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A private key is a cryptographic variable that is used in conjunction with an algorithm to encrypt and decrypt data. Private keys should be shared only with the keys generator or parties authorized to decrypt the data. They are crucial in symmetric cryptography, asymmetric cryptography and cryptocurrencies.
The public key is only used by the client while the private key is available to all. Both keys are mathematically related.
Only the holder of the private key can encrypt information that can be decrypted with the public key. Any party can use the public key to read the encrypted information; however, data that can be decrypted with the public key is guaranteed to originate with the holder of the private key.
Asymmetric encryption, also known as public-key cryptography, is a type of encryption that uses a pair of keys to encrypt and decrypt data. The pair of keys includes a public key, which can be shared with anyone, and a private key, which is kept secret by the owner.
The power of public key encryption is in that mathematical operation. Its a one-way function, which means its incredibly difficult for a computer to reverse the operation and discover the original data. Even the public key cannot be used to decrypt the data. Public key encryption (article) - Khan Academy khanacademy.org computers-and-internet khanacademy.org computers-and-internet
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In public-private key cryptography, the public key and private key work together to ensure the security of the exchanged data. A message gets encrypted by a public key, which is available to everyone, and can only be decrypted with its unique private key,which is only available to its owner. Public Key and Private Key: How they Pair Work Together - PreVeil preveil.com blog public-and-private-key preveil.com blog public-and-private-key
The public key is available to anyone who wants to send an encrypted message to the owner of the private key. It is used to encrypt the data and can be shared freely. The private key, conversely, is kept secret and is used to decrypt the encrypted message.
The overriding reason that encryption is hard is that secure computer systems have enemies and those enemies (attackers) will do anything to attack the system. They will attack it based on timing, compression problems, flaws in the protocol, freezing the RAM to extract a private key, etc. etc.

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