Bitcoin: Schnorr batch verify random number generation method

Method of generating random numbers in checking the batch SCHNORR

SCHNORR signatures are a type of digital signature used in bitcoin and other blockchain networks to ensure the authenticity and integrity of the transactions. One of the key features of SCHNORR signatures is their ability to generate random numbers that are used to verify the batch.

In BIP 340, a proposal to improve Bitcoins (BIP), which introduced SCHNORR signatures, stated that a specific method must be followed when generating any random batch verification number. The aim of this method is to ensure that random numbers generated by all nodes in the network be cryptographically safe and consistent.

Method

According to BIP 340, the seed used to generate each random number is calculated using the SHA-256 hashing algorithm. This is how it works:

• The entry parameter with a fixed size n is entered.

• The Sha-256 function is used for the input parameterto create an output value with a fixed size calledseed.

• The “seed” value is then used as an initial seed for a random number generator.

Seed’s purpose

The purpose of the seed is to ensure that all nodes in the network have access to the same set of cryptographically secured random numbers. This is important because the verification of the batches uses the deterministic process in which each node generates its own random numbers based on the seed and the secret key. If the seeds were not formed from the same initial value, this could lead to irregularities and potential safety vulnerabilities.

Example of using a case

To illustrate this concept, consider the example of how the batch verification can work using SCHNORR signatures. Suppose we have a transaction that requires a batch verification by multiple nodes in the network. Each node must generate its own random numbers based on the same seed value. Input parameter n would be set to a fixed value, for example 100.

Using the BIP 340 specification, the following code scrap could prove how the seed is generated and used to verify the dose:

`C

unsigned int n = 100; // fixed input parameter

// Calculate the seed using the SHA-256 hashing

unsigned char Semen [sha256_digest_lengh];

Sha256 ((Const unsigned char*) N, N, Seed);

// initialize the variable to store random numbers

UInt32_t Rand1;

UInt32_t Rand2;

// generate dose verification data (eg signature)

unsigned signature char [32];

// ...

// Use generated dose verification data to verify the dose

// ...

In this example, the “seed” value is calculated using the n input parameter. The variables “Rand1A Rand2` are used to store random numbers generated by each node in the network.

By monitoring the BIP 340 specification to generate the seeds and their use to verify the batch, the nodes can ensure that all random numbers are cryptographically safe and consistent throughout the network.