Asymmetric encryption is based on a pair of cryptographic keys. One of the keys is public, i.e. anyone can have access to it. The other key is private which should be kept secret. The keys are complementary which means that they go hand in hand, they are not independent of each other. If a value is calculated as the public key then the private key cannot be calculated independently otherwise the encryption process will fail. Normally the public key is used to encrypt a message and the private key is there for the decryption process but they can be used in the opposite direction as well. Asymmetric algorithms are also called Public Key Cryptography.
The most important advantage of asymmetric over symmetric encryption is that we don’t need to worry about distributing the public key. The key used in symmetric encryption must be known to all parties taking part in the encryption/decryption process which increases the chances of the key landing in the wrong hands. With asymmetric encryption we only need to worry about storing the private key, the public key can be freely distributed. For a hacker it is not practical to attempt to calculate the private key based on the public key, that is close to impossible to achieve.
However, asymmetric encryption is a very complex mathematical process which is a lot slower than symmetric encryption. Also, storing the private key can still be problematic.
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