How Are Public Keys Generated Bitcoin

There is more to a bitcoin wallet than just the address itself. It also contains the public and private key for each of your bitcoin addresses. Your bitcoin private key is a randomly generated string (numbers and letters), allowing bitcoins to be spent. A private key is always mathematically related to the bitcoin wallet address, but is impossible to reverse engineer thanks to a strong encryption code base.

A Bitcoin private key is a secret number which every Bitcoin wallet has. This 256-bit number can be represented in several formats: in hexadecimal – 256 bits, in hexadecimal is 32 bytes, or 64 characters in the range 0-9 or A-F, Base64 string, a WIF key, or a mnemonic phrase. A bitcoin address is one of the key concepts that make the currency and the blockchain work. A bitcoin address is nearly identical to an email address. It might be easier to learn about two other terms to fully understand the address: the private key and the public key.

If you don’t back up your private key and you lose it, you can no longer access your bitcoin wallet to spend funds.

As mentioned, there is also a public key. This causes some confusion, as some people assume that a bitcoin wallet address and the public key are the same. That is not the case, but they are mathematically related. A bitcoin wallet address is a hashed version of your public key.

Every public key is 256 bits long — sorry, this is mathematical stuff — and the final hash (your wallet address) is 160 bits long. The public key is used to ensure you are the owner of an address that can receive funds. The public key is also mathematically derived from your private key, but using reverse mathematics to derive the private key would take the world’s most powerful supercomputer many trillion years to crack.

Besides these key pairs and a bitcoin wallet address, your bitcoin wallet also stores a separate log of all of your incoming and outgoing transactions. Every transaction linked to your address will be stored by the bitcoin wallet to give users an overview of their spending and receiving habits.

Last but not least, a bitcoin wallet also stores your user preferences. However, these preferences depend on which wallet type you’re using and on which platform. The Bitcoin Core client, for example, has very few preferences to tinker around with, making it less confusing for novice users to get the hang of it.

Your bitcoin wallet generates a “master” file where all of the preceding details are saved. For computer users, that file is called wallet.dat. It’s saved on a Windows machine, for example, in the C:UserYournameDocumentsAppDataRoamingBitcoinfolder. Make sure to create one or multiple backups of this wallet.dat file on other storage devices, such as a USB stick or memory card. The bitcoin wallet software will let you import a wallet.dat file in case your previous file is damaged or lost, restoring your previous settings, including any funds associated with your bitcoin wallet address.

Check out more information on importing private keys and wallet.dat files.

This page contains sample addresses and/or private keys. Do not send bitcoins to or import any sample keys; you will lose your money.

How Are Public Keys Generated Bitcoin

A private key in the context of Bitcoin is a secret number that allows bitcoins to be spent.Every Bitcoin wallet contains one or more private keys, which are saved in the wallet file.The private keys are mathematically related to all Bitcoin addresses generated for the wallet.

Because the private key is the 'ticket' that allows someone to spend bitcoins, it is important that these are kept secret and safe.Private keys can be kept on computer files, but are also often written on paper.

Private keys themselves are almost never handled by the user, instead the user will typically be given a seed phrase that encodes the same information as private keys.

Some wallets allow private keys to be imported without generating any transactions while other wallets or services require that the private key be swept.When a private key is swept, a transaction is broadcast that sends the balance controlled by the private key to a new address in the wallet.Just as with any other transaction, there is risk of swept transactions to be double-spending.

In contrast, bitcoind provides a facility to import a private key without creating a sweep transaction.This is considered very dangerous, and not intended to be used even by power users or experts except in very specific cases. Importing keys could lead to the Bitcoins being stolen at any time, from a wallet which has imported an untrusted or otherwise insecure private key - this can include private keys generated offline and never seen by someone else[1][2].

An example private key

In Bitcoin, a private key is a 256-bit number, which can be represented one of several ways.Here is a private key in hexadecimal - 256 bits in hexadecimal is 32 bytes, or 64 characters in the range 0-9 or A-F.

Range of valid ECDSA private keys

Nearly every 256-bit number is a valid ECDSA private key. Specifically, any 256-bit number from 0x1 to 0xFFFF FFFF FFFF FFFF FFFF FFFF FFFF FFFE BAAE DCE6 AF48 A03B BFD2 5E8C D036 4140 is a valid private key.

The range of valid private keys is governed by the secp256k1 ECDSA standard used by Bitcoin.

Hierarchical Deterministic (HD) Wallet Keys

Main article: Hierarchical deterministic wallet

Wallet software may use a BIP 32 seed to generate many private keys and corresponding public keys from a single secret value. This is called a hierarchical deterministic wallet, or HD wallet for short. The seed value, or master extended key, consists of a 256-bit private key and a 256-bit chain code, for 512 bits in total. The seed value should not be confused with the private keys used directly to sign Bitcoin transactions.

Users are strongly advised to use HD wallets, for safety reasons: An HD wallet only needs to be backed up once typically using a seed phrase; thereafter in the future, that single backup can always deterministically regenerate the same private keys. Therefore, it can safely recover all addresses, and all funds sent to those addresses. Non-HD wallets generate a new randomly-selected private key for each new address; therefore, if the wallet file is lost or damaged, the user will irretrievably lose all funds received to addresses generated after the most recent backup.

Base58 Wallet Import format

Main article: Wallet import format

How Are Public Keys Generated Bitcoin Money

When importing or sweeping ECDSA private keys, a shorter format known as wallet import format is often used, which offers a few advantages.The wallet import format is shorter, and includes built-in error checking codes so that typos can be automatically detected and/or corrected (which is impossible in hex format) and type bits indicating how it is intended to be used.Wallet import format is the most common way to represent private keys in Bitcoin.For private keys associated with uncompressed public keys, they are 51 characters and always start with the number 5 on mainnet (9 on testnet). Private keys associated with compressed public keys are 52 characters and start with a capital L or K on mainnet (c on testnet). This is the same private key in (mainnet) wallet import format:

When a WIF private key is imported, it always corresponds to exactly one Bitcoin address.Any utility which performs the conversion can display the matching Bitcoin address.The mathematical conversion is somewhat complex and best left to a computer, but it's notable that the WIF guarantees it will always correspond to the same address no matter which program is used to convert it.

The Bitcoin address implemented using the sample above is: 1CC3X2gu58d6wXUW_SAMPLE_ADDRESS_DO_NOT_SEND_MffpuzN9JAfTUWu4Kj

Mini private key format

Main article: Mini private key format

Some applications use the mini private key format. Not every private key or Bitcoin address has a corresponding mini private key - they have to be generated a certain way in order to ensure a mini private key exists for an address. The mini private key is used for applications where space is critical, such as in QR codes and in physical bitcoins. The above example has a mini key, which is:

Summary

Any Bitcoins sent to the address 1CC3X2gu58d6wXUW_SAMPLE_ADDRESS_DO_NOT_SEND_MffpuzN9JAfTUWu4Kj can be spent by anybody who knows the private key implementing it in any of the three formats, regardless of when the bitcoins were sent, unless the wallet receiving them has since made use of the coins generated.The private key is only needed to spend the bitcoins, not necessarily to see the value of them.

If a private key controlling unspent bitcoins is compromised or stolen, the value can only be protected if it is immediately spent to a different output which is secure.Because bitcoins can only be spent once, when they are spent using a private key, the private key becomes worthless.It is often possible, but inadvisable and insecure, to use the address implemented by the private key again, in which case the same private key would be reused.

See Also

How Are Public Keys Generated Bitcoin Safe

References

  1. Bitcoin StackExchange - Why doc says importing private keys is so dangerous?
  2. Bitcoin StackExchange - Why so many warnings about importing private keys?

Bitcoin Public Key Size

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