Toward Dynamic Signal Coding for Safe Communication Technology

This paper gives a theoretical background to dynamic generation of primitive polynomials, their usage in many fields including cryptography for a mobile communication systems. Presented polynomials and their generation over a Galois field is discussed. Additionally, the basic properties and arithmetic methods over finite fields of characteristic 3 are presented. The main objective of this paper is to outline the mathematical background for design and implementation for dynamic coding in mobile communication technology widely applied in telephones, computers and any device communicating over TCP/IP protocol.