The main purpose of using data encryption and key exchange protocols for non-commutative groups is to the increase security. The development of key exchange and encryption protocols has been driven by current developments in non-commutative group-based cryptography. In this study, we propose a non-abelian infinite group called SAS, which is easily handled, especially since it is represented as a matrix and then as a set of binary number vectors. The data is then used within a set of two new protocols: a key exchange protocol, such as the enhancement of the Anshel-Anshel-Goldfeld key exchange protocol, and a protocol of encryption and decryption (PED), the PED protocol, on the SAS group.