The most common forms of encryption used today are;
Data Encryption Standard / DES
Triple DES
Advanced Encryption Standard / AES
Twofish
which are mostly symmetric encryption protocols. They use the same key codes for both parties involved in the communication process.
Asymmetric Encryption is widely used in daily communications that is done over the internet and it uses different keys for each party. The public key encrypts the message and then it is sent over to the recipient. The secret key which they have exchanged is then used the decrypt the message.