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Finding Duplicate Root Private Keys in Bitcoin
In the vast and complex world of blockchain cryptography, the detection of duplicate private keys is decisive for ensuring the integrity and safety of the decentralized network. Extended public keys are an essential part of the cryptographic infrastructure of bitcoins, allowing users to create more unique digital identity. However, the same root private key can be used to derive multiple enlarged public keys, which threatens the safety of the system.
In this article, we will examine how to find out if the two extended public keys have the same root key with a simple example and give a view of potential risks.
The process of deriving
To derive the extended public key, you must combine three different information:
- Postal key
: a long string that serves as a parental key for your derivation.
- Chaincode : A unique identifier that ensures that each user’s account is connected to a particular wallet.
- Version and salt : Optional parameters that add additional security features.
The following Python’s script illustrates how to derive the extended public key using the Bitcoin Cryptography Library:
`Python
from cryptography.
From Cryptograph.hazmat.Primitives.
Import
Def generte_key (paarent_key, chaincode, version = none, SALT = NONE):
If version and not isinstance (version, int) or version <0:
increase Valueerror (“Invalid version”)
Create a new pair of EC keys using parameters of the parent key and public key.
EC = HASHES.ECDSA (HASHES.SHA256 (), Serialization.Ders)
e_Key = ec.genatery_Key ()
Combine parental key, chain code and optional version and salt, and create an extended key.
key = (
bajte.Fromhex (paarent_key [: 40]),
bajte.Fromhex (paarent_Key [40:],
Encoding = Errors.utf8),
salt, if not salt, none,
e_Key.public_bytes (
coding = serialization.encoding.pem,
format = serialization.publicformat.Subjectpublickeyinfo
)
)
keys
Generate three extended public keys.
Parent_Key1 = “035f743EEE7D73D27E8C80F6B2458E6D4E2A45F3D7DD35C4D35C4D84F3D939f409F40C”
chainode1 = “1234567890abcDef”
Key1 = Generate_Key (Parent_Key1, Stravcode1)
Parent_Key2 = “035f743EEE7D73D27E8C80F6B2458E6D45F3D7DD35C4E4D84F3D84F3D939f409F40C”
Chaincode2 = “1234567890abcDef”
Key2 = generte_key (Parent_Key2, Stravcode2)
Parent_Key3 = “035f743ee7D73D27E8C80F6B2458E6D4E2A45F3D7DD35C4D35C4D84F3D939f409F40C”
chainode3 = “1234567890abcDef”
Key3 = generte_key (Parent_Key3, Strécode3)
Compare the extended keys.
If key1 == key2 and keys1! = keys3:
Print (“Two extended public keys have the same root private key.”)
otherwise:
Print (“No Duplicates Root Private Keys”)
`
Finding Duplicate Root Private Keys
To see if the two extended public keys have the same root private key, you can compare them using the operator ==. If both keys are the same, it indicates that they share a common private key.
In this example, we generate three different extended public keys using the same parent key and chain code. Then we compare these keys to find out any duplicates of the private key duplicate:
`Python
If key1 == key2 and keys1! = keys3:
Print (“Two extended public keys have the same root private key.”)
otherwise:
Print (“No Duplicates Root Private Keys”)
`
Conclusion
Detection of Root Private Keys is essential to maintain the safety of the Bitcoin Blockchain network. By comparing the extended public keys generated from different parent keys and chain codes, you can identify any potential duplicates and take corrective measures to prevent endangered account.