Ethereum: How can my private key be revealed if I use the same nonce while generating the signature?

I can give you an article on this topic.

Signature understanding Ethereum and Nonces

The Ethereum signature system is the main aspect of its decentralized application ecosystem (DAPP). Signature is a unique fingerprint digital fingerprint, which proves that the sender of the operations controls the appropriate UTX (inevitable surgery output). However, one of the usual misconceptions is the re -application of Noncia in the creation of signatures.

Nonce is used as a meter of cryptographic algorithms to ensure uniqueness and prevent attacks. By creating an Ethereum signature, the same nonCE can be properly processed by private keys.

Nonce role in creating signature

By creating a signature in the Ethereum operation, the following actions occur:

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Allacion Nesce

Ethereum: How can my private key be revealed if I use the same nonce while generating the signature?

: Unique Nonce is a designated surgery that is the meter of the essay generating process.

RE – -use Norcai: Recipe for Revelation

If the user re -uses the same nonCE to create signatures, someone else will be able to check or manipulate the generated signatures more and more. Here’s the reason:

* Dettarial Writers : If several operations are signed with the same non -nonia, the signatures obtained can be used to obtain information about the sender’s private key.

* Repetition attack : malicious actor can manipulate operations data and sign it again using the original nonCE, effectively change surgery and potentially obtain UTX control.

Mathematical explanation

To illustrate this concept, consider a simple example:

Suppose we have two operations: TX1 ATX2. Both transactions have Noncen_1 = 0x12345678and use the same private key.

By generating signatures of both operations, using the sender's public key (not displayed here), we would get:

  • Fortx1: s1 = signature1 «

  • For tx2:s2 = signature2 "

If we use Nonce N_1 for both operations, we can find that the second operation has the same personal key as the first. This is because the signatures are determined and have the same random number.

Conclusion

When using Necessus to create signatures for Ethereum transactions, the risk of detecting your private key is increased if they are not properly treated. To prevent these problems, it is necessary to prevent the unique Noni for each transaction. If you are working with offset data, consider using a safe mechanism to create and store unique Necess.

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