Keys and Addresses: Public Keys | Saylor Academy (2024)

Keys and Addresses

Now that we've covered the basics of public and private keys, let's dive in a bit deeper and take a look at how Bitcoin generates these keys.

Introduction

Public Keys

The public key is calculated from the private key using elliptic curve multiplication, which is irreversible: Keys and Addresses: Public Keys | Saylor Academy (3), where Keys and Addresses: Public Keys | Saylor Academy (4)is the private key, Keys and Addresses: Public Keys | Saylor Academy (5)is a constant point called thegenerator point, and Keys and Addresses: Public Keys | Saylor Academy (6)is the resulting public key. The reverse operation, known as "finding the discrete logarithm" - calculating Keys and Addresses: Public Keys | Saylor Academy (7)if you know Keys and Addresses: Public Keys | Saylor Academy (8) - is as difficult as trying all possible values of Keys and Addresses: Public Keys | Saylor Academy (9), i.e., a brute-force search. Before we demonstrate how to generate a public key from a private key, let's look at elliptic curve cryptography in a bit more detail.

Tip:Elliptic curve multiplication is a type of function that cryptographers call a "one-way" function: it is easy to do in one direction (multiplication) and impossible to do in the reverse direction ("division", or finding the discrete logarithm). The owner of the private key can easily create the public key and then share it with the world knowing that no one can reverse the function and calculate the private key from the public key. This mathematical trick becomes the basis for unforgeable and secure digital signatures that prove ownership of bitcoin funds.

Keys and Addresses: Public Keys | Saylor Academy (2024)

FAQs

What is the public key address? ›

Public Address definition: Also referred to as a wallet address, a public address is a unique code for a crypto wallet that can be shared to receive crypto. A public address, also known as a public key or wallet address, is a cryptographic string of characters derived from a user's public key.

How to find BTC private keys? ›

Where can I find my private Bitcoin key?
  1. Software wallets (desktop, mobile, or online): When you use a software wallet, your private key is stored within the application. ...
  2. Hardware wallets: Hardware wallets, such as Ledger or Trezor, store your private keys offline on a physical device.
May 18, 2024

What is the private key to my wallet address? ›

Your private key is generated by your wallet and is used to create your public key (your wallet address) using encryption. You can view your private key using your wallet.

Where are the public keys? ›

The public key is used by both the user and the remote server to encrypt messages. On the remote server side, it is saved in a public key file. On the user's side, it is stored in SSH key management software or in a file on their computer.

What is a public key example? ›

Suppose Alice wishes to receive encrypted messages; she publishes one of the keys, the public key, and anyone, say Bob, can use it to encrypt a message and send it to her. When Alice gets the encrypted message, she uses the private key to decrypt it and read the original message.

Can I get a public key from an address? ›

Creating Public Key from Ethereum Address is IMPOSSIBLE. As you know, from Public key you can achieve Address via 40% of an array which was hashed by keccak procedure, and this is a one-way path.

What is an example of a public key in Bitcoin? ›

The public key that can receive funds is typically known as an address — a shortened version of your public key. For example, here is the first Bitcoin address ever: 1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa. You can freely share your public key without concern.

Can you guess a private key Bitcoin? ›

The probability of guessing a valid Bitcoin private key is 1 in 2²⁵⁶. Said like that, it might seem like a relatively simple task. But you might be very surprised to learn how futile such an attempt would be.

How to find Bitcoin public key? ›

Step-by-step instructions to find your Extended Public Key

Select your BTC / BCH / ETH or other cryptocurrency wallet. Tap on the small settings icon (three dots) in the top right. Select "Wallet Information." Tap on the "Extended Public Key" to copy it.

What does a private key look like in Bitcoin? ›

A Bitcoin private key is a 256-bit number, which means it's a string of 256 binary digits (0s and 1s). Creating a private key by flipping a coin 256 times isn't secure, so it's best to use specialized tools for generating high-entropy private keys.

How to get a private key? ›

Locating a private key in Windows
  1. Open Microsoft Management Console.
  2. In the Console Root, expand Certificates (Local Computer)
  3. Locate the certificate in the Personal or Web Server folder.
  4. Right click the certificate.
  5. Select Export.
  6. Follow the guided wizard.
Aug 19, 2022

What is an example of a private key? ›

Private key encryption is often used to encrypt data stored or transmitted between two parties. For example, when you log in to a website using a username and password, the password is often encrypted using a private key before it is transmitted to the web server.

Can anyone access a public key? ›

Public keys have been described by some as being like a business' physical address – it's public and anyone can look it up and share it widely. In asymmetric encryption, public keys can be shared with everyone in the system. Once the sender has the public key, he uses it to encrypt his message.

What is the difference between a private key and a public key? ›

To conclude, private keys can be used for both encryption and decryption, while Public keys are used only for the purpose of encrypting the sensitive data. Private keys are shared between the sender and the receiver, whereas public keys can be freely circulated among multiple users.

Where are private keys stored? ›

Private keys and personal certificates are stored in keystores. Public keys and CA certificates are stored in truststores. A truststore is a keystore that by convention contains only trusted keys and certificates.

How do I check my public key? ›

How to view your SSH public key on Linux
  1. Using the ssh-agent command.
  2. Run the following command. ssh-agent sh -c 'ssh-add; ssh-add -L'
  3. After successful authentication, your SSH public key will be displayed in the terminal.
  4. Copy and paste it where you need it.
Sep 12, 2023

How to find public key of Bitcoin address? ›

Step-by-step instructions to find your Extended Public Key

Select your BTC / BCH / ETH or other cryptocurrency wallet. Tap on the small settings icon (three dots) in the top right. Select "Wallet Information." Tap on the "Extended Public Key" to copy it.

How to get a public wallet address? ›

Step 1: Choose a reputable cryptocurrency wallet application or hardware wallet. Step 2: Follow the setup instructions, which typically involve creating a new wallet. Step 3: Once your wallet is set up, it will automatically generate a wallet address for you.

What is the public device address? ›

Public Device Address

This is the standard, IEEE-assigned 48-bit universal LAN MAC address which must be obtained from the IEEE Registration Authority. It is divided into two fields: IEEE-assigned company ID held in the 24 most-significant bits. Company-assigned device ID held in the 24 least significant bits.

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