DNA Secret Writing With Laplace Transform of Mittag-Leffler Function

Mehmet Çağrı Yılmazer; Emrah Yılmaz; Tuba Gulsen; Mikail Et

doi:10.33187/jmsm.1241420

EN

DNA Secret Writing With Laplace Transform of Mittag-Leffler Function

Abstract

In this study, we present a new cryptosystem named Deoxyribose Nucleic Acid (DNA) secret writing with the Laplace transform of the Mittag-Leffler function. The method is proper for encrypting large files. In this technique, we consider the original message as binary sequence. These binary streams corresponding to the plain text is transformed to DNA bases by utilizing DNA encoding, then the DNA codes are transformed to positive integers. We apply the Laplace transform to these numbers which are coefficients of the expansion of the Mittag-Leffler function. To provide multi-stage protection, the outcome coefficients are transformed to binary sequences and other level of encryption with cumulative XOR is applied and equivalent MSBs obtained at every iteration are utilized for building cipher text. Decryption is implemented in the opposite way. We employ monobit test, correlation analysis for measuring the reliability of encryption, and Python programming language to obtain secret message, the plain text, and computations of statistical tests.

Keywords

Cryptology, Data encryption, DNA, Mittag-Leffler function, Laplace transform, Statistical tests

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Mehmet Çağrı Yılmazer
0000-0001-9784-838X
Türkiye

Emrah Yılmaz ^*
0000-0002-7822-9193
Türkiye

Tuba Gulsen
0000-0002-2288-8050
Türkiye

Mikail Et
0000-0001-8292-7819
Türkiye

Early Pub Date

December 7, 2023

Publication Date

December 21, 2023

Submission Date

January 24, 2023

Acceptance Date

August 25, 2023

Published in Issue

Year 2023 Volume: 6 Number: 3

DOI

https://doi.org/10.33187/jmsm.1241420

IZ

https://izlik.org/JA76FG76SB

APA

Yılmazer, M. Ç., Yılmaz, E., Gulsen, T., & Et, M. (2023). DNA Secret Writing With Laplace Transform of Mittag-Leffler Function. Journal of Mathematical Sciences and Modelling, 6(3), 120-132. https://doi.org/10.33187/jmsm.1241420

AMA

1.Yılmazer MÇ, Yılmaz E, Gulsen T, Et M. DNA Secret Writing With Laplace Transform of Mittag-Leffler Function. Journal of Mathematical Sciences and Modelling. 2023;6(3):120-132. doi:10.33187/jmsm.1241420

Chicago

Yılmazer, Mehmet Çağrı, Emrah Yılmaz, Tuba Gulsen, and Mikail Et. 2023. “DNA Secret Writing With Laplace Transform of Mittag-Leffler Function”. Journal of Mathematical Sciences and Modelling 6 (3): 120-32. https://doi.org/10.33187/jmsm.1241420.

EndNote

Yılmazer MÇ, Yılmaz E, Gulsen T, Et M (December 1, 2023) DNA Secret Writing With Laplace Transform of Mittag-Leffler Function. Journal of Mathematical Sciences and Modelling 6 3 120–132.

IEEE

[1]M. Ç. Yılmazer, E. Yılmaz, T. Gulsen, and M. Et, “DNA Secret Writing With Laplace Transform of Mittag-Leffler Function”, Journal of Mathematical Sciences and Modelling, vol. 6, no. 3, pp. 120–132, Dec. 2023, doi: 10.33187/jmsm.1241420.

ISNAD

Yılmazer, Mehmet Çağrı - Yılmaz, Emrah - Gulsen, Tuba - Et, Mikail. “DNA Secret Writing With Laplace Transform of Mittag-Leffler Function”. Journal of Mathematical Sciences and Modelling 6/3 (December 1, 2023): 120-132. https://doi.org/10.33187/jmsm.1241420.

JAMA

1.Yılmazer MÇ, Yılmaz E, Gulsen T, Et M. DNA Secret Writing With Laplace Transform of Mittag-Leffler Function. Journal of Mathematical Sciences and Modelling. 2023;6:120–132.

MLA

Yılmazer, Mehmet Çağrı, et al. “DNA Secret Writing With Laplace Transform of Mittag-Leffler Function”. Journal of Mathematical Sciences and Modelling, vol. 6, no. 3, Dec. 2023, pp. 120-32, doi:10.33187/jmsm.1241420.

Vancouver

1.Mehmet Çağrı Yılmazer, Emrah Yılmaz, Tuba Gulsen, Mikail Et. DNA Secret Writing With Laplace Transform of Mittag-Leffler Function. Journal of Mathematical Sciences and Modelling. 2023 Dec. 1;6(3):120-32. doi:10.33187/jmsm.1241420

Cited By

Applying Laplace transforms to cryptography using Bessel and exponential functions and performing detailed time and memory analysis

Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi

https://doi.org/10.17714/gumusfenbil.1780179

29237 Journal of Mathematical Sciences and Modelling 29238

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