> ## Documentation Index
> Fetch the complete documentation index at: https://docs.theblockchainlibrary.com/llms.txt
> Use this file to discover all available pages before exploring further.

# Asymmetric Encryption

> Encryption that uses a mathematically related public and private key pair instead of one shared secret.

# Asymmetric Encryption

Encryption that uses a mathematically related public and private key pair instead of one shared secret.

## Definition

Encryption that uses a mathematically related public and private key pair instead of one shared secret.

## Why it matters

Cryptography provides the mathematical foundation for keys, signatures, privacy, integrity, and verification.

## How it works

A mathematical relationship is established between the public and private keys. Data encrypted with the public key can only be decrypted by the corresponding private key. Conversely, data 'signed' with a private key can be verified by anyone using the corresponding public key, proving the sender's identity.

## Real-world example

The Bitcoin protocol uses the Elliptic Curve Digital Signature Algorithm (ECDSA), a form of asymmetric encryption, to verify transactions.

## Advantages

* Secure communication without sharing secrets
* Enables digital signatures and identity verification
* Scalable for large networks

## Limitations

* Computationally slower than symmetric encryption
* Risk of losing the private key permanently
* Public keys can be linked to identity

## Common misconceptions

* Many mistakenly believe that public keys are used to decrypt messages sent to them.
* A common error is assuming that losing a private key allows for recovery via public key re-derivation.

## Related knowledge

* [Hash Function](/generated/v2/glossary/hash-function) — term

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**Canonical knowledge ID:** `glossary:asymmetric-encryption`