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Ethereum: Where does the random number come from when signing a transaction?

Ethereum: Where does the random number come from when signing a transaction?

When it comes to signing transactions on the Ethereum network, a question often arises as to how the random number generator (RNG) used to generate these cryptographically secure signatures actually works. This may seem like an obscure detail, but it is crucial for anyone interested in learning more about Ethereum to understand where and why this RNG plays its role.

What is a cryptographic signature?

Before we dive into the details of the random number generator, let’s quickly talk about what a cryptographic signature is. A digital signature is essentially a unique code that proves to other parties that the sender has approved a particular message or transaction. It’s like a digital fingerprint that provides additional security and authenticity.

How ​​Ethereum signs transactions

On the Ethereum network, transactions are signed using a specific algorithm called ECDSA (Elliptic Curve Digital Signature Algorithm). This algorithm is designed to be very secure, but it relies on a random number generator to generate these signatures. The RNG used by ECDSA generates a unique sequence of numbers, which is then combined with a hash of the transaction data to create a digital signature.

Role of the Random Number Generator

In the context of Ethereum, a random number generator is used to generate a sequence of 32-bit values ​​called “bls12-381” (Blake’s 12-381). These bls12-381 values ​​are then combined with the hash of the transaction data using the SHA-256 algorithm. The resulting signature is verified by other nodes on the network, and if it passes the tests, it is accepted as a valid signature.

How ​​does an RNG work?

The RNG used by Ethereum is based on the “linear congruence generator” (LCG) algorithm. This algorithm creates a sequence of numbers that follow a predictable pattern, but still has enough randomness to ensure security. The LCG algorithm is designed to generate high-quality random numbers with a low probability of collisions, which ensures that the values ​​generated are cryptographically secure.

Why is this important for security?

The use of an RNG in Ethereum’s signature generation process is not just about generating random numbers; it is also about ensuring the security and integrity of the network. The randomness provided by the RNG helps prevent an attacker from predicting the digital signature, making it much more difficult for them to forge transactions or signatures.

Conclusion

The random number generator plays a critical role in signing Ethereum transactions. By using a unique sequence of numbers generated using the LCG algorithm, Ethereum ensures that its digital signatures are cryptographically secure and virtually unforgeable. The next time you see a signed Ethereum transaction, remember that there is a bit of RNG magic behind it – and it is something to be appreciated for the security and integrity it provides.

This article summarizes the importance of random numbers in Ethereum signing transactions and their role in ensuring security and integrity on the network.

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