Encryption of Color Images with a New Framework

Implementation Using the Elzaki Transformation

  • Mardan A. Pirdawood Department of Mathematics, Faculty of Science and Health, Koya University, Danielle Mitterrand Boulevard, Koya KOY45, 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, Danielle Mitterrand Boulevard, Koya KOY45, 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
  • Omar Al-Rassam Department of Mathematics, Faculty of Science and Health, Koya University, Danielle Mitterrand Boulevard, Koya KOY45, Kurdistan Region – F.R. Iraq http://orcid.org/0000-0002-3235-5477
DOI: https://doi.org/10.14500/aro.11618
Keywords: Cryptography, Elzaki Transformations, Image Encryptions, Maclaurin Series

Abstract

The significance of image encryption has risen due to the widespread use of images as a key means of sharing data across different applications. Encryption methods are crucial in defending the confidentiality and integrity of valuable image data. This work proposes a novel method of image encryption technique based on the Elzaki transformation and substitution process, which is made possible by the extension of the Maclaurin series coefficients. The image is encrypted using an infinite series of hyperbolic functions and the Elzaki transform; the inverse Elzaki transform is then used to decrypt the image. Using modular arithmetic, the coefficients that result from the transformation are keyed.

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Author Biographies

Mardan A. Pirdawood, Department of Mathematics, Faculty of Science and Health, Koya University, Danielle Mitterrand Boulevard, Koya KOY45, Kurdistan Region – F.R. Iraq

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

Shadman R. Kareem , (1) Department of Mathematics, Faculty of Science and Health, Koya University, Danielle Mitterrand Boulevard, Koya KOY45, 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.

Omar Al-Rassam, Department of Mathematics, Faculty of Science and Health, Koya University, Danielle Mitterrand Boulevard, Koya KOY45, Kurdistan Region – F.R. Iraq

Omar Alrassam is a lecturer at the Department of Mathematics, Faculty of science and health/ Koya University. He got the B.Sc. degree in computer science, M.Sc. degree in Advanced computer science. His research interests are in computational linguistic, NLP and text processing.

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ARO Journal: Volume 12, No. 1 (2024)
Published
2024-06-14
How to Cite
Pirdawood, M. A., Kareem, S. and Al-Rassam, O. (2024) “Encryption of Color Images with a New Framework: Implementation Using the Elzaki Transformation”, ARO-THE SCIENTIFIC JOURNAL OF KOYA UNIVERSITY, 12(1), pp. 170-180. doi: 10.14500/aro.11618.
Issue
Vol. 12 No. 1 (2024): Issue Twenty Two
Section
Articles

Copyright (c) 2024 Mardan A. Pirdawood, Shadman Kareem, Omar Al-Rassam

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