NEW ENCRYPTION SCHEME USING FOURIER SINE AND COSINE TRANSFORMS AND FINITE STATE MACHINE

Abstract

Cryptography is the art and science of keeping message secure, has a long and fascinating history. Over the centuries, an elaborate set of protocols and mechanisms has been created to deal with information security issues, when the information is conveyed by physical documents. Often the objectives of information security cannot solely be achieved through mathematical algorithms and protocols alone, but require procedural techniques and abidance of laws to achieve the desired result.In mathematics the Fourier Sine and Cosine transforms are forms of the Fourier integral transform that do not use complex numbers. It is useful in many areas such as Signal processing statistics etc.Automata theory is the study of abstract computing devices or machines. In computer science we find many examples of finite state system and the theory of finite state systems, as a useful design tool for these systems. In the present paper an innovative technique for encrypting and hiding the data is proposed based on finite state machines and Fourier sine and cosine transformation. The efficacy of the proposed method is analysed, and the analysis shows an improved cryptographic protection in digital signals.