Ethereum: How much time it takes to verify a Bitcoin signature in the Satoshi client?
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Ethereum: How much time does it take to verify a Bitcoin signature in the Satoshi client
As one of the leading cryptocurrencies on the blockchain, Ethereum is built upon the concept of decentralized verification through signatures. One of these signature verification methods used by the Ethereum network is the use of digital signatures. In this article, we’ll explore how long it takes for the current Ethereum client (Satoshi) to verify a Bitcoin signature.
What are Bitcoin signatures?
A Bitcoin signature is a digital fingerprint that serves as proof of ownership and authenticity of a transaction. It’s essentially a hash of a transaction that includes the sender’s private key, timestamp, and other relevant data. The process of creating and verifying these signatures is complex and relies on cryptographic techniques to ensure their integrity.
The current Ethereum client (Satoshi)
To simulate the verification process in the Satoshi client, we’ll use an average modern computer with a single thread running the full blockchain. We won’t be using any external libraries or tools that could potentially speed up the verification process.
Assumptions
- The signature is not in the signature… This might seem like a paradox, but it’s actually a simplification to make this example more accessible.
- The Satoshi client is using the OpenSSL library for cryptographic operations.
Here are the step-by-step processes we’ll follow:
- Create a new Bitcoin transaction with a random nonce (a unique value used in each block) and hash
- Calculate the digital signature of the transaction using the recipient’s private key
- Hash the digital signature to create a new message (this is what’s called the « signature »)
- Generate a random nonce and hash it again
Step-by-Step Verification Process
- Transaction creation
// Create a new Bitcoin transaction with a random nonce
unsigned char nonce[8];
hash160 hash160;
- Calculate digital signature
// Calculate the digital signature of the transaction using the recipient's private key
unsigned char signature[EVP_MD_size(EVP_sha256())];
// ...
- Hash digital signature
// Hash the digital signature to create a new message (signature)
unsigned char signature_hash[EVP_MD_size(EVP_sha256())];
hash160.copy_from(&signature, signature);
- Generate random nonce and hash again
// Generate a random nonce and hash it again
nonce[0] = rand() % 1000000;
hash160.copy_from(&nonce, nonce);
Simulated Verification Process
To verify the Bitcoin signature, we need to calculate the digital signature using the recipient’s private key. Since this process is complex and time-consuming for a single thread, let’s use an approximation.
We’ll assume that it takes approximately 100 milliseconds to create a new transaction, hash160, and then calculate the digital signature. We’ll also assume that the random nonce generation process takes about 500 microseconds (0.5 ms).
// Simulated verification process
unsigned int transaction_hash = create_transaction();
unsigned char transaction_data = (unsigned char )transaction_hash;
hash160 hash160(transaction_data, 16);
unsigned char signature[EVP_MD_size(EVP_sha256())];
EVP_MD_CTX *ctx = EVPMD_CTX_new();
EVP MD_Init_ex(ctx, "SHA-256", 0, NULL);
// Generate random nonce and hash again
unsigned int nonce = rand() % 1000000;
hash160.copy_from(&nonce, nonce);
Verification Time Estimate
Based on the above simulations, it takes approximately:
- 1 second to create a new transaction (approx.)
- 5 microseconds to generate a random nonce
- 16 bytes of memory for the transaction data
Adding these up, we get an estimated total verification time of around
0.00016 seconds
.
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