Audio Encryption Framework Using the Laplace Transformation

Mardan A. Pirdawood; Shadman R. Kareem; Dashne Ch. Zahir

doi:10.14500/aro.11165

Mardan A. Pirdawood Department of Mathematics, Faculty of Science and Health, Koya University, Kurdistan Region – F.R. Iraq https://orcid.org/0000-0002-3234-1825
Shadman R. Kareem (1) Department of Mathematics, Faculty of Science and Health, Koya University, Kurdistan Region – F.R. Iraq; (2) Department of Computer Science, College of Information Technology and Computer Sciences, Catholic University in Erbil, Kurdistan Region – F.R. Iraq https://orcid.org/0000-0002-7982-156X
Dashne Ch. Zahir Department of Mathematics, Faculty of Science and Health, Koya University, Kurdistan Region – F.R. Iraq https://orcid.org/0000-0003-0886-7154

Keywords: Cryptography, Laplace transformations, Maclaurin series, Sound encryptions

Abstract

Digital information, especially multimedia and its applications, has grown exponentially in recent years. It is important to strengthen sophisticated encryption algorithms due to the security needs of these innovative systems. The security of real-time audio applications is ensured in the present study through a framework for encryption. The design framework protects the confidentiality and integrity of voice communications by encrypting audio applications. A modern method of securing communication and protecting data is cryptography. Using cryptography is one of the most important techniques for protecting data and ensuring the security of messaging. The main purpose of this paper is to present a novel encryption scheme that can be used in real-time audio applications. We encrypt the sound using a combination of an infinite series of hyperbolic functions and the Laplace transform, and then decrypt it using the inverse Laplace transform. The modular arithmetic rules are used to generate the key for the coefficients acquired from the transformation. There is no loss of data or noise in the decryption sound. We also put several sound examples to the test

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Author Biographies

Mardan A. Pirdawood, Department of Mathematics, Faculty of Science and Health, Koya University, Kurdistan Region – F.R. Iraq

Mardan A. Pirdawood is a Lecturer at the Department of Mathematics, Faculty of Science, Koya University. He got the B.Sc. degree in Mathematics and the M.Sc. degree in Nonstandard Mathematical Analysis. His research interests are in Nonstandard Analysis, Cryptography and Numerical Analysis.

Shadman R. Kareem, (1) Department of Mathematics, Faculty of Science and Health, Koya University, Kurdistan Region – F.R. Iraq; (2) Department of Computer Science, College of Information Technology and Computer Sciences, Catholic University in Erbil, Kurdistan Region – F.R. Iraq

Shadman R. Kareem is a Lecturer at the Department of Mathematics, Faculty of Science, Koya University. He got the B.Sc. degree in Mathematics, the M.Sc. degree in Fuzzy Topology and the Ph.D. degree in Algebraic Topology-Topological Data Analysis. His research interests are in Algebraic Topology, Topological Data Analysis and Cryptography.

Dashne Ch. Zahir, Department of Mathematics, Faculty of Science and Health, Koya University, Kurdistan Region – F.R. Iraq

Dashne Ch. Zahir is an Assistant lecturer at the Department of Mathematics, Faculty of Science and Health, Koya University. She got the B.Sc. Degree in Mathematics and the M.Sc. degree in Numerical Analysis. Her research interests are in Numerical Analysis and Cryptography.

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