Text encryption and decryption with first-order Bézier curve added (MKTEXT-5)

Authors

  • Mohammed Abdul-Hameed
  • Mohammed H. Dosh
  • A. N. Alanssari

Keywords:

text encryption, Bézier curve

Abstract

We utilized Bézier curve technology in our research, titled "Simulating a First-Order Bézier Curve in Image Encryption," to encrypt images. This technology will also be employed for encrypting texts in all languages. The first-order Bézier curve equation, although simple in structure, poses challenges for image encryption due to the privacy of its coefficient variables. However, it holds promise for encrypting texts, as it only requires changes in numerical values representing letters and symbols. The formula we will employ from Bézier curve technology for text encryption is:

  r = k1 * (p - 1) + k2 * p : 0 < |p| < 1

It's worth noting that we will generate

h = [h1 h2]  :  |h1| < |h2| such that  p = h1 / h2

p-values through a vector containing only two digital components:

This method differs from the one used in our image encryption research, "Simulating a First-Order Bézier Curve in Image Encryption," as we intentionally updated the Bézier curve technique's specifications. Thus, the resulting Bézier equation is now suitable for encrypting any text. In this research, we provide detailed algorithmic descriptions, along with comparisons of results, criteria, and findings from our previous works.

Published

2025-06-12

How to Cite

Abdul-Hameed, M., Dosh, M. H., & Alanssari, A. N. (2025). Text encryption and decryption with first-order Bézier curve added (MKTEXT-5). Journal of the College of Basic Education for Educational and Psychological Sciences and Humanities , 1(2), 88-112. https://journal.uokufa.edu.iq/index.php/jcbeepsh/article/view/20100

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