PM
 #5

scrypt output:


Final private key found using CRT:
26824948988
xman@localhost:~$


Code:
Provided Public Key: (115780575977492633039504758427830329241728645270042306223540962614150928364886, 78735063515800386211891312544505775871260717697865196436804966483607426560663)
The provided public key is valid on the secp256k1 curve.




-------------------------------------------------
Twist Curve 1:
Order: 57896044618658097711785492504343953926299326406578432197819248705606044722122
Sub Groups: 2 * 3 * 20412485227 * 83380711482738671590122559 * 5669387787833452836421905244327672652059
Small subgroups: [2, 3, 20412485227]
-------------------------------------------------

Using point Q = (115780575977492633039504758427830329241728645270042306223540962614150928364886, 82819662124937935997075446159954026797130066030109643165115590880297915075689) on Twist Curve 1
Subgroup order: 2, h: 57896044618658097711785492504343953926299326406578432197819248705606044722122
hQ: (0 : 1 : 0), hg: (0 : 1 : 0)
Partial private key 0 for subgroup order 2 verified.
Subgroup order: 3, h: 38597363079105398474523661669562635950866217604385621465212832470404029814748
hQ: (0 : 1 : 1), hg: (0 : 115792089237316195423570985008687907853269984665640564039457584007908834671662 : 1)
Partial private key 2 for subgroup order 3 verified.
Subgroup order: 20412485227, h: 5672611049053238118165717313941446991284509739582081922436484387772
hQ: (102218623567426629329170973803598621676466125927972955899785028094234925400756 : 10275639806470513332621139348343609399199069146984122993948453123597067431471 : 1), hg: (57403726249745638709437015689634972945292420467185304877641206038021905035097 : 51356004507451930866420493249993099104434141640844744013335860694616740266963 : 1)
Partial private key 6412463761 for subgroup order 20412485227 verified.
Partial private keys for Twist Curve 1
[(0, 2), (2, 3), (6412463761, 20412485227)]
-------------------------------------------------

-------------------------------------------------
Twist Curve -7:
Order: 38597363079105398474523661669562635951234135017402074565436668291433169282997
Sub Groups: 3 * 13^2 * 3319 * 22639 * 1013176677300131846900870239606035638738100997248092069256697437031
Small subgroups: [3, 13, 3319, 22639]
-------------------------------------------------

Could not find a valid y-coordinate on Twist Curve -7
-------------------------------------------------
Twist Curve 2:
Order: 38597363079105398474523661669562635951234135017402074565436668291433169282997
Sub Groups: 3 * 13^2 * 3319 * 22639 * 1013176677300131846900870239606035638738100997248092069256697437031
Small subgroups: [3, 13, 3319, 22639]
-------------------------------------------------

Could not find a valid y-coordinate on Twist Curve 2
All orders are pairwise coprime.

Final private key found using CRT:
26824948988
xman@localhost:~$



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