Bitcoin's security relies on a one-way cryptographic relationship:
A private key is randomly generated.
From the private key, a public key is mathematically derived using a one-way function (Elliptic Curve Digital Signature Algorithm - ECDSA). This process is easy to do.
From the public key, a Bitcoin address is derived.
Crucially, it is computationally htx database impossible to reverse this process. You cannot derive the private key from the public key or the Bitcoin address.
Decentralized Key Generation:
Private keys are generated by individual users' wallets (software or hardware) locally. They are not generated or stored by the Bitcoin network, any central authority, or the Bitcoin blockchain itself.
When you create a Bitcoin wallet, it simply picks a random number within that massive 2
256
range to be your private key. The probability of two wallets randomly generating the exact same private key is infinitesimally small.
The impossibility of predicting or discovering private keys is the very foundation of Bitcoin's security. If such a database existed, or if private keys could be easily guessed, the entire Bitcoin network would be compromised, and anyone's funds could be stolen.
Bitcoin's Security Model:
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