Self-Invertible Key on Cipher Polygraphic Polyfunction with Eigen Matrix based IMIE

Authors

  • FARIDAH BINTI YUNOS Jabatan Matematik dan Statistik Universiti Putra Malaysia. https://orcid.org/0000-0002-1197-0972
  • Nur Aqilah Fakhira Binti Ayub Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia.
  • Nurul Fatin Atiqa Binti Mohammad Rasyidi Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Muhammad Asyraf Bin Asbullah Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia.

DOI:

https://doi.org/10.58915/amci.v13i3.344

Abstract

Hill Cipher’s System and its modifications are still practiced mainly in sending a secret message involving images. One drawback that the recipient of the message is trying to overcome is to get the decryption key from the cipher text to plain text during the decryption process. Previous studies have proven that using self-invertible keys can reduce the computation cost to obtain this key. This paper generates a self-invertible matrix based on Integer-Entry Matrix with all Integer Eigenvalues (IMIE). Subsequently, we executed it into Cipher Polygraphic Polyfunction Cryptosystem and observed the effect.

Keywords:

Hill Cipher, self-invertible, matrix, decryption, eigenmatrix

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Published

2024-10-01

How to Cite

FARIDAH BINTI YUNOS, Nur Aqilah Fakhira Binti Ayub, Nurul Fatin Atiqa Binti Mohammad Rasyidi, & Muhammad Asyraf Bin Asbullah. (2024). Self-Invertible Key on Cipher Polygraphic Polyfunction with Eigen Matrix based IMIE. Applied Mathematics and Computational Intelligence (AMCI), 13(3), 13–25. https://doi.org/10.58915/amci.v13i3.344

Issue

Vol. 13 No. 3 (2024): Oct 2024

Section

Articles